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Hard Rod Hydrodynamics and the Levy Chentsov Field
Pablo A. Ferrari, Chiara Franceschini, Dante G. E. Grevino +1
We study the hydrodynamics of the hard rod model proposed by Boldrighini, Dobrushin and Soukhov by describing the displacement of each quasiparticle with respect to the correspondi…
Energy transport in stochastically perturbed lattice dynamics
Giada Basile, Stefano Olla, Herbert Spohn
We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order \varepsilon\^-1 the local spectral density (Wigner…
Scaling limit for a class of gradient fields with nonconvex potentials
Marek Biskup, Herbert Spohn
We consider gradient fields whose law takes the Gibbs--Boltzmann form , where the sum runs over nearest neighbors.…
Polymer pinning in a random medium as influence percolation
Vincent Beffara, Vladas Sidoravicius, Herbert Spohn +1
In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard meth…
A central limit theorem for Gibbs measures relative to Brownian motion
Volker Betz, Herbert Spohn
We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in th…
Constrained Brownian motion: Fluctuations away from circular and parabolic barriers
Patrik L. Ferrari, Herbert Spohn
Motivated by the polynuclear growth model, we consider a Brownian bridge b(t) with b(\pm T)=0 conditioned to stay above the semicircle c_T(t)=\sqrtT^2-t^2. In the limit of large T,…