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BEGIN:VEVENT
SUMMARY:Romain Aimino (University of Porto)
DTSTART;VALUE=DATE-TIME:20201113T140000Z
DTEND;VALUE=DATE-TIME:20201113T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/1
DESCRIPTION:Title: Large deviations estimates for dynamical systems with stretched expo
nential decay of correlations\nby Romain Aimino (University of Porto)
as part of Zoominar in Dynamical Systems @ Porto\n\n\nAbstract\nDuring thi
s talk\, I will discuss results on large deviations estimates for dynamica
l systems with stretched exponential decay of correlations. This class of
systems encompasses for instance Viana maps and intermittent maps exhibiti
ng a stretched exponential fast accumulation of pre-orbits at 0. Optimal r
ates for large deviations of such systems are still unknown. I will presen
t a substancial improvement obtained in a joint work with Jorge Freitas.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yeor Hafouta (Ohio State University)
DTSTART;VALUE=DATE-TIME:20201120T140000Z
DTEND;VALUE=DATE-TIME:20201120T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/2
DESCRIPTION:Title: Limit theorems for some time-dependent expanding dynamical systems\nby Yeor Hafouta (Ohio State University) as part of Zoominar in Dynamic
al Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Matheus (Centre de Mathématiques Laurent Schwartz)
DTSTART;VALUE=DATE-TIME:20201127T140000Z
DTEND;VALUE=DATE-TIME:20201127T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/3
DESCRIPTION:Title: Speed of mixing of geodesic flows on certain non-positively curved s
urfaces\nby Carlos Matheus (Centre de Mathématiques Laurent Schwartz)
as part of Zoominar in Dynamical Systems @ Porto\n\n\nAbstract\nIn this t
alk\, we discuss the speed of mixing on certain surfaces whose curvatures
are negative except along a closed geodesic. This is a joint work in progr
ess with Y. Lima and I. Melbourne\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jaqueline Siqueira (Universidade Federal do Rio de Janeiro)
DTSTART;VALUE=DATE-TIME:20201204T140000Z
DTEND;VALUE=DATE-TIME:20201204T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/4
DESCRIPTION:Title: Equilibrium states for a class of non-uniformly hyperbolic maps\
nby Jaqueline Siqueira (Universidade Federal do Rio de Janeiro) as part of
Zoominar in Dynamical Systems @ Porto\n\n\nAbstract\nWe consider a wide f
amily of non-uniformly hyperbolic maps and hyperbolic potentials and prove
that the unique equilibrium state associated to each element of the famil
y is given by the eigenmeasure and the eigenfunction of the transfer opera
tor (both having the spectral radius as an eigenvalue). We prove that the
transfer operator has the spectral gap property in the space of Hölder c
ontinuous observables. From this we derive that the unique equilibrium sta
te satisfies a central limit theorem and that it has exponential decay of
correlations. Moreover\, we prove joint continuity and analyticity with re
spect to the potential. (Based on various joint works with S. Afonso\, J.
Alves\, V. Ramos.)\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giulio Tiozzo (University of Toronto)
DTSTART;VALUE=DATE-TIME:20201218T140000Z
DTEND;VALUE=DATE-TIME:20201218T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/6
DESCRIPTION:Title: Central limit theorems for counting measures in coarse negative curv
ature\nby Giulio Tiozzo (University of Toronto) as part of Zoominar in
Dynamical Systems @ Porto\n\n\nAbstract\nWe establish general central lim
it theorems for an action of a group on a hyperbolic space with respect to
counting for the word length in the group. In 2013\, Chas\, Li\, and Mask
it produced numerical experiments on random closed geodesics on a hyperbol
ic pair of pants. Namely\, they drew uniformly at random conjugacy classes
of a given word length\, and considered the hyperbolic length of the corr
esponding closed geodesic on the pair of pants. Their experiments lead to
the conjecture that the length of these closed geodesics satisfies a cent
ral limit theorem\, and we proved this conjecture in 2018. In our new work
\, we remove the assumptions of properness and smoothness of the space\, o
r cocompactness of the action\, thus proving a general central limit theor
em for group actions on hyperbolic spaces. We will see how our techniques
replace the classical thermodynamic formalism and allow us to provide new
applications\, including to lengths of geodesics in geometrically finite m
anifolds and to intersection numbers with submanifolds. Joint work with I.
Gekhtman and S. Taylor.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hong-Kun Zhang (University of Massachusetts Amherst)
DTSTART;VALUE=DATE-TIME:20210115T140000Z
DTEND;VALUE=DATE-TIME:20210115T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/7
DESCRIPTION:Title: Levy diffusion for Lorentz gas with flat points\nby Hong-Kun Zha
ng (University of Massachusetts Amherst) as part of Zoominar in Dynamical
Systems @ Porto\n\n\nAbstract\nWe investigate the diffusion and statistic
al properties of Lorentz gas with cusps at flat points. The underlying d
ynamical systems are modifications of dispersing billiards with cusps.
The systems generate stochastic processes with slow mixing rates of orde
r $n^{-a$}\, for $ a\\in (0\,1)$. We are able to show that these stocha
stic processes enjoy stable law and have super-diffusion driven by Lev
y processes.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jairo Bochi (PUC Santiago de Chile)
DTSTART;VALUE=DATE-TIME:20210122T140000Z
DTEND;VALUE=DATE-TIME:20210122T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/8
DESCRIPTION:Title: Topological emergence\nby Jairo Bochi (PUC Santiago de Chile) as
part of Zoominar in Dynamical Systems @ Porto\n\n\nAbstract\nI will expla
in the notion of topological emergence of a dynamical system\, introduced
by Pierre Berger and myself (2019). Topological emergence is a measurement
of diversity of statistical behavior\, and it is independent of the tradi
tional notions of dynamical complexity\, such as entropy. I will show an u
niversal bound on topological emergence depending on the ambient dimension
\, and I will discuss the problem of computing topological emergence of so
me hyperbolic dynamical systems. I will sketch the proofs.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Cristina Freitas (University of Porto)
DTSTART;VALUE=DATE-TIME:20210129T140000Z
DTEND;VALUE=DATE-TIME:20210129T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/9
DESCRIPTION:Title: The cluster size distribution and the extremal index\nby Ana Cri
stina Freitas (University of Porto) as part of Zoominar in Dynamical Syste
ms @ Porto\n\n\nAbstract\nThe extremal index appears as a parameter in Ext
reme Value Laws for stochastic processes\, characterising the clustering o
f extreme events. We apply this idea in a dynamical systems context to ana
lyse the possible Extreme Value Laws for the stochastic process generated
by observations taken along dynamical orbits. In this context\, the existe
nce of an extremal index less than 1 is associated to the occurrence of pe
riodic phenomena. For generic points\, the exceedances\, in the limit\, ar
e singular and occur at Poisson times. However\, around periodic points\,
the picture is different: the respective point processes of exceedances co
nverge to a compound Poisson process\, so instead of single exceedances\,
we have entire clusters of exceedances occurring at Poisson times with a g
eometric distribution ruling its multiplicity. The extremal index usually
coincides with the reciprocal of the mean of the limiting cluster size dis
tribution. Here\, we build dynamically generated stochastic processes with
an extremal index for which that equality does not hold. The mechanism we
use is based on considering observable functions maximized at at least tw
o points of the phase space\, where one of them is an indifferent periodic
point. For the second point at which the observable function is maximized
we consider either a periodic or a nonperiodic point. We explore two such
examples and\, for each of them\, we compute the extremal index and prese
nt the corresponding cluster size distribution.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eugen Mihailescu (IRMAR)
DTSTART;VALUE=DATE-TIME:20210205T140000Z
DTEND;VALUE=DATE-TIME:20210205T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/10
DESCRIPTION:Title: Dynamics for a class of skew-product endomorphisms and applications
\nby Eugen Mihailescu (IRMAR) as part of Zoominar in Dynamical Systems
@ Porto\n\n\nAbstract\nI will present a new notion of Smale endomorphisms
and the skew-products coded by them. Equilibrium measures are studied for
these piecewise smooth transformations\; their projections are shown to b
e exact dimensional in fibers and globally\, and dimension formulas are ob
tained. This applies to skew-products over EMR maps and natural extensions
. Then we extend the Doeblin-Lenstra Conjecture on Diophantine approximati
on coefficients for a larger class of measures and of irrational numbers.
Another application is to a type of complex continued fractions with compl
ex digits. Based on joint work with M. Urbanski.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Natalia Jurga (University of St Andrews)
DTSTART;VALUE=DATE-TIME:20210212T140000Z
DTEND;VALUE=DATE-TIME:20210212T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/11
DESCRIPTION:Title: Box dimensions of $(\\times m\, \\times n)$ invariant sets\nby
Natalia Jurga (University of St Andrews) as part of Zoominar in Dynamical
Systems @ Porto\n\n\nAbstract\nWe study the box dimensions of sets which a
re invariant under the toral endormorphism $(x\, y) \\mapsto (m x \\mod 1
\, n y \\mod 1)$ for integers $n>m \\geq 2$. This is a fundamental exampl
e of an expanding\, nonconformal dynamical system\, and invariant sets hav
e many subtle properties. The basic examples of such invariant sets are Be
dford-McMullen carpets and\, more generally\, invariant sets are modelled
by subshifts on the associated symbolic space. When this subshift is topol
ogically mixing and sofic\, the situation is well-understood by results of
Kenyon and Peres\, in particular the box dimension satisfies a natural fo
rmula in terms of entropy and the expansion coefficients $m\,n$. In this
talk we will discuss what happens beyond the sofic and mixing case\, which
is partly based on joint work with Jonathan Fraser (St Andrews).\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benoît Kloeckner (Université Paris-Est)
DTSTART;VALUE=DATE-TIME:20210219T140000Z
DTEND;VALUE=DATE-TIME:20210219T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/12
DESCRIPTION:Title: Effective high-temperature estimates ensuring a spectral gap\nb
y Benoît Kloeckner (Université Paris-Est) as part of Zoominar in Dynamic
al Systems @ Porto\n\n\nAbstract\nThe main goal of the talk shall be to ex
plain a few ideas from two classical theories : the thermodynamical formal
ism\, and the perturbation of linear operators. The "thermodynamical forma
lism" is a framework to describe particular invariant measures of dynamica
l systems\, called "equilibrium states"\, parametrized by functions on the
phase space\, called "potentials". This formalism is based on the "transf
er operator"\; when this operator has a spectral gap\, the equilibrium sta
te exists\, is unique\, and has very good statistical properties (exponent
ial mixing\, Central Limit Theorem\, etc.) If one perturbs slightly the po
tential\, the corresponding transfer operator is also perturbed. The class
ical theory of perturbation of operators ensures that the spectral gap pro
perty is an open condition and that under bounded pertubration\, the eigen
data of an operator depends analytically on the perturbation. It turns out
that using the Implicit Function Theorem\, this theory can be made effect
ive with explicit bounds on the size of a neighborhood where the spectral
gap persists. Using this effective perturbation theory\, we show completel
y explicit bound on the potential ensuring the spectral gap property for t
ransfer operators of classical families of dynamical systems.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Federico Rodriguez-Hertz (Pennsylvania State University)
DTSTART;VALUE=DATE-TIME:20210226T140000Z
DTEND;VALUE=DATE-TIME:20210226T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/13
DESCRIPTION:Title: Rigidity for expanding maps\nby Federico Rodriguez-Hertz (Penns
ylvania State University) as part of Zoominar in Dynamical Systems @ Porto
\n\n\nAbstract\nIn this talk I will discuss a plan started joint with A. G
ogolev to find rigidity property in hyperbolic dynamics. This plan focuses
on matching of smooth potentials for different dynamics. I will present a
successful instance of this plan in the setting of expanding maps.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mao Shinoda (Keio University)
DTSTART;VALUE=DATE-TIME:20210305T130000Z
DTEND;VALUE=DATE-TIME:20210305T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/14
DESCRIPTION:Title: Non-convergence of equilibrium states at zero temperature limit
\nby Mao Shinoda (Keio University) as part of Zoominar in Dynamical System
s @ Porto\n\n\nAbstract\nWe construct finite-range interactions on a two d
imensional symbolic dynamical system\, for which the associated equilibriu
m states (i.e.\, the shift-invariant Gibbs states) fail to converge as tem
perature goes to zero. More precisely\, if we pick any one-parameter famil
y of equilibrium states at inverse temperature for this interaction\, then
the limit does not exist. This settles a question posed by Chazottes and
Hochman who obtained such a non-convergence behavior when dimension greate
r than 3.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jerôme Buzzi (Université de Paris-Saclay)
DTSTART;VALUE=DATE-TIME:20210312T140000Z
DTEND;VALUE=DATE-TIME:20210312T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/15
DESCRIPTION:Title: Continuity of Lyapunov exponents for surface diffeomorphisms\nb
y Jerôme Buzzi (Université de Paris-Saclay) as part of Zoominar in Dynam
ical Systems @ Porto\n\n\nAbstract\nIn the setting of smooth surface diffe
omorphisms\, we show that the lower semicontinuity defect of the exponents
bounds that of the entropy. In particular\, Hausdorff dimension is upper
semicontinuous among ergodic invariant probability measures with entropy b
ounded away from zero. We also obtain a new criterion for the existence of
an SRB measure with positive entropy. Joint work with Sylvain CROVISIER a
nd Omri SARIG.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuri Lima (Federal University of Ceará)
DTSTART;VALUE=DATE-TIME:20210319T140000Z
DTEND;VALUE=DATE-TIME:20210319T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/16
DESCRIPTION:Title: Symbolic dynamics for maps with high dimension\nby Yuri Lima (F
ederal University of Ceará) as part of Zoominar in Dynamical Systems @ Po
rto\n\n\nAbstract\nWe construct Markov partitions for non-invertible and/o
r singular nonuniformy hyperbolic systems defined on higher dimensional R
iemannian manifolds. The gen- erality of the setup covers classical exampl
es not treated so far\, such as geodesic flows in closed manifolds\, mult
idimensional billiard maps\, and Viana maps\, as well as includes all the
recent results of the literature. We also provide a wealth of applications
. Joint work with Ermerson Araujo and Mauricio Poletti.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bálasz Bárány (Budapest University of Technology and Economics)
DTSTART;VALUE=DATE-TIME:20210326T140000Z
DTEND;VALUE=DATE-TIME:20210326T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/17
DESCRIPTION:Title: On the convergence rate of the chaos game\nby Bálasz Bárány
(Budapest University of Technology and Economics) as part of Zoominar in D
ynamical Systems @ Porto\n\n\nAbstract\nIn the 1988 textbook "Fractals Eve
rywhere" M. Barnsley introduced an algorithm for generating fractals throu
gh a random procedure which he called the chaos game. In this talk we show
how long it takes the orbit of the chaos game to reach a certain density
inside the attractor of a strictly contracting iterated function system of
which we only assume that its lower dimension is positive. We show that t
he rate of growth of this cover time is determined by the Minkowski dimens
ion of the push-forward of the shift invariant measure with exponential de
cay of correlations driving the chaos game. As an application\, for Bedfor
d-McMullen carpets we completely characterise the family of probability ve
ctors which minimise the Minkowski dimension of Bernoulli measures. Intere
stingly\, these vectors have not appeared in any other aspect of Bedford-M
cMullen carpets before. This is a joint work with Natalia Jurga and Istvá
n Kolossváry.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Carvalho (University of Porto)
DTSTART;VALUE=DATE-TIME:20210409T130000Z
DTEND;VALUE=DATE-TIME:20210409T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/18
DESCRIPTION:Title: Generalized entropy functions\, variational principles and equilibr
ium states\nby Maria Carvalho (University of Porto) as part of Zoomina
r in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gary Froyland (University of New South Wales)
DTSTART;VALUE=DATE-TIME:20210416T090000Z
DTEND;VALUE=DATE-TIME:20210416T100000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/19
DESCRIPTION:Title: Stability and approximation of statistical limit laws\nby Gary
Froyland (University of New South Wales) as part of Zoominar in Dynamical
Systems @ Porto\n\n\nAbstract\nThe unpredictability of chaotic nonlinear d
ynamics leads naturally to statistical descriptions\, including probabilis
tic limit laws such as the central limit theorem and large deviation princ
iple. A key tool in the Nagaev-Guivarc'h spectral method for establishing
statistical limit theorems is a "twisted" transfer operator. We prove stab
ility of the variance in the central limit theorem and the rate function f
rom a large deviation principle with respect to deterministic and stochast
ic perturbations of the dynamics and perturbations induced by numerical sc
hemes. We then apply these results to piecewise expanding maps in one and
multiple dimensions. This theory can be extended to uniformly hyperbolic m
aps and in this setting we develop two new Fourier-analytic methods to pro
vide the first rigorous estimates of the variance and rate function for An
osov maps. This is joint work with Harry Crimmins.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vaughn Climenhaga (University of Houston)
DTSTART;VALUE=DATE-TIME:20210430T130000Z
DTEND;VALUE=DATE-TIME:20210430T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/20
DESCRIPTION:Title: Counting closed geodesics on surfaces without conjugate points\
nby Vaughn Climenhaga (University of Houston) as part of Zoominar in Dynam
ical Systems @ Porto\n\n\nAbstract\nFor negatively curved Riemannian manif
olds\, Margulis gave an asymptotic formula for the number of closed geodes
ics with length below a given threshold. I will describe joint work with G
erhard Knieper and Khadim War in which we obtain the corresponding result
for surfaces without conjugate points by first proving uniqueness of the m
easure of maximal entropy and then following the approach of recent work b
y Russell Ricks\, who established the asymptotic estimates in the setting
of CAT(0) geodesic flows.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Piotr Oprocha (University of Science and Technology\, Krakow)
DTSTART;VALUE=DATE-TIME:20210423T130000Z
DTEND;VALUE=DATE-TIME:20210423T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/21
DESCRIPTION:Title: On the dynamics of Lorenz maps\nby Piotr Oprocha (University of
Science and Technology\, Krakow) as part of Zoominar in Dynamical Systems
@ Porto\n\n\nAbstract\nIn this talk we will present several dynamical pro
perties of expanding Lorenz maps\, which roughly speaking are increasing i
nterval maps with one point of discontinuity. We will put special emphasis
on piecewise linear case: x -> beta x + alpha (mod 1) Among other\, we
will consider such properties as transitivity\, mixing\, renormalizations\
, minimal cycles and proper invariant sets.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Polina Vytnova (University of Warwick)
DTSTART;VALUE=DATE-TIME:20210514T130000Z
DTEND;VALUE=DATE-TIME:20210514T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/22
DESCRIPTION:by Polina Vytnova (University of Warwick) as part of Zoominar
in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tushar Das (University of Wisconsin - La Crosse)
DTSTART;VALUE=DATE-TIME:20210521T130000Z
DTEND;VALUE=DATE-TIME:20210521T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/23
DESCRIPTION:by Tushar Das (University of Wisconsin - La Crosse) as part of
Zoominar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pablo Shmerkin (University of British Columbia)
DTSTART;VALUE=DATE-TIME:20210528T150000Z
DTEND;VALUE=DATE-TIME:20210528T160000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/24
DESCRIPTION:by Pablo Shmerkin (University of British Columbia) as part of
Zoominar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergey Kryzhevich (Saint Petersburg State University)
DTSTART;VALUE=DATE-TIME:20210507T130000Z
DTEND;VALUE=DATE-TIME:20210507T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/25
DESCRIPTION:Title: Interval translation maps\, their invariant measures and their prop
erties\nby Sergey Kryzhevich (Saint Petersburg State University) as pa
rt of Zoominar in Dynamical Systems @ Porto\n\n\nAbstract\nWe study proper
ties of the so-called interval translation maps (ITMs). Informally\, we co
nsider interval exchange maps with overlaps. A survey on the recent develo
pments in this area will be given with some author’s results being menti
oned. For example\, we prove that any ITM admits a Borel probability non-a
tomic invariant measure. We introduce the so-called maximal invariant meas
ure that is the measure supported on the largest possible set. It will be
demonstrated that any ITM\, endowed with this measure\, is isomorphic to a
n interval exchange map. This will imply various corollaries: the estim
ate on the maximal number of non-atomic ergodic invariant measures\, minim
ality if the symbolic model\, unique ergodicity\, ‘closing lemma’\, et
c. Besides\, we discuss the problem of robustness of invariant measures wi
th respect to small perturbations of the parameters of the system. Finall
y\, a real-life model of risk management will be considered. We demonstrat
e that this model can be reduced to an ITM and study the properties of the
obtained map.\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dalia Terhesiu (University of Leiden)
DTSTART;VALUE=DATE-TIME:20210604T130000Z
DTEND;VALUE=DATE-TIME:20210604T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/26
DESCRIPTION:by Dalia Terhesiu (University of Leiden) as part of Zoominar i
n Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victoria Sadovskaya (Penn State University)
DTSTART;VALUE=DATE-TIME:20210611T130000Z
DTEND;VALUE=DATE-TIME:20210611T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/27
DESCRIPTION:by Victoria Sadovskaya (Penn State University) as part of Zoom
inar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vilton Pinheiro (Federal University of Bahia)
DTSTART;VALUE=DATE-TIME:20210618T130000Z
DTEND;VALUE=DATE-TIME:20210618T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/28
DESCRIPTION:by Vilton Pinheiro (Federal University of Bahia) as part of Zo
ominar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Davor Dragičević (University of Rijeka)
DTSTART;VALUE=DATE-TIME:20210702T130000Z
DTEND;VALUE=DATE-TIME:20210702T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/29
DESCRIPTION:by Davor Dragičević (University of Rijeka) as part of Zoomin
ar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rafael Potrie (Universidad de la Republica)
DTSTART;VALUE=DATE-TIME:20210709T130000Z
DTEND;VALUE=DATE-TIME:20210709T140000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/30
DESCRIPTION:by Rafael Potrie (Universidad de la Republica) as part of Zoom
inar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jerôme Rousseau (Federal University of Bahia & University of Port
o)
DTSTART;VALUE=DATE-TIME:20210709T140000Z
DTEND;VALUE=DATE-TIME:20210709T150000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/31
DESCRIPTION:by Jerôme Rousseau (Federal University of Bahia & University
of Porto) as part of Zoominar in Dynamical Systems @ Porto\n\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juan Rivera-Letelier (University of Rochester)
DTSTART;VALUE=DATE-TIME:20210709T150000Z
DTEND;VALUE=DATE-TIME:20210709T160000Z
DTSTAMP;VALUE=DATE-TIME:20210419T100800Z
UID:Zoominar-CMUP/32
DESCRIPTION:by Juan Rivera-Letelier (University of Rochester) as part of Z
oominar in Dynamical Systems @ Porto\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Zoominar-CMUP/32/
END:VEVENT
END:VCALENDAR