Spectral gap and cutoff phenomenon for the Gibbs sampler of \(\nabla \varphi\) interfaces with convex potential

DOI10.1214/21-AIHP1174zbMath1502.37032arXiv2007.10108MaRDI QIDQ2155513

Cyril Labbé, Hubert Lacoin, Pietro Caputo

Publication date: 15 July 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10108

zbMATH Keywords

cutoffspectral gapmixing time

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (5)

The mixing time of the Lozenge tiling Glauber dynamics ⋮ Universal cutoff for Dyson Ornstein Uhlenbeck process ⋮ Mixing of the averaging process and its discrete dual on finite-dimensional geometries ⋮ Universality of cutoff for exclusion with reservoirs ⋮ Cutoff for the Glauber dynamics of the lattice free field

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