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4 papers · 2 filters
Elliptic regularity and quantitative homogenization on percolation clusters
Scott Armstrong, Paul Dario
We establish quantitative homogenization, large-scale regularity and Liouville results for the random conductance model on a supercritical (Bernoulli bond) percolation cluster. The…
TASEP on a ring in sub-relaxation time scale
Jinho Baik, Zhipeng Liu
Interacting particle systems in the KPZ universality class on a ring of size with number of particles are expected to change from KPZ dynamics to equilibrium dynamics at…
Metastability of the Nonlinear Wave Equation: Insights from Transition State Theory
Katherine A Newhall, Eric Vanden-Eijnden
This paper is concerned with the long-time dynamics of the nonlinear wave equation in one-space dimension, where is a pa…
Metastability of non-reversible mean-field Potts model with three spins
Claudio Landim, Insuk Seo
We examine a non-reversible, mean-field Potts model with three spins on a set with points. Without an external field, there are three critical temperatures and fi…