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BEGIN:VEVENT
SUMMARY:Hydrodynamics and non-equilibrium stationary states for diffusive
systems of conversation laws
DTSTART;VALUE=DATE-TIME:20190409T124000Z
DTEND;VALUE=DATE-TIME:20190409T133000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3662@indico.math.cnrs.fr
DESCRIPTION:Speakers: Stefano Olla ()\nWe consider one dimensional dynamic
s of interacting particles that have more conserved quantities that evolve
macroscopically in the same diffusive time scale\, and their macroscopic
evolution is governed by a system of coupled diffusive equations. Their no
n-equilibrium stationary states\, driven by heat bath and external forces\
, present interesting phenomena like up-hill diffusion\, negative linear r
esponse\, internal eternalizations (non-monotous temperature profiles). On
e example is given by the chain of coupled rotors. That conserves the ener
gy and the angular momentum. Mathematical rigorous results can be obtained
in harmonic chains of oscillators perturbed by noise that have more than
one conservation laws. there are some common universal features due tothe
transformation of mechanical work into thermal energy done by the bulk dyn
amics. Works in collaborations with Tomasz Komorowski\, Marielle Simon\, A
lessandra Iacobucci\, Gabriel Stoltz\n\nhttps://indico.math.cnrs.fr/event/
4251/contributions/3662/
LOCATION:
URL:https://indico.math.cnrs.fr/event/4251/contributions/3662/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chaos propagation for balls into bins dynamics.
DTSTART;VALUE=DATE-TIME:20190409T115000Z
DTEND;VALUE=DATE-TIME:20190409T124000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3666@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nicoletta Cancrini ()\nWe consider $N$ balls and $L
$ bins. Initially the balls are randomly placed into the bins. At each tim
e a ball is taken from every non empty bin. Then all the drawn balls are p
laced into the bins according to a definite law. The evolution is a Markov
chain. The model is an interacting particle system with parallel updating
so it is not reversible. We give conditions under which propagation of ch
aos holds and present three applications.\n\nhttps://indico.math.cnrs.fr/e
vent/4251/contributions/3666/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3666/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random walk in a non-integrable random scenery time.
DTSTART;VALUE=DATE-TIME:20190410T121000Z
DTEND;VALUE=DATE-TIME:20190410T130000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3664@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alessandra Bianchi ()\nIn this talk we consider a on
e-dimensional process in random\nenvironment\, also known in the physical
literature as Levy-Lorentz gas. The environment is provided by a renewal
point process that can be seen as a set of randomly arranged targets\, w
hile the process roughly describes the displacement\nof a particle moving
on the line at constant velocity\, and changing direction at the targets p
osition with assigned probability.\nWe investigate the annealed behavior o
f this process in the case of inter-distances between targets having infin
ite mean\, and establish\, under suitable scaling\, a functional limit th
eorem for the process. In particular we show that\, contrary to the finite
mean case\, the behavior of the motion is super- diffusive with explicit
scaling limit related to the Kesten-Spitzer process.\nThe key element of t
he proof is indeed a representation of the consecutive "hitting times on
the set of targets" as a suitable random walk in random scenery.\n\nhttps
://indico.math.cnrs.fr/event/4251/contributions/3664/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3664/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hydrodynamic limit for a facilitated exclusion process.
DTSTART;VALUE=DATE-TIME:20190409T075000Z
DTEND;VALUE=DATE-TIME:20190409T084000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3665@indico.math.cnrs.fr
DESCRIPTION:Speakers: Oriane Blondel ()\nWe show a hydrodynamic limit for
the exclusion process on $\\mathbb Z$ in which a particle can jump to the
right only if it has a particle to its left and vice-versa. This process
has an active/inactive phase transition at density $\\frac{1}{2}.\n Joint
work with Cément Erignoux\, Makiko Sasada and Marielle Simon.\n\nhttps://
indico.math.cnrs.fr/event/4251/contributions/3665/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3665/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Microscopic stochastic particle models for Fick and Fokker- Planck
diffusion equations
DTSTART;VALUE=DATE-TIME:20190410T070000Z
DTEND;VALUE=DATE-TIME:20190410T075000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3667@indico.math.cnrs.fr
DESCRIPTION:Speakers: Emilio Cirillo ()\nDiffusion in not homogeneous med
ia can be described both by the Fick and the Fokker-Planck diffusion equat
ion. The question whether one of the two description has to be considered
the correct one is often debated in the scientific literature. Using a mic
roscopic approach\, we show that both the descriptions are reasonable and
that they correspond to different realizations of spatial inhomogeneities.
\nThis work is in collaboration with D. Andreucci (Roma)\, M. Colangeli (
L'Aquila)\, and D. Gabrielli (L'Aquila).\n\nhttps://indico.math.cnrs.fr/ev
ent/4251/contributions/3667/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3667/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Time scales in some large population birth and death processes\, q
uasi stationary distribution and resilience.
DTSTART;VALUE=DATE-TIME:20190409T135000Z
DTEND;VALUE=DATE-TIME:20190409T144000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3668@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pierre Collet ()\nWith S.Meleard and J.-R.Chazottes
we consider a birth and death process with one or several species dependi
ng on a (large) parameter giving the scale of the populations sizes. Assum
ing there is a unique globally attracting nontrivial fixed point for the r
escaled infinite population dynamical system\, we investigate (under some
hypothesis) the time scale of global extinction and the existence and time
scale of convergence to a quasi stationary distribution (q.s.d.). Togethe
r with S.Martinez we apply these results using micro-macro relations to re
cover the engineering resilience from the fluctuations of a sample of the
process.\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3668/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3668/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gibbs states for (long-range) Ising models.
DTSTART;VALUE=DATE-TIME:20190408T095000Z
DTEND;VALUE=DATE-TIME:20190408T104000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3669@indico.math.cnrs.fr
DESCRIPTION:Speakers: Loren Coquille ()\nI will review old and present ne
w results on standard and long-range Ising models in dimension $1$\, $2$ a
nd $3$. I shall focus on fluctuations or rigidity of interfaces at low tem
perature\, in the coexistence regime. \nBased on works in collaboration wi
th Y. Velenik (Geneva) on one hand\, and A. van Enter (Groningen)\, A. Le
Ny (Paris) and W. Ruszel (Delft) on the other hand.\n\nhttps://indico.math
.cnrs.fr/event/4251/contributions/3669/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3669/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fick's law with phase transitions.
DTSTART;VALUE=DATE-TIME:20190409T095000Z
DTEND;VALUE=DATE-TIME:20190409T104000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3670@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anna De Masi ()\nThe context is the Fick's law wher
e a stationary current flows in a system driven by the boundaries which ar
e put in contact with suitable reservoirs. This is a much studied problem
but only recently together with Olla and Presutti I have obtained results
in models with phase transition I will present these models where the st
ationary non equilibrium distribution is known explicitly and exploit thi
s to compare the stationary fluctuations of the interface in this case whe
re a non zero current is present\, with those at thermal equilibrium.\n\nh
ttps://indico.math.cnrs.fr/event/4251/contributions/3670/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3670/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elliptic dimers and genus $1$ Harnack curves.
DTSTART;VALUE=DATE-TIME:20190408T135000Z
DTEND;VALUE=DATE-TIME:20190408T144000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3671@indico.math.cnrs.fr
DESCRIPTION:Speakers: Béatrice de Tilière ()\nhttps://indico.math.cnrs.
fr/event/4251/contributions/3671/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3671/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic homogenization in amorphous media and applications to M
ott variable range hopping.
DTSTART;VALUE=DATE-TIME:20190410T090000Z
DTEND;VALUE=DATE-TIME:20190410T095000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3672@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alessandra Faggionato ()\nBy extending the method o
f 2-scale convergence we prove an homogenization theorem of difference o
perators given by Markov generators of random walks on random marked sim
ple point processes with symmetric jump rates. Using this theorem\, we der
ive two further results: (i) the hydrodynamic limit of the exclusion proc
ess given by multiple random walks with hard-core interaction\; (ii) t
he a.s. convergence of the rescaled conductivity matrix of the Miller-Abr
ahams resistor network to the diffusion matrix of Mott random walk. The
second result is related to Mott variable range hopping\, which is a funda
mental mechanism of phonon-induced electron conduction in amorphous solid
s given by strongly disordered solids as doped semiconductors.\n\nhttps://
indico.math.cnrs.fr/event/4251/contributions/3672/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3672/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wetting\, disordered pinning and layering for discrete random inte
rfaces
DTSTART;VALUE=DATE-TIME:20190408T121000Z
DTEND;VALUE=DATE-TIME:20190408T130000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3673@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hubert Lacoin ()\nSolid-on-Solid (SOS) is a simpli
fied surface model which has been introduced to understand the behavior of
Ising interfaces in $\\mathbb Z^d$ at low temperature. The simplification
is obtained by considering that the interface is a graph of a function $\
\phi$\, $\\mathbb Z^{d-1} \\to \\mathbb Z$. In the present talk\, we study
the behavior of SOS surfaces in $\\mathbb Z^2$ constrained to remain posi
tive\, and interacting with a potential when touching zero\, corresponding
to the energy functional: $$V(\\phi)=\\beta \\sum_{x\\sim y}|\\phi(x)-\\p
hi(y)|-\\sum_{x}\\left( h\\ind_{\\{\\phi(x)=0\\}}-\\infty\\ind_{\\{\\phi(x
)=0\\}} \\right).$$ We show that if $\\beta$ is small enough\, the system
undergoes a transition from a localized phase where there is a positive fr
action of contact with the wall to a delicalized one for $$h_w(\\beta)= \\
log \\left(\\frac{e^{4\\beta}}{e^{4\\beta}-1}\\right).$$ In addition by st
uding the free energy\, we prove that the system undergoes countably many
layering transitions\, where the typical height of the interface jumps bet
ween consecutive integer values. We also discuss the case of the disordere
d model without positivity constraint.\n\nhttps://indico.math.cnrs.fr/even
t/4251/contributions/3673/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3673/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Discrete Non Linear Schroedinger Equation: an example of inequ
ivalence between statistical ensembles.
DTSTART;VALUE=DATE-TIME:20190410T130000Z
DTEND;VALUE=DATE-TIME:20190410T135000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3674@indico.math.cnrs.fr
DESCRIPTION:Speakers: Roberto Livi ()\nThe dynamics of the DNLSE is chara
cterized by peculiar featuresin the region of parameter space above the li
ne at infinite temperature:the deterministic version exhibits multi-breath
er states\,\nlasting over astronomical times\, while the stochastic (conse
rvative)\nevolution yields a coarsening dynamics to an infinite temperatur
e\nlattice\, with a superimposed giant breather collecting a finite fracti
onof the total energy. The statistical mechanics of this model can be natu
rally described and explicitly computed in the microcanonical ensemble and
allows us to conclude that the multi breather state\, observed in the det
erministic evolution\, is a genuine equilibrium state at negative temperat
ure. We also show that in this region there is no ensemble equivalence wit
h the grand-canonical ensemble and\, moreover\, that the infinite temperat
ure line is also the boundary of a first order phase transition between a
thermalized (low-energy) phase and a condensed (high-energy) phase. Furthe
r details about the presence of a spinodal line\, the features of the orde
r parameter and the non-extensivity of the condensed phase will be also di
scussed.\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3674/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3674/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Statistical forces and stabilization out-of-equilibrium.
DTSTART;VALUE=DATE-TIME:20190410T075000Z
DTEND;VALUE=DATE-TIME:20190410T084000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3675@indico.math.cnrs.fr
DESCRIPTION:Speakers: Christian Maes ()\nWe discuss the nature of induced
forces on a probe coupled to a nonequilibrium medium. We show how stabi
lization of fixed points may be achieved because of nonequilibirum effects
.\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3675/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3675/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Universality for Kinetically Constrained Spin Models.
DTSTART;VALUE=DATE-TIME:20190409T070000Z
DTEND;VALUE=DATE-TIME:20190409T075000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3676@indico.math.cnrs.fr
DESCRIPTION:Speakers: Fabio Martinelli ()\nKinetically constrained models
(KCM) are reversible interacting particle systems with continuous time Ma
rkov dynamics of Glauber type\, which have been extensively used in the ph
ysics literature to model the liquid-glass transition\, a major and longst
anding open problem in condensed matter physics. They also represent a nat
ural stochastic (and non-monotone) counterpart of the family of cellular a
utomata known as $\\cal U$-bootstrap percolation thoroughly analyzed by P.
Balister\, B.Bollobas\, H. Duminil-Copin\, R. Morris\, P. Smith and A. Uz
zell. I shall present a series of universality results for the mean infect
ion time of the origin for KCM\, which have been obtained in various colla
borations with C. Toninelli\, L. Mareche'\, I. Hartarski and R. Morris.\n\
nhttps://indico.math.cnrs.fr/event/4251/contributions/3676/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3676/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Glassy states of the Ising model on trees and Lobachevsky plane.
DTSTART;VALUE=DATE-TIME:20190410T095000Z
DTEND;VALUE=DATE-TIME:20190410T104000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3677@indico.math.cnrs.fr
DESCRIPTION:Speakers: Senya Shlosman ()\nI will explain that on trees and
on Lobachevsky\, the Ising model has a huge continuum of extremal states.
As a result\, the free state of the Ising model below the spin-glass tem
perature has a structure of a spin-glass state: it is a mixture of contin
uum many extremal states.\nJoint work with D. Gandolfo\, Ch. Maes\, and J.
Ruiz.\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3677/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3677/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shaken dynamics for 2d Ising model.
DTSTART;VALUE=DATE-TIME:20190408T130000Z
DTEND;VALUE=DATE-TIME:20190408T135000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3678@indico.math.cnrs.fr
DESCRIPTION:Speakers: Elisabetta Scoppola ()\nWe define a random dynamics
which is a composition of two steps of parallel updating with interaction
in opposite directions. The invariant measure of this dynamics turns out
to be the marginal of the Gibbs measure of an Ising model on hexagonal gra
phs. The shaken dynamics can be applied to study the effect of earth tides
on earthquakes.\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3
678/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3678/
END:VEVENT
BEGIN:VEVENT
SUMMARY:One-sided versus two-sided dependence.
DTSTART;VALUE=DATE-TIME:20190408T090000Z
DTEND;VALUE=DATE-TIME:20190408T095000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3679@indico.math.cnrs.fr
DESCRIPTION:Speakers: Aernout van Enter ()\nStochastic systems can be par
ametrised by time (like Markov chains)\,in which conditioning is one-sided
(the past)or by one-dimensional space (like Markov fields)\, where condit
ioning is two-sided (right and left).I will discuss some examples\, in par
ticular generalising this to g-measures versus Gibbs measures\, where\, in
stead of a Markovian dependence\, the weaker property of continuity (in th
e product topology) is required. In particular I will discuss when the two
descriptions (one-sided or two-sided) produce the same objects and when t
hey are different.We show moreover the role one-dimensional entropic repul
sion plays in this setting.\nJoint work with R. Bissacot\, E. Endo and A.
Le Ny\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3679/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3679/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kinetically constrained models in random environments
DTSTART;VALUE=DATE-TIME:20190409T090000Z
DTEND;VALUE=DATE-TIME:20190409T095000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3680@indico.math.cnrs.fr
DESCRIPTION:Speakers: Assaf Shapira ()\nKinetically constrained models ar
e a family of interacting particle \nsystems used by physicists in order
to study the liquid-glass \ntransition. They are characterized by a very
simple non-interacting equilibrium\, but their dynamics is slowed down by
local kinetic constraints\, leading to highly non-trivial behavior of ti
me scales. We will discuss these time scales when adding quenched disorde
r to the system\, focusing on one example of a model on the two dimension
al lattice with random constraints.\n\nhttps://indico.math.cnrs.fr/event/
4251/contributions/3680/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3680/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction
DTSTART;VALUE=DATE-TIME:20190408T084000Z
DTEND;VALUE=DATE-TIME:20190408T090000Z
DTSTAMP;VALUE=DATE-TIME:20210511T124341Z
UID:indico-contribution-4251-3703@indico.math.cnrs.fr
DESCRIPTION:Speakers: François Dunlop ()\nhttps://indico.math.cnrs.fr/eve
nt/4251/contributions/3703/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3703/
END:VEVENT
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