Random invariant measures for Markov chains, and independent particle systems

DOI10.1007/BF00537539zbMath0373.60076MaRDI QIDQ4150949

Thomas M. Liggett

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Convergence of probability measures (60B10)

Related Items

The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model, The minimum modulus of Gaussian trigonometric polynomials, Exclusion processes in higher dimensions: stationary measures and convergence, Ergodicity of a measure-valued Markov chain induced by random transformations, A critical measure-valued branching process with infinite mean, Convergence of independent particle systems, Extreme local extrema of two-dimensional discrete Gaussian free field, Convergence rates of attractive-repulsive MCMC algorithms, Systems of independent Markov chains, Equilibrium Distributions of Age Dependent Galton Watson Processes, II, The geometry of the Gibbs measure of pure spherical spin glasses, Stationary systems of Gaussian processes, A Friendly Tutorial on Mean-Field Spin Glass Techniques for Non-Physicists, Universality of the minimum modulus for random trigonometric polynomials, The fixed points of branching Brownian motion, Knudsen gas in a finite random tube: Transport diffusion and first passage properties, Extrema of the Two-Dimensional Discrete Gaussian Free Field, One dimensional nearest neighbor exclusion processes in inhomogeneous and random environ\-ments, Stationary distributions of the Atlas model, Characterization of invariant measures at the leading edge for competing particle systems, The age functional for Markov chains, Symmetric fixed points of a smoothing transformation, A new proof of Liggett's theorem for non-interacting Brownian motions, Fixed points of the smoothing transformation, Fixed points with finite variance of a smoothing transformation., A spatial zero-one law for equilibria of branching particle systems

Cites Work

• Interaction of Markov processes
• Entrance laws for Markov chains
• Sufficient statistics and extreme points
• Gleichverteilungseigenschaften substochastischer Kerne und zufällige Punktfolgen Dem 25. Jahreslag der DDR gewidmet
• Ratio Limit Theorems for Random Walks on Groups
• On the Distribution of the Maximum of a Semi-Markov Process
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item