Seminars

A list of past seminars is avalaible here:  

List of upcoming seminars

Our seminars are scheduled on Monday, at 5.30 pm (Italian time), unless specified. For the list of upcoming seminars, expand the menu ticking on the arrow. 

Title:  Ergodic properties of a stochastic model for geophysical fluid dynamics

Room C.1.16, Coppito 2, Univaq ( via Vetoio 1 )

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Title:  Ground state energy of dilute Bose gases in 1D


Main Lecture Hall, ex-isef GSSI

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Title:  Stability and singular limits in plasma physics 

Auditorium, GSSI

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Title:  Convergence of a simple two scales dynamics

Sala seminari del blocco zero (DISIM, Univaq) 

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Title:   Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains 

Main Lecture Hall of the GSSI building in Viale Crispi 7

Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains     

   

Date:   February 20th, 2023, at 14:30 (Italian time)


The seminar will be held in presence  and streamed through zoom:


onsite:  Main Lecture Hall of the GSSI building in Viale Crispi 7 (ex-isef) 

zoom:  The seminar will be also streamed through zoom at the link

https://zoom.us/j/87571297606pwd=bGY1ZGxpd2Y0THBEdG53Zmt3MVZ1UT09GY1ZGxpd2Y0THBEdG53Zmt3MVZ1UT09


ID riunione: 875 7129 7606

Passcode: SMAQ2223 


Abstract

We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain Ω, with both fast and slow boundary. For the random walks on Ω dual to SEP/SIP we establish a functional-CLT-type convergence to the Brownian motion on Ω with either Neumann (slow boundary), Dirichlet (fast boundary), or Robin (at criticality) boundary conditions. We further show the discrete-to-continuum convergence of the corresponding harmonic profiles. As a consequence, we rigorously derive the hydrodynamic and hydrostatic limits for SEP/SIP on Ω, and analyze their stationary non-equilibrium fluctuations.

arXiv:2112.14196, joint work with Lorenzo Portinale (IAM Bonn) and Federico Sau (Trieste)