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A list of past seminars is avalaible here
List of upcoming seminars
List of upcoming seminars
Our seminars are scheduled on Monday, at 2.30 pm (Italian time), unless specified. For the list of upcoming seminars, expand the menu ticking on the arrow.
October 21th Monday, 2024 - h 14.30 at Sala seminari del blocco zero (DISIM, UnivAq). - Franco Flandoli (Scuola Normale Superiore )
Title: "Reducing stochastic models in Climate, fluctuating Hydrodynamics and turbulent transport ",
The seminar will be held at the Sala seminari del blocco zero (DISIM, UnivAq).
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "Statistical properties of dynamical systems: a functional analytic approach",
Roberto Castorrin (Scuola Normale di Pisa)
The seminar will be held at the GSSI Main Lecture Hall
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "Large deviations for binary collision models ",
Giada Basile (La Sapienza- Roma)
The seminar will be held at the GSSI Main Lecture Hall
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: " New perspectives in zero range interactions quantum physics"
Rodolfo Figari (Gran Sasso Science Institute)
The seminar will be held at the GSSI Main Lecture Hall
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "A criterion for crystallization in hard-core lattice particle systems "
Ian Jauslin (Rutgers University)
The seminar will be held at the GSSI Main Lecture Hall
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "A Short Proof of Bose-Einstein Condensation for Ultra-Dilute Bose Gases "
Christian Brennecke (University of Bonn)
The seminar will be held at the GSSI Library
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "A Short Proof of Bose-Einstein Condensation for Ultra-Dilute Bose Gases "
The seminar will be held at the GSSI MHL
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "Vector-valued ferromagnetic spin models in random external fields"
The seminar will be held at the GSSI MHL
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "Equilibrium perturbation and incompressible limit for exclusion processes coupled through collision"
The seminar will be held at the Sala Seminari del blocco zero (DISIM, UnivAq)
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "Metastable behaviour of the two-dimensional Kawasaki dynamics in large volumes at low temperature and low density "
The seminar will be held at the GSSI Library (Please note the unusual time )
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Title: "Longitudinal conductivity at integer quantum Hall transitions"
The seminar will be held at the GSSI Library (Please note the unusual time )
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
(via Crispi 7)
Title: "Cumulant hierarchies in kinetic theory — the case of the stochastic Kac model"
The seminar will be held at the GSSI Main Lecture Hall
and will also be streamed through Zoom at the link:
https://gssi-it.zoom.us/j/87571297606?pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
"Cumulant hierarchies in kinetic theory — the case of the stochastic Kac model"
Date: June 30th (Monday) at 14.30 pm.
on site: at the GSSI Main Lecture Hall (Viale Crispi 7)
zoom: https://gssi-it.zoom.us/j/87571297606pwd=kP2blVizaMrebCFuueRcnRsMpAJ5sA.1
ID riunione: 875 7129 7606
Passcode: SMAQ2425
Abstract
Abstract
In this talk, we discuss how chaos -- in the sense of near independence of the relevant random variables -- can be studied via the smallness of relevant joint cumulants. Focusing on the stochastic Kac model model for velocity exchange of a system of $N$ particles, we quantify the notion of chaos in terms of weighted norms on the space of joint cumulants of the energy variables. The time-evolution of the joint cumulants in such spaces demonstrate how chaos is generated or propagated in the system. Known spectral gap results imply that typical initial densities converge to uniform distribution on the energy sphere at a time which has order of $N$ expected collisions. We prove that the finite order cumulants become small and converge to their small stationary values much faster, already at a time scale of order 1 or log(N) collisions. The proof relies on stability analysis of the closed, nonlinear hierarchy of energy cumulants around the fixed point formed by their values in the stationary spherical distribution. In addition, we describe the accuracy of the Boltzmann--Kac kinetic equation after the onset of chaos in the system.
Based on joint work with Jani Lukkarinen.
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