Seminario di Claudio Landim alla Sapienza
Buongiorno, Claudio Landim (IMPA, Rio de Janeiro) farà un seminario Martedi' 15 Settembre alle ore 14.00 in Sala di Consiglio del Dipartimento di Matematica G. Castelnuovo alla Sapienza. Sotto titolo e abstract Saluti Alessandra Titolo: Non-equilibrium fluctuations of gradient exclusion processes in dimension [image: d\leq 3] Abstract: We consider a gradient, speed-change, symmetric exclusion process on the discrete torus [image: \mathbb{T}^d_n], [image: d\le 3], whose empirical measure evolves, on the diffusive scale, according to a non-linear parabolic equation. We prove that, starting from a sequence of initial states whose relative entropy with respect to the inhomogeneous product measure associated with the initial profile is [image: o(n^{d/2})], and whose density fluctuation field converges, the density fluctuation field converges, in [image: L^1(0,T; H_{-r})], to the solution of a linear stochastic partial differential equation with time-dependent coefficients driven by a conservative space-time white noise. -- ****************************************************************************** Prof. Alessandra Faggionato https://sites.google.com/mat.uniroma1.it/alessandrafaggionato/home Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome Office 123, first floor ******************************************************************************
participants (1)
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Faggionato, Alessandra