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BEGIN:VEVENT
SUMMARY:Henk Bruin\, Olga Lukina (University of Vienna)
DTSTART:20210209T130000Z
DTEND:20210209T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/1
DESCRIPTION:Title: Rotated Odometers\nby Henk Bruin\, Olga Lukina (University of V
ienna) as part of Dobrushin Mathematics Laboratory Seminar\n\n\nAbstract\n
We consider infinite interval exchange transformations (IETs) obtained \na
s a composition of a finite IET and the von Neumann-Kakutani map\, \ncalle
d rotated odometers\, and study their dynamical and ergodic \nproperties b
y means of an associated Bratteli-Vershik system. \nWe show that every rot
ated odometer is measurably isomorphic to \nthe first return map of a rati
onal parallel flow on a translation \nsurface of finite area with infinite
genus and a finite number of \nends\, with respect to the Lebesgue measur
e. This is one motivation \nfor the study of rotated odometers. We also pr
ove a few results \nabout the factors of the unique aperiodic minimal subs
ystem of a \nrotated odometer.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlangelo Liverani (University of Roma)
DTSTART:20210223T130000Z
DTEND:20210223T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/2
DESCRIPTION:Title: Locating Ruelle resonances\nby Carlangelo Liverani (University
of Roma) as part of Dobrushin Mathematics Laboratory Seminar\n\n\nAbstract
\nRuelle resonances can be expressed either in terms of the Laplace \ntran
sform of the correlation functions or as point spectrum of the \nRuelle Tr
ansfer operator. While the first point of view is closer \nto what can be
measured observing the system\, the latter is much \nmore efficient for th
e mathematical investigation. Unfortunately\, \nthere are no general techn
iques to identify precisely the point \nspectrum. I will present an approa
ch that can provide some \ninformation and can be applied in a variety of
hyperbolic \ndynamical systems. The approach is not really new\, as traces
of \nit can be found already in Ruelle's original work\, yet it appears \
nthat it was never explored or presented systematically.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Evgeny Verbitskiy (University of Leiden)
DTSTART:20210302T130000Z
DTEND:20210302T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/3
DESCRIPTION:Title: Absolutely continuous invariant measures for random dynamical syste
ms\nby Evgeny Verbitskiy (University of Leiden) as part of Dobrushin M
athematics Laboratory Seminar\n\n\nAbstract\nI will give an overview of tw
o recent results on the existence of\nabsolutely continuous invariant meas
ures (acim) for random \ninterval transformations\, comprising of 'good' (
hyperbolic) and \n'bad' (non-hyperbolic) maps.\nIt turns out that even in
the case when a random dynamical system \nadmits a finite acim\, i.e.\, wh
en the good guys win\, the density \nof the invariant measure is less smoo
th than in a purely hyperbolic \ncase. For example\, the random mixture of
the Gauss and Renyi \ncontinued fractions maps has a very smooth\, but no
t real-analytic\, \ninvariant density.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conference
DTSTART:20210309T080000Z
DTEND:20210309T160000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/4
DESCRIPTION:Title: International online conference dedicated to the anniversary of R.A
. Minlos\nby Conference as part of Dobrushin Mathematics Laboratory Se
minar\n\n\nAbstract\nInternational online conference dedicated to the anni
versary of R.A. Minlos. \nThe conference will consist of two sessions - mo
rning (from 11:00 Moscow time)\nand evening (from 15:00 Moscow time).\nFor
complete information on the conference with program and Zoom link\, see\n
http://iitp.ru/ru/userpages/74/285.htm\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuri Kondratiev (University of Bielefeld)
DTSTART:20210323T130000Z
DTEND:20210323T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/5
DESCRIPTION:Title: Random time dynamical systems\nby Yuri Kondratiev (University o
f Bielefeld) as part of Dobrushin Mathematics Laboratory Seminar\n\n\nAbst
ract\nWe consider two types of random time dynamics: \n- Markov processes
in random time\, \n- Random time dynamical systems. \nIn both cases we ar
e interested in the long time asymptotics \nfor related evolution equation
s and\, especially\, in the effects \nof random time changes.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Blank (IITP RAS)
DTSTART:20210330T130000Z
DTEND:20210330T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/6
DESCRIPTION:Title: Dynamics of piecewise isometries of the torus\nby Michael Blank
(IITP RAS) as part of Dobrushin Mathematics Laboratory Seminar\n\n\nAbstr
act\nBy now\, we have learned reasonably well how to study hyperbolic \n(l
ocally expanding/contracting or both) chaotic dynamical systems\, \nthanks
to a large extent to the development of the so called \noperator approach
. Contrary to this almost nothing is known about \npiecewise isometries\,
except for a special case of one-dimensional \ninterval exchange mappings.
The last case is fundamentally different \nfrom the general situation in
the obvious presence of an invariant \nmeasure (Lebesgue measure)\, which
helps a lot in the analysis. \nWe will show that already the restriction o
f the rotation of the \nplane to a torus demonstrates a number of rather u
nexpected properties.\nOur main results give sufficient conditions for the
existence/absence \nof invariant measures of general piecewise isometries
of the torus. \nThe analysis of simple ergodic properties of these measur
es is also carried out.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:B.M. Gurevich (IITP & MSU)
DTSTART:20210413T130000Z
DTEND:20210413T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/7
DESCRIPTION:Title: On sequences of equilibrium measures corresponding to finite subgra
phs of an infinite loaded graph\nby B.M. Gurevich (IITP & MSU) as part
of Dobrushin Mathematics Laboratory Seminar\n\n\nAbstract\nВ докла
де будет рассказано о до конца еще не реш
енной задаче\, относящейся \nк термодинам
ическому формализму для символических ц
епей Маркова. \nРечь пойдет о понятии рав
новесной меры m\, т.е. вероятностной мере
на \nфазовом пространстве динамической с
истемы\, максимизирующей разность между\
nметрической энтропией этой системы и ин
тегралом от функции f. В нашем \nслучае ди
намическая система - это сдвиг в простра
нстве последовательностей\, \nсостоящем
из путей счетного ориентированного граф
а G\, а f зависит лишь \nот конечного числа
элементов последовательности. Мы выясни
м\, условия \nсуществования m (если G связе
н\, она единственна) и проанализируем слу
чай \nконечного связного подграфа графа G
\, когда этот подграф в естественном \nсмы
сле возрастает и стремится ко всему G.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergey Foss (NSU & Heriot-Watt Uni)
DTSTART:20210420T130000Z
DTEND:20210420T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/8
DESCRIPTION:Title: Longest and heaviest paths in barak-erdos directed random graphs an
d related models\nby Sergey Foss (NSU & Heriot-Watt Uni) as part of Do
brushin Mathematics Laboratory Seminar\n\n\nAbstract\nWe analyse asymptoti
c properties (SLLN\, FCLT\, etc.) of paths of maximal length \nin a class
of acyclic directed random graphs. For that\, we need an auxiliary \ninfin
ite bin model. Next\, we introduce a perfect simulation algorithm for \nes
timating the growth rate of maximal paths. \nThen we consider some general
izations of the model (edges have random \nweights\, complete ordering is
replaced by partial one\, etc.)\nIn a particular case of a parametric fami
ly of two-point distributions\, \nwe discuss amusing properties of (non)di
fferentiability of the growth \nrate w.r. to the parameter. If time allows
\, we show how do Poisson forest\, \nTracy-Widom distribution and further
exotics do appear in this setting.\nThis is a joint work with Takis Konsta
ntopoulos and several other authors.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrey Pyatnitsky (IITP RAS)
DTSTART:20210518T130000Z
DTEND:20210518T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/9
DESCRIPTION:Title: Energy averaging on a two-dimensional Poisson point process\nby
Andrey Pyatnitsky (IITP RAS) as part of Dobrushin Mathematics Laboratory
Seminar\n\n\nAbstract\nРассматривается модель Изи
нга при нулевой температуре на пуассоно
вском \nточечном процессе на плоскости. П
ри естественной нормировке изучаем \nаси
мптотические свойства последовательнос
тей функций конечной энергии.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conference in the honour of the 75th anniversary of Alexander I. K
omech (IITP RAS)
DTSTART:20210525T130000Z
DTEND:20210525T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/10
DESCRIPTION:Title: Conference in the honour of the 75th anniversary of Alexander I. K
omech\nby Conference in the honour of the 75th anniversary of Alexande
r I. Komech (IITP RAS) as part of Dobrushin Mathematics Laboratory Seminar
\n\n\nAbstract\nConference in the honour of the 75th anniversary of Alexan
der I. Komech\n\n16:00 Aleksei Ilyin (Keldysh Inst. of Applied Mathematics
): Two-sided dimension estimates of the attractor of the damped driven
Euler–Bardina equations in two and three dimensions\n17:00 Sergei Kuksin
(Inst. Math. de Jussieu): The K41 theory of turbulence and its rigorous o
ne-dimensional model\n18:15 Alexander Shnirelman (Concordia Uni): Soliton
asymptotics in hydrodynamics.\n\nSee details at: http://comech.sdf.org/ev
ents/du-2021/\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francois Baccelli (UT Austin and INRIA)
DTSTART:20210601T130000Z
DTEND:20210601T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/11
DESCRIPTION:Title: Replica-mean-field limits for intensity-based neural networks\
nby Francois Baccelli (UT Austin and INRIA) as part of Dobrushin Mathemati
cs Laboratory Seminar\n\n\nAbstract\nDue to the inherent complexity of neu
ral models\, relating the spiking \nactivity of a network to its structure
requires simplifying assumptions\, \nsuch as considering models in the th
ermodynamic mean-field limit. \nIn this limit\, an infinite number of neur
ons interact via vanishingly \nsmall interactions\, thereby erasing the fi
nite size geometry of interactions. \nTo better capture the geometry in qu
estion\, we analyze the activity of \nneural networks in the replica-mean-
field limit regime. Such models are made \nof infinitely many replicas whi
ch interact according to the same basic \nstructure as that of the finite
network of interest. Our main contribution \nis an analytical characteriza
tion of the stationary dynamics of intensity-based \nneural networks with
spiking reset and heterogeneous excitatory synapses in \nthis replica-mean
-field limit. Specifically\, we functionally characterize \nthe stationary
dynamics of these limit networks via ordinary or partial \ndifferential e
quations derived from the Poisson Hypothesis of queuing theory. \nWe then
reduce this functional characterization to a system of self-consistency \n
equations specifying the stationary neuronal firing rates. \nJoint work wi
th T. Taillefumier.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oleg Musin (IITP RAS)
DTSTART:20210608T130000Z
DTEND:20210608T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/12
DESCRIPTION:Title: Circle packings on a sphere\, contact graphs\, and Steiner-Soddy-t
ype theorems\nby Oleg Musin (IITP RAS) as part of Dobrushin Mathematic
s Laboratory Seminar\n\n\nAbstract\nВ докладе будет расс
казано о связи между упаковками шаров в n
-мерном пространстве\, \nкоторые касаются
заданного семейства шаров\, и сферическ
ими кодами. Эта связь \nпозволяет обобщит
ь классические теоремы Штейнера и Содди
о цепочках кругов \nи шаров. В размерност
ях 3 и 4\, таким упаковкам шаров соответст
вуют 3-сферические \nкоды\, то есть упаков
ки сферических шапочек на сфере. Этот сл
учай будет рассмотрен \nболее детально и
показано как классификация контактных г
рафов приводит к новым \nрезультатам о сф
ерических упаковках.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrey Dymov (IMRAS\, HSE)
DTSTART:20210622T130000Z
DTEND:20210622T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/13
DESCRIPTION:Title: On the Zakharov-Lvov stochastic model of wave turbulence\nby A
ndrey Dymov (IMRAS\, HSE) as part of Dobrushin Mathematics Laboratory Semi
nar\n\n\nAbstract\nТеория волновой турбулентнос
ти (ВТ) была создана в 1960х годах В.Е. Захар
овым \nи его школой как эвристический мет
од для изучения малоамплитудных решений
\nнелинейных гамильтоновых УрЧП с перио
дическими граничными условиями большог
о \nпериода L>>1. С тех пор ВТ интенсивно ра
звивается в физических работах\, однако \
nматематические результаты\, посвященны
е обоснованию теории\, начали появляться
\nтолько в последнее время.\nОсновная зад
ача ВТ — изучение поведения одной из гла
вных характеристик решения \nуравнения\,
называемой энергетическим спектром\, в п
ределе период L -> \\infty\, \nамплитуда решени
я \\nu -> 0. \nЯ расскажу о своих совместных р
аботах с С.Б. Куксиным\, A.Maiocchi и С.Г. Влэду
цем\, \nв которых мы изучаем две противопо
ложные последовательности пределов в дл
я \nнелинейного уравнения Шредингера\, по
дверженного действию слабых случайного
\nвозмущения и вязкости. Полученные резу
льтаты отличается от предсказанного ран
ее \nв физических работах.\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuri Suhov (Penn State University)
DTSTART:20210914T130000Z
DTEND:20210914T150000Z
DTSTAMP:20260422T225656Z
UID:DobMathSeminar/14
DESCRIPTION:Title: Hard spheres on $Z^3$: Kepler's conjecture on a lattice and high-d
ensity Gibbs measures\nby Yuri Suhov (Penn State University) as part o
f Dobrushin Mathematics Laboratory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/DobMathSeminar/14/
END:VEVENT
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