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 Abstract:
We consider a gradient, speed-change, symmetric exclusion process on
the discrete torus
, 
, 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 "o(n^{d/2})")
, and whose
density fluctuation field converges, the density fluctuation field
converges, in "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.
the discrete torus
, , whose empirical measureevolves, 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
, and whosedensity fluctuation field converges, the density fluctuation field
converges, in
, to the solution of a linearstochastic partial differential equation with time-dependent
coefficients driven by a conservative space-time white noise.