作者：Bahadoran, C.; Mountford, T.; Ravishankar, K.; Saada, E.
作者单位：Universite Clermont Auvergne (UCA); Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; New York University; NYU Shanghai; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); IMT - Institut Mines-Telecom; Institut Polytechnique de Paris; Telecom SudParis
摘要：We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the number of particles. We prove quenched strong local equilibrium at subcritical and critical hydrodynamic densities, and dynamic local loss of mass at supercritical hydrodynamic densities. Our results do not assume starting from local Gibbs states. As byproducts of these results, we prove convergence of the process fro...
作者：Caraceni, Alessandra; Stauffer, Alexandre
作者单位：University of Bath
摘要：We establish the first polynomial upper bound for the mixing time of random edge flips on rooted quadrangulations: we show that the spectral gap of the edge flip Markov chain on quadrangulations with n faces admits, up to constants, an upper bound of n(-5/4) and a lower bound of n(-11/2). In order to obtain the lower bound, we also consider a very natural Markov chain on plane trees-or, equivalently, on Dyck paths-and improve the previous lower bound for its spectral gap by Shor and Movassagh.
