Annuncio Seminario Sapienza // Martedì 10 Gennaio // Lorenzo Dello Schiavo
Martedì 10 Gennaio 2023, ore 14:00 Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma *Speaker: *Lorenzo Dello Schiavo (ISTA, Vienna) *Titolo:* Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains *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. Based on joint work arXiv:2112.14196 with Lorenzo Portinale (IAM Bonn) and Federico Sau (ISTA)
Si comunica che il seminario di Lorenzo dello Schiavo (Martedì 10 Gennaio, ore 14:00, Sapienza Università di Roma) verrà trasmesso su Zoom al seguente link: https://uniroma1.zoom.us/j/84073069369 Martedì 10 Gennaio, 14:00 Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma *Speaker: *Lorenzo Dello Schiavo (ISTA, Vienna) *Titolo:* Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains *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. Based on joint work arXiv:2112.14196 with Lorenzo Portinale (IAM Bonn) and Federico Sau (ISTA) On Tue, Jan 3, 2023 at 9:40 AM Lorenzo Taggi <lorenzo.taggi@gmail.com> wrote:
Martedì 10 Gennaio 2023, ore 14:00 Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
*Speaker: *Lorenzo Dello Schiavo (ISTA, Vienna)
*Titolo:* Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains
*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. Based on joint work arXiv:2112.14196 with Lorenzo Portinale (IAM Bonn) and Federico Sau (ISTA)
participants (1)
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Lorenzo Taggi