PDMP characterisation of event-chain Monte Carlo algorithms for particle systems

DOI10.1007/s10955-023-03069-8OpenAlexW4298855778MaRDI QIDQ2694775

Athina Monemvassitis, Manon Michel, Arnaud Guillin

Publication date: 4 April 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11070

zbMATH Keywords

generatorergodicityhard spheresparticle systemsMarkov-chain Monte Carlopiecewise-deterministic Markov processesevent-chain Monte Carlosoft spheres

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Probability theory and stochastic processes (60-XX) Probabilistic methods, stochastic differential equations (65Cxx)

Cites Work

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• The Zig-Zag Process and Super-Efficient Sampling for Bayesian Analysis of Big Data
• The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method
• Qualitative properties of certain piecewise deterministic Markov processes
• Irreversible Monte Carlo algorithms for efficient sampling
• Geometric analysis for the Metropolis algorithm on Lipschitz domains
• Markov chains and stochastic stability
• Topological conditions enabling use of Harris methods in discrete and continuous time
• Piecewise deterministic Markov processes for continuous-time Monte Carlo
• Analysis of a nonreversible Markov chain sampler.
• Piecewise deterministic Markov processes and their invariant measures
• Cores for piecewise-deterministic Markov processes used in Markov chain Monte Carlo
• Sparse hard-disk packings and local Markov chains
• Ergodicity of the zigzag process
• Geometric ergodicity of the bouncy particle sampler
• Stability of Markovian processes II: continuous-time processes and sampled chains
• Invariant densities for dynamical systems with random switching
• The Recurrence Structure of General Markov Processes
• Forward Event-Chain Monte Carlo: Fast Sampling by Randomness Control in Irreversible Markov Chains
• Geometric ergodicity of Langevin dynamics with Coulomb interactions
• Equation of State Calculations by Fast Computing Machines
• [https://portal.mardi4nfdi.de/wiki/Publication:5564837 Mesure invariante sur les classes r�currentes des processus de Markov]
• Monte Carlo sampling methods using Markov chains and their applications
• Some simple but challenging Markov processes

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