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BEGIN:VEVENT
SUMMARY:Renming Song (University of Illinois Urbana-Champaign)
DTSTART;VALUE=DATE-TIME:20200623T130000Z
DTEND;VALUE=DATE-TIME:20200623T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/1
DESCRIPTION:Title: Factorizations and estimates of Dirichlet heat kernels for non-l
ocal operators with critical killings\nby Renming Song (University of
Illinois Urbana-Champaign) as part of Non-local operators\, probability an
d singularities\n\n\nAbstract\nIn this talk I will discuss heat kernel est
imates for critical perturbations \nof non-local operators. To be more pre
cise\, let $X$ be the reflected \n$\\alpha$-stable process in the closure
of a smooth open set $D$\, and \n$X^D$ the process killed upon exiting $D$
. We consider potentials of the \nform $\\kappa(x)=C\\delta_D(x)^{-\\alpha
}$ with positive $C$ and the \ncorresponding Feynman-Kac semigroups. Such
potentials do not belong \nto the Kato class. We obtain sharp two-sided es
timates for the heat \nkernel of the perturbed semigroups. The interior es
timates of the \nheat kernels have the usual $\\alpha$-stable form\, while
the boundary \ndecay is of the form $\\delta_D(x)^p$ with non-negative \n
$p\\in [\\alpha-1\, \\alpha)$ depending on the precise value of the \ncons
tant $C$. Our result recovers the heat kernel estimates of both \nthe cens
ored and the killed stable process in $D$. Analogous \nestimates are obtai
ned for the heat kernel of the Feynman-Kac \nsemigroup of the $\\alpha$-st
able process in \n${\\mathbf R}^d\\setminus \\{0\\}$ through the potential
$C|x|^{-\\alpha}$. \n\nAll estimates are derived from a more general resu
lt described as follows: \nLet $X$ be a Hunt process on a locally compact
separable metric space in \na strong duality with $\\widehat{X}$. Assume t
hat transition densities of \n$X$ and $\\widehat{X}$ are comparable to th
e function $\\widetilde{q}(t\,x\,y)$ \ndefined in terms of the volume of b
alls and a certain scaling function. \nFor an open set $D$ consider the ki
lled process $X^D$\, and a critical \nsmooth measure on $D$ with the corre
sponding positive additive functional \n$(A_t)$. We show that the heat ke
rnel of the the Feynman-Kac semigroup \nof $X^D$ through the multiplicativ
e functional $\\exp(-A_t)$ admits the \nfactorization of the form \n${\\ma
thbf P}_x(\\zeta >t)\\widehat{\\mathbf P}_y(\\widehat{\\zeta}>t)\\widetild
e{q}(t\,x\,y)$.\n\nThis talk is based on a joint paper with Soobin Cho\, P
anki Kim and Zoran Vondracek.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexei Kulik (Wrocław University of Science and Technology)
DTSTART;VALUE=DATE-TIME:20200630T130000Z
DTEND;VALUE=DATE-TIME:20200630T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/2
DESCRIPTION:Title: Moment bounds for dissipative semimartingales with heavy jumps\nby Alexei Kulik (Wrocław University of Science and Technology) as par
t of Non-local operators\, probability and singularities\n\n\nAbstract\nTh
e talk is based on a joint research with Ilya Pavlyukevich. We show that i
f the jumps of an Ito-semimartingale $X$ admit a finite $p$-moment\, $p>0$
\,\nthe radial part of its drift is dominated at $\\infty$ by $-|X|^\\kapp
a$ for some $\\kappa\\geq -1$\, and the balance condition $p+\\kappa>1$ ho
lds true\, then\nunder some further minor technical assumptions\n$\\sup_{t
\\geq 0} \\mathbb{E} |X_t|^{p_X}<\\infty$ for each $p_X\\in(0\,p+\\kappa-1
)$. The upper bound $p+\\kappa-1$ is generically optimal.\nThe proof is ba
sed on the extension of the method of Lyapunov functions to the semimartin
gale framework.\n\nOur study of the uniform-in-time moment estimates is st
rongly motivated by needs of the Stochastic Averaging/Homogenization theor
y for Levy driven multi-scale systems\, which will be discussed in the tal
k\, as well.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomasz Jakubowski (Wrocław University of Science and Technology)
DTSTART;VALUE=DATE-TIME:20200707T130000Z
DTEND;VALUE=DATE-TIME:20200707T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/3
DESCRIPTION:Title: Critical Schrödinger perturbations of fractional Laplacian\
nby Tomasz Jakubowski (Wrocław University of Science and Technology) as p
art of Non-local operators\, probability and singularities\n\n\nAbstract\n
Let $p(t\,x\,y)$ be the fundamental solution of the equation $\\partial_t
u(t\,x) = \\Delta^{\\alpha/2} u(t\,x)$.\nI will consider the integral equa
tion\n$$\n\\tilde{p}(t\,x\,y) = p(t\,x\,y) + \\int_0^t \\int_{\\mathbb{R}^
d} p(t-s\,x\,z) q(z) \\tilde{p}(s\,z\,y) dz ds\,\n$$\nwhere $q(z) = \\frac
{\\kappa}{|z|^{\\alpha}}$ and $\\kappa$ is some constant. The function $\\
tilde{p}$ solving this equation will be called the Schrödinger perturbati
ons of the function $p$ by $q$. I will present the results concerning th
e estimates of the function $\\tilde{p}$ in both cases $\\kappa>0$ and $\\
kappa<0$.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Franziska Kühn (Technical University of Dresden)
DTSTART;VALUE=DATE-TIME:20200714T130000Z
DTEND;VALUE=DATE-TIME:20200714T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/4
DESCRIPTION:Title: A maximal inequality for martingale problems and applications\nby Franziska Kühn (Technical University of Dresden) as part of Non-loc
al operators\, probability and singularities\n\n\nAbstract\nMartingale pro
blems aim to characterize stochastic processes by their martingale propert
ies. A famous example is Lévy's characterization theorem which characteri
zes Brownian motion by its first two conditional moments. More generally\,
a wide class of Markov processes and stochastic differential equations ca
n be described using martingale problems.\n\nIn this talk\, we study marti
ngale problems associated with Lévy-type operators. We present a maximal
inequality\, which goes back to R. Schilling\, and discuss some variants o
f it. We show that the maximal inequality has many useful applications in
the study of distributional and path properties of the corresponding stoch
astic process\, e.g. criteria for non-explosion in finite time\, existence
of moments\, ...\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Panki Kim (Seoul National University)
DTSTART;VALUE=DATE-TIME:20200721T130000Z
DTEND;VALUE=DATE-TIME:20200721T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/5
DESCRIPTION:Title: Estimates on transition densities of subordinators with jumping
density decaying in mixed polynomial orders\nby Panki Kim (Seoul Natio
nal University) as part of Non-local operators\, probability and singulari
ties\n\n\nAbstract\nIn this talk\, we discuss the sharp two-sided estimate
s on the transition densities for subordinators whose Lévy measures are a
bsolutely continuous and decaying in mixed polynomial orders. Under a weak
er assumption on Lévy measures\, we also discuss a precise asymptotic beh
aviors of the transition densities at infinity. Our results cover geometri
c stable subordinators\, Gamma subordinators and much more. This is a join
t work with Soobin Cho.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Krzysztof Bogdan (Wrocław University of Science and Technology)
DTSTART;VALUE=DATE-TIME:20200728T130000Z
DTEND;VALUE=DATE-TIME:20200728T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/6
DESCRIPTION:Title: Nonlinear nonlocal Douglas identity\nby Krzysztof Bogdan (Wr
ocław University of Science and Technology) as part of Non-local operator
s\, probability and singularities\n\n\nAbstract\nI will present results fr
om the joint work with Tomasz Grzywny\, Katarzyna Pietruska-Pałuba\, Artu
r Rutkowski with the same title (available at https://arxiv.org/abs/2006.0
1932 ). We give Hardy-Stein and Douglas identities for specific nonlinear
nonlocal Sobolev-Bregman integral forms with unimodal Lévy measures. We p
rove that the corresponding Poisson integral defines an extension operator
for the Sobolev-Bregman spaces. The results generalizes to the setting of
$L^p$ spaces the earlier results of the authors\, obtained for the (quadr
atic) Dirichlet forms and $L^2$ spaces.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victoria Knopova
DTSTART;VALUE=DATE-TIME:20200811T130000Z
DTEND;VALUE=DATE-TIME:20200811T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/7
DESCRIPTION:Title: Construction and heat kernel estimates of general stable-like Ma
rkov processes\nby Victoria Knopova as part of Non-local operators\, p
robability and singularities\n\n\nAbstract\nStarting with a non-symmetric
$\\alpha$-stable- like pseudo-differential operator $L$ defined on the
test functions\, we show that the corresponding martingale problem is wel
l-posed\, and its solution is a strong Markov process which admits a tran
sition probability density. We investigate the structure of this density
in the vicinity of the starting point. In particular\, we show that due
to the non-symmetry the respective density is not necessarily bounded\, an
d one needs additional assumptions on the Lévy-type kernel of the opera
tor in order to get a point-wise upper bound on the transition probabilit
y density.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xicheng Zhang (Wuhan)
DTSTART;VALUE=DATE-TIME:20200915T130000Z
DTEND;VALUE=DATE-TIME:20200915T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/8
DESCRIPTION:Title: Singular HJB equations with applications to KPZ on the real line
\nby Xicheng Zhang (Wuhan) as part of Non-local operators\, probabilit
y and singularities\n\n\nAbstract\nI will talk about the Hamilton-Jacobi-B
ellman equations with distribution-valued coefficients\, which is not wel
l-defined in the classical sense and shall be understood by using paracont
rolled distribution method introduced by Gubinelli-Imkeller-Perkowski. By
a new characterization of weighted Hölder space and Zvonkin's transformat
ion we prove some new a priori estimates\, and therefore\, establish the g
lobal well-posedness for singular HJB equations. As an application\, the g
lobal well-posedness for KPZ equations on the real line in polynomial weig
hted Hölder spaces is obtained without using Cole-Hopf's transformation.
This is a joint work with Rongchan Zhu and Xiangchan Zhu.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zoran Vondraček (Zagreb)
DTSTART;VALUE=DATE-TIME:20200922T130000Z
DTEND;VALUE=DATE-TIME:20200922T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/9
DESCRIPTION:Title: On the potential theory of Markov processes with jump kernels de
caying at the boundary\nby Zoran Vondraček (Zagreb) as part of Non-lo
cal operators\, probability and singularities\n\n\nAbstract\nIn this talk\
, I will consider some potential theory of the process $Y$ on an open set
$D\\subset \\mathbb{R}^d$ associated with a pure jump Dirichlet form whose
jump kernel has the form $J(x\,y)=B(x\,y)|x-y|^{-d-\\alpha}$\, $0<\\alpha
<2$. Here $B(x\,y)$ -- the boundary term -- depends on $\\delta_D(x)\, \\d
elta_D(y)$ and $|x-y|$\, and is allowed to approach 0 at the boundary. Thi
s is in contrast with previous works where $B(x\,y)$ is assumed to be boun
ded between two positive constants\, which can be viewed as a uniform elli
pticity condition for non-local operators. The conditions and the form of
the boundary term $B(x\,y)$ are motivated by jump kernels of some subordin
ate killed Lévy processes.\n\nWe prove that non-negative harmonic functio
ns of the process satisfy the Harnack inequality and Carleson's estimate.
Furthermore\, in case when $D$ is the half-space we investigate when the b
oundary Harnack principle holds. This is joint work with Panki Kim (Seoul
National University) and Renming Song (University of Illinois).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angkana Rüland (Heidelberg)
DTSTART;VALUE=DATE-TIME:20200929T130000Z
DTEND;VALUE=DATE-TIME:20200929T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/10
DESCRIPTION:Title: Uniqueness\, stability and single measurement recovery for the
fractional Calderón problem\nby Angkana Rüland (Heidelberg) as part
of Non-local operators\, probability and singularities\n\n\nAbstract\nIn t
his talk I discuss a nonlocal inverse problem\, the\nfractional Calderón
problem. This is an inverse problem for a\nfractional Schrödinger equatio
n in which one seeks to recover\ninformation on an unknown potential by ex
terior measurements. In the\ntalk\, I prove uniqueness and stability of th
e "infinite data problem"\nand then address the recovery question. This al
so yields surprising\ninsights on the uniqueness properties of the invers
e problem\, in that it\nturns out that a single measurement suffices to un
iquely recover the\npotential.\n\nThese properties are based on the very s
trong unique continuation and\napproximation properties of fractional Schr
ödinger operators\, which are\nof independent interest and which I also d
iscuss in the talk.\n\nThis is based on joint work with T. Ghosh\, M. Salo
and G. Uhlmann.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hongjie Dong (Brown)
DTSTART;VALUE=DATE-TIME:20201006T130000Z
DTEND;VALUE=DATE-TIME:20201006T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/11
DESCRIPTION:Title: Evolutionary equations with nonlocal time derivatives\nby H
ongjie Dong (Brown) as part of Non-local operators\, probability and singu
larities\n\n\nAbstract\nI will present some recent results about fractiona
l parabolic and wave equations with nonlocal Caputo time derivatives. Unde
r various vanishing mean oscillation (VMO) conditions on the leading coeff
icients\, we obtained weighted and mixed-norm Sobolev estimates in the who
le space\, half space\, or domains.\n\nThis is based on joint work with Do
yoon Kim (Korea University) and Yanze Liu (Brown University).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daesung Kim (Illinois Urbana-Champaign)
DTSTART;VALUE=DATE-TIME:20201013T130000Z
DTEND;VALUE=DATE-TIME:20201013T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/12
DESCRIPTION:Title: Quantitative isoperimetric inequalities arising from stochastic
processes\nby Daesung Kim (Illinois Urbana-Champaign) as part of Non-
local operators\, probability and singularities\n\n\nAbstract\nIt is well
known that isoperimetric type inequalities hold for a large class of quant
ities arising from Brownian motion. Banuelos and Mendez-Hernandez showed t
hat such inequalities can be extended to a wide class of Levy processes. A
stability question is if the inequality will be about to achieving the eq
uality when a given domain is close to being a ball. This question can be
answered by quantitative improvement of such inequalities in terms of the
asymmetry. In this talk\, we discuss the quantitative isoperimetric inequa
lities for the expected lifetime of Brownian motion and $\\alpha$-stable p
rocesses\, and some related open problems.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Igor Verbitsky (Missouri)
DTSTART;VALUE=DATE-TIME:20201020T140000Z
DTEND;VALUE=DATE-TIME:20201020T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/13
DESCRIPTION:Title: Pointwise estimates of positive solutions to linear and semilin
ear equations with nonlocal operators\nby Igor Verbitsky (Missouri) as
part of Non-local operators\, probability and singularities\n\n\nAbstract
\nRecent results will be presented involving sharp global pointwise estima
tes of positive solutions to some linear and semilinear partial different
ial equations and inequalities with nonlocal operators satisfying various
forms of the maximum principle or domination principle. In particular\, e
quations of the type\n\\[\n(-\\Delta)^{\\frac{\\alpha}{2}} u = g(u) \\sigm
a +\\mu \\quad \\text{in} \\\, \\\,\n\\Omega\, \\quad u=0 \\\, \\\, \\\, \
\text{in} \\\, \\\, \\Omega^c\,\n\\]\nwith measure coefficients $\\sigma$\
, $\\mu$\, where $g(u)=u^q$ and $0< \\alpha < n$ in certain domains $\\Ome
ga \\subseteq {\\mathbb{R}}^n$\, or Riemannian manifolds\, with positive G
reen's function will be discussed.\n\nJoint work with Alexander Grigor'yan
.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jie-Ming Wang (Beijing)
DTSTART;VALUE=DATE-TIME:20201103T140000Z
DTEND;VALUE=DATE-TIME:20201103T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/14
DESCRIPTION:Title: Boundary Harnack Principle for Diffusion with Jumps\nby Jie
-Ming Wang (Beijing) as part of Non-local operators\, probability and sing
ularities\n\n\nAbstract\nFor $d\\geq 3$\, consider the operator ${\\mathca
l L}^{\\bf b}={\\mathcal L}^0+b_1\\cdot \\nabla+{\\mathcal S}^{b_2}$\,\nwh
ere ${\\mathcal L}^0$ is a second order elliptic operator in non-diverge
nce form\,\nthe function $b_1$ belongs to some Kato class and\n$$\n{\\mat
hcal S}^{b_2} f(x):=\n\\int_{{\\mathbb R}^d} \\left( f(x+z)-f(x)- \\nabla
f(x) \\cdot\nz\\\, {\\mathbb 1}_{{|z|\\leq 1}} \\right) b_2(x\, z)J_0(z)
\\\,dz\, \\quad f\\in C_b^2({\\mathbb R}^d)\,\n$$\nwhere $J_0(z)$ satisfie
s that there exist positive constants $c_1\, c_2$ and $0<\\beta_1\\leq \\b
eta_2 <2$ such that\n $$c_1 (|z_2|/|z_1|)^{d+\\beta_1} \\leq J_0(z_1)/J_0
(z_2)\n\\leq c_2 (|z_2|/|z_1|)^{d+\\beta_2}\n\\quad {f\\!or\\\, any}\\quad
z_1\, z_2\\in {\\mathbb R}^d \\quad{with}\\quad 0<|z_1|\\leq |z_2|\,$$\n
$b_2(x\, z)$ is a real-valued bounded function\non ${\\mathbb R}^d\\time
s {\\mathbb R}^d$ satisfying for each $x\\in {\\mathbb R}^d$\,\n$ b_2(x\,
\\cdot )\\geq 0$ a.e. on ${\\mathbb R}^d$\, and\n$$\n1_{\\beta_2=1} \\
int_{r<|z|\\leq R}z b_2(x\, z) J_0(z)\\\,dz=0 \\quad {f\\!or\\\, every}\\q
uad x\\in {\\mathbb R}^d\n\\quad {and}\\quad 0< r < R < \\infty.\n$$\nUnde
r the uniformly ellipticity condition and Hölder condition on the diffusi
on coefficient $a_{ij}\,$\nthere exists a conservative Feller process $X^{
\\bf b}$ with its infinitesimal generator ${\\mathcal L}^{\\bf b}$.\nWe gi
ve the two-sided Green function estimates of $X^{\\bf b}$ on a bounded $C^
{1\,1}$ domain $D$ and further establish the Martin integral representatio
n of harmonic function with respect to $X^{\\bf b}$ on the domain $D$.\nU
sing the Green function estimates and the Martin integral formula in $D$\
, the Harnack principle and the boundary Harnack principle with explicit b
oundary decay rate for the operator ${\\mathcal L}^{\\bf b}$ under some mi
ld conditions\nare established.\nThis talk is based on a joint work with
Professor Z.-Q. Chen.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jian Wang (Fujian)
DTSTART;VALUE=DATE-TIME:20201110T140000Z
DTEND;VALUE=DATE-TIME:20201110T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/15
DESCRIPTION:Title: Heat kernel upper bounds for symmetric Markov semigroups\nb
y Jian Wang (Fujian) as part of Non-local operators\, probability and sing
ularities\n\n\nAbstract\nIt is well known that Nash-type inequalities for
symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper
bounds for associated symmetric Markov semigroups. In this talk\, we show
that both imply (and hence are equivalent to) off-diagonal heat kernel upp
er bounds under some mild assumptions. Our approach is based on a new gen
eralized Davies's method. Our results extend that by Carlen-Kusuoka-Strooc
k for Nash-type inequalities with power order considerably and also extend
that by Grigor'yan for second order differential operators on a complete
non-compact manifold.\n\nThe talk is based on a joint work with Z.-Q. Chen
(Seattle)\, P. Kim (Seoul) and T. Kumagai (Kyoto).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tadeusz Kulczycki (Wroclaw)
DTSTART;VALUE=DATE-TIME:20201117T140000Z
DTEND;VALUE=DATE-TIME:20201117T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/16
DESCRIPTION:Title: On weak solution of SDE driven by inhomogeneous singular Lévy
noise.\nby Tadeusz Kulczycki (Wroclaw) as part of Non-local operators\
, probability and singularities\n\n\nAbstract\nWe study the stochastic dif
ferential equation\n$dX_t = A_t(X_{t-}) \\\, dZ_t$\, $ X_0 = x$\,\nwhere $
Z_t = (Z_t^{(1)}\,\\ldots\,Z_t^{(d)})^T$ and for each $i \\in \\{1\,\\ldot
s\,d\\}$ $Z_t^{(i)}$ is a one-dimensional\, symmetric $\\alpha_i$-stable p
rocess\, where $\\alpha_i \\in (0\,2)$. Under appropriate conditions on $\
\alpha_1\,\\ldots\,\\alpha_d$ and on matrices $A_t$ we prove existence an
d uniqueness of the weak solution of the above SDE\, which will be shown t
o be a time-inhomogeneous Markov process. We also provide a representation
of the transition probability density of this process as a sum of explici
tly given ‘principal part’\, and a ‘residual part’ subject to a se
t of estimates showing that this part is negligible in a short time. The t
alk is based on a joint work with A. Kulik and M. Ryznar.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Longmin Wang (Nankai)
DTSTART;VALUE=DATE-TIME:20201201T140000Z
DTEND;VALUE=DATE-TIME:20201201T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/17
DESCRIPTION:Title: Branching Random Walks on Hyperbolic Spaces\nby Longmin Wan
g (Nankai) as part of Non-local operators\, probability and singularities\
n\n\nAbstract\nThe branching Brownian motion on the hyperbolic plane with
binary\nfission at rate $\\lambda > 0$ exhibits a phase transition in\n$\\
lambda$: For $\\lambda \\leq 1/8$ the number of particles in any\ncompact
region is eventually $0$\, w.p.1\, but for $\\lambda > 1/8$\nthe number of
particles in any open region grows to $\\infty$\nw.p.1. Lalley and Sellke
(1987) proved that in the subcritical and\ncritical case ($\\lambda \\leq
1/8$) the set $\\Lambda$ of all limit\npoints in the boundary circle at $
\\infty$ consisting of particle\ntrails is a Cantor set\, while in the sup
ercritical case ($\\lambda\n>1/8$) the set $\\Lambda$ has full Lebesgue me
asure. For $\\lambda\n\\leq 1/8$ the Hausdorff dimension of $\\Lambda$ is
at most $1/2$\nand has critical exponent $1/2$ near the critical value $\
\lambda =\n1/8$. In this talk we will prove the same type of phase transit
ion\noccurs for branching random walks on hyperbolic spaces.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mateusz Kwaśnicki (Wroclaw)
DTSTART;VALUE=DATE-TIME:20201124T140000Z
DTEND;VALUE=DATE-TIME:20201124T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/19
DESCRIPTION:Title: Harmonic extensions\, operators with completely monotone kernel
s\, and traces of 2-D diffusions\nby Mateusz Kwaśnicki (Wroclaw) as p
art of Non-local operators\, probability and singularities\n\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jerome Goldstein (Memphis)
DTSTART;VALUE=DATE-TIME:20201208T150000Z
DTEND;VALUE=DATE-TIME:20201208T160000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/20
DESCRIPTION:Title: The Boderline between Some Good Problems and the Corresponding
Bad Problems\nby Jerome Goldstein (Memphis) as part of Non-local opera
tors\, probability and singularities\n\n\nAbstract\nWe will discuss three
problems in PDE for which existence or nonexistence of\ncertain kinds of e
quations is a delicate issue. Many coauthors are involved\, and the\nprobl
ems are related to each other.\n\nThe first problem involves work from the
1970s about uniqueness for certain\nill posed problems involving the Eule
r-Poisson-Darboux equation. The number of\ninitial conditions required for
uniqueness involves the size of negative parameter in\nthe singular term
and the definition of solution.\n\nThe second problem involves the Schröd
inger operator with the inverse square\npotential multiplied by a constant
c. The spectrum of this operator on $L^2(\\mathbb{R}^n)$ is\neither $\\ma
thbb{R}$ or $\\mathbb{R}^+$\, depending on the choice of c: In the 1980s\,
it was proved that the corresponding heat equation has instantaneous blow
up and no positive solutions\nwhen the spectrum is $\\mathbb{R}$. The cor
responding result is true when Euclidean space is\nreplaced by the Heisenb
erg group\; this was proved in 2020.\n\nThe final problem is nonlinear and
involves the parabolic problem for the fast\ndiffusion equation or the p-
Laplacian heat equation\, perturbed in various ways\, on\nEuclidean space
or on a Riemannaian manifold. In some cases one can show the\nabsence of n
onnegative solutions (except for the zero function).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Moritz Kassmann (Bielefeld)
DTSTART;VALUE=DATE-TIME:20210112T140000Z
DTEND;VALUE=DATE-TIME:20210112T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/21
DESCRIPTION:Title: Heat kernel estimates for mixed systems of diffusions and jump
processes\nby Moritz Kassmann (Bielefeld) as part of Non-local operato
rs\, probability and singularities\n\n\nAbstract\nWe prove sharp heat kern
el estimates for symmetric Markov processes that are independent copies of
one-dimensional jump or diffusion processes. The result can be seen as a
robustness result for heat kernels like the one of Aronson (1968) for dif
fusions or the one of Chen/Kumagai (2003) for isotropic jump processes. Th
e talk is based on a joint work together with Jaehoon Kang (KAIST).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guohuan Zhao (Bielefeld)
DTSTART;VALUE=DATE-TIME:20201215T140000Z
DTEND;VALUE=DATE-TIME:20201215T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/22
DESCRIPTION:Title: Regularity properties of jump diffusions with irregular coeffic
ients\nby Guohuan Zhao (Bielefeld) as part of Non-local operators\, pr
obability and singularities\n\n\nAbstract\nIn this talk\, I plan to presen
t some results about the regularity properties of strong solutions to SDEs
driven by Lévy processes with irregular drift coefficients. In short\, I
will show the Malliavin differentiability of the unique strong solutions
as well as the differentiability of the stochastic flows with respect to t
he spatial variable. Meanwhile\, I will also talk about the Schauder's est
imate for the resolvent equations corresponding to the SDEs.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carina Geldhauser (Lund)
DTSTART;VALUE=DATE-TIME:20210119T140000Z
DTEND;VALUE=DATE-TIME:20210119T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/23
DESCRIPTION:Title: The fractional Green function in atmospheric turbulence models<
/a>\nby Carina Geldhauser (Lund) as part of Non-local operators\, probabil
ity and singularities\n\n\nAbstract\nIn this talk we discuss a family of d
iscrete models for atmospheric turbulence\, often called point vortex mode
ls.\n\nWe state some of it basic properties and show how we can derive an
effective PDE\, the so-called mean field limit\, from the discrete Hamilto
nian system\, by using a variational principle. Furthermore\, we discuss
the usage and interpretation of these models in statistical physics.\n\nTh
e content of this talk is based joint work with Marco Romito (Uni Pisa).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Damir Kinzebulatov (Quebec)
DTSTART;VALUE=DATE-TIME:20210126T140000Z
DTEND;VALUE=DATE-TIME:20210126T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/25
DESCRIPTION:Title: Fractional Kolmogorov operator and desingularizing weights\
nby Damir Kinzebulatov (Quebec) as part of Non-local operators\, probabili
ty and singularities\n\n\nAbstract\nThe subject of this talk are sharp two
-sided bounds on the heat kernel of the fractional Laplacian perturbed by
a Hardy-type drift\, which we establish by transferring the operator to an
appropriate weighted space with singular weight. The talk is based on joi
nt papers with Yu.A.Semenov and K.Szczypkowski.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vanja Wagner (Zagreb)
DTSTART;VALUE=DATE-TIME:20210202T140000Z
DTEND;VALUE=DATE-TIME:20210202T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/26
DESCRIPTION:Title: Semilinear equations for non-local operators: beyond the fracti
onal Laplacian\nby Vanja Wagner (Zagreb) as part of Non-local operator
s\, probability and singularities\n\n\nAbstract\nWe study semilinear probl
ems in general bounded open sets for non-local operators with exterior and
boundary conditions\, where the operators are more general than the fract
ional Laplacian. We also give results in case of bounded $C^{1\,1}$ open s
ets. The talk is based on joint work with Ivan Biočić and Zoran Vondrač
ek.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luis Silvestre (The University of Chicago)
DTSTART;VALUE=DATE-TIME:20210316T140000Z
DTEND;VALUE=DATE-TIME:20210316T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/27
DESCRIPTION:Title: Regularity estimates for the Boltzmann equation without cutoff<
/a>\nby Luis Silvestre (The University of Chicago) as part of Non-local op
erators\, probability and singularities\n\n\nAbstract\nWe study the regula
rization effect of the inhomogeneous Boltzmann equation without cutoff. We
obtain a priori estimates for all derivatives of the solution depending o
nly on bounds of its hydrodynamic quantities: mass density\, energy densit
y and entropy density. As a consequence\, a classical solution to the equa
tion may fail to exist after a certain time T only if at least one of thes
e hydrodynamic quantities blows up. Our analysis applies to the case of mo
derately soft and hard potentials. We use methods that originated in the s
tudy of nonlocal elliptic and parabolic equations: a weak Harnack inequali
ty in the style of De Giorgi\, and a Schauder-type estimate.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gisèle Goldstein (The University of Memphis)
DTSTART;VALUE=DATE-TIME:20210323T140000Z
DTEND;VALUE=DATE-TIME:20210323T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/28
DESCRIPTION:Title: On Thomas-Fermi Theory and Extensions\nby Gisèle Goldstein
(The University of Memphis) as part of Non-local operators\, probability
and singularities\n\n\nAbstract\nOf concern to quantum chemists and solid
state physicists is the approximate numerical computation of the ground st
ate wave function\, and the ground state energy and density for molecular
and other quantum mechanical systems. Since the number of molecules in bul
k matter is of the order of 1026\, direct computation is too cumbersome or
impossible in many situations. In 1927\, L. Thomas and E. Fermi proposed
replacing the ground state wave function by the ground state density\, whi
ch is a function of only three variables. Independently\, each found an ap
proximate expansion for the energy associated with a density. (The wave fu
nction uniquely determines the density\, but not conversely.)\n\nA computa
tionally better approximate expansion was found in the 1960’s by W. Kohn
and his collaborators\; for this work Kohn got the Nobel Prize in Chemist
ry in 1998. A successful attempt to put Thomas-Fermi theory into a rigorou
s mathematical framework was begun in the 1970’s by E. Lieb and B. Simon
and was continued and expanded by Ph. Benilan\, H. Brezis and others. Ver
y little rigorous mathematics supporting Kohn density functional theory is
known. In this talk I will present a survey of rigorous Thomas-Fermi theo
ry\, including recent developments and open problems (in the\ncalculus of
variations and semilinear elliptic systems).\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kazuhiro Kuwae (Fukuoka University)
DTSTART;VALUE=DATE-TIME:20210330T130000Z
DTEND;VALUE=DATE-TIME:20210330T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/29
DESCRIPTION:Title: Lp-Kato class measures for symmetric Markov processes under hea
t kernel estimates\nby Kazuhiro Kuwae (Fukuoka University) as part of
Non-local operators\, probability and singularities\n\n\nAbstract\nI will
talk on the coincidence of two classes of $L^p$-Kato class measures\nin th
e framework of symmetric Markov processes admitting upper and lower estima
tes of heat kernel under mild conditions. One class of $L^p$-Kato class me
asures is defined by the $p$-th power of positive order resolvent kernel\,
another is defined in terms of the $p$-th power of Green kernel depending
on some exponents related to the heat kernel estimates. We also prove tha
t $q$-th integrable functions on balls with radius $1$ having uniformity o
f its norm with respect to centers are of $L^p$-Kato class if $q$ is great
er than a constant related to $p$ and the constants appeared in the upper
and lower estimates of the heat kernel. These are complete extensions of s
ome results\nby Aizenman-Simon and the recent results by the second named
author in the framework of Brownian motions on Euclidean space. We further
give necessary and sufficient conditions\nfor a Radon measure with Ahlfor
s regularity to belong to $L^p$-Kato class. Our results can be applicable
to many examples\, for instance\, symmetric (relativistic) stable processe
s\, jump processes on $d$-sets\, Brownian motions on Riemannian manifolds\
, diffusions on fractals and so on.\nJoint work with Takahiro Mori.\n\nThe
details can be seen in https://arxiv.org/abs/2008.10934\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qi Zhang (University of California\, Riverside)
DTSTART;VALUE=DATE-TIME:20210504T130000Z
DTEND;VALUE=DATE-TIME:20210504T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/31
DESCRIPTION:by Qi Zhang (University of California\, Riverside) as part of
Non-local operators\, probability and singularities\n\nInteractive livestr
eam: https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU
0UT09\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/31/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolai Krylov (University of Minnesota)
DTSTART;VALUE=DATE-TIME:20210416T140000Z
DTEND;VALUE=DATE-TIME:20210416T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/32
DESCRIPTION:Title: (joint with Montreal-Quebec Analsyis Seminar)\nby Nicolai K
rylov (University of Minnesota) as part of Non-local operators\, probabili
ty and singularities\n\n\nAbstract\nFind out more details:\n\nhttps://rese
archseminars.org/seminar/MathematicalAnalysis\n\nhttps://www.math.mcgill.c
a/jakobson/analysish/seminar.html\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jamil Chaker (Bielefeld University)
DTSTART;VALUE=DATE-TIME:20210420T130000Z
DTEND;VALUE=DATE-TIME:20210420T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/33
DESCRIPTION:Title: On nonlocal operators with anisotropic kernels\nby Jamil Ch
aker (Bielefeld University) as part of Non-local operators\, probability a
nd singularities\n\nInteractive livestream: https://pwr-edu.zoom.us/j/9661
6963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\n\nAbstract\nIn this talk we
study a class of (linear and nonlinear) integro-differential operators wit
h anisotropic and singular kernels. We present local robust regularity est
imates for weak solutions in the general framework of bounded measurable c
oefficients. \nThe results in this talk are based on joint works with Mori
tz Kassmann\, Minhyun Kim and Marvin Weidner.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/33/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomasz Grzywny (Wroclaw University of Science and Technology)
DTSTART;VALUE=DATE-TIME:20210615T130000Z
DTEND;VALUE=DATE-TIME:20210615T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/35
DESCRIPTION:by Tomasz Grzywny (Wroclaw University of Science and Technolog
y) as part of Non-local operators\, probability and singularities\n\nInter
active livestream: https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsO
HFRZ01mYkZoaXU0UT09\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/35/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yana Butko (Universität des Saarlandes)
DTSTART;VALUE=DATE-TIME:20210727T130000Z
DTEND;VALUE=DATE-TIME:20210727T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/36
DESCRIPTION:by Yana Butko (Universität des Saarlandes) as part of Non-loc
al operators\, probability and singularities\n\nInteractive livestream: ht
tps://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\n
Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/36/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Timur Yastrzhembskiy (Brown University)
DTSTART;VALUE=DATE-TIME:20210601T130000Z
DTEND;VALUE=DATE-TIME:20210601T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/37
DESCRIPTION:by Timur Yastrzhembskiy (Brown University) as part of Non-loca
l operators\, probability and singularities\n\nInteractive livestream: htt
ps://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/37/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stjepan Šebek (University of Zagreb)
DTSTART;VALUE=DATE-TIME:20210608T130000Z
DTEND;VALUE=DATE-TIME:20210608T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/38
DESCRIPTION:by Stjepan Šebek (University of Zagreb) as part of Non-local
operators\, probability and singularities\n\nInteractive livestream: https
://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\nAbs
tract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/38/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mario Maurelli (University of York)
DTSTART;VALUE=DATE-TIME:20210427T130000Z
DTEND;VALUE=DATE-TIME:20210427T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/39
DESCRIPTION:by Mario Maurelli (University of York) as part of Non-local op
erators\, probability and singularities\n\nInteractive livestream: https:/
/pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\nAbstr
act: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/39/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Katarzyna Pietruska-Pałuba (University of Warsaw)
DTSTART;VALUE=DATE-TIME:20210511T130000Z
DTEND;VALUE=DATE-TIME:20210511T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/40
DESCRIPTION:by Katarzyna Pietruska-Pałuba (University of Warsaw) as part
of Non-local operators\, probability and singularities\n\nInteractive live
stream: https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZo
aXU0UT09\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/40/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomasz Klimsiak (Institute of Mathematics Polish Academy of Scienc
es)
DTSTART;VALUE=DATE-TIME:20210525T130000Z
DTEND;VALUE=DATE-TIME:20210525T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/41
DESCRIPTION:by Tomasz Klimsiak (Institute of Mathematics Polish Academy of
Sciences) as part of Non-local operators\, probability and singularities\
n\nInteractive livestream: https://pwr-edu.zoom.us/j/96616963666?pwd=SlBre
mh5S3hsOHFRZ01mYkZoaXU0UT09\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/41/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Minhyun Kim (Bielefeld University)
DTSTART;VALUE=DATE-TIME:20210622T130000Z
DTEND;VALUE=DATE-TIME:20210622T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/42
DESCRIPTION:by Minhyun Kim (Bielefeld University) as part of Non-local ope
rators\, probability and singularities\n\nInteractive livestream: https://
pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/42/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nikola Sandrić (University of Zagreb)
DTSTART;VALUE=DATE-TIME:20210629T130000Z
DTEND;VALUE=DATE-TIME:20210629T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T092700Z
UID:NonLocalOperators/43
DESCRIPTION:by Nikola Sandrić (University of Zagreb) as part of Non-local
operators\, probability and singularities\n\nInteractive livestream: http
s://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0UT09\nAb
stract: TBA\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/43/
URL:https://pwr-edu.zoom.us/j/96616963666?pwd=SlBremh5S3hsOHFRZ01mYkZoaXU0
UT09
END:VEVENT
END:VCALENDAR