Sampling and Statistical Physics via Symmetry

DOI10.1007/978-3-030-77957-3_20OpenAlexW3145112923MaRDI QIDQ5021912

Steve Huntsman

Publication date: 14 January 2022

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.00753

Mathematics Subject Classification ID

Computer science (68-XX) Statistical mechanics, structure of matter (82-XX) Differential geometry (53-XX)

Cites Work

• Non-reversible Metropolis-Hastings
• A characterization of entropy in terms of information loss
• Efficient computation of the Zassenhaus formula
• The Sherrington-Kirkpatrick model: an overview
• Open sets of exponentially mixing Anosov flows
• Spin glasses.
• Cut-off for \(n\)-tuples of exponentially converging processes
• Constructing optimal transition matrix for Markov chain Monte Carlo
• On the Lie structure of zero row sum and related matrices
• Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties
• On decay of correlations in Anosov flows
• Markov maps associated with Fuchsian groups
• Chaos in classical and quantum mechanics
• Optimal spectral structure of reversible stochastic matrices, Monte Carlo methods and the simulation of Markov random fields
• Lie semigroups and their applications
• What are SRB measures, and which dynamical systems have them?
• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• Dynamical ensembles in stationary states.
• The synchronization of chaotic systems
• Temperature in and out of equilibrium: a review of concepts, tools and attempts
• On contact Anosov flows
• Lie Markov models
• Riemannian manifolds with geodesic flow of Anosov type
• Chain recurrence rates and topological entropy
• Stability of mixing and rapid mixing for hyperbolic flows
• Dynamics of coupled map lattices and of related spatially extended systems. Lectures delivered at the school-forum CML 2004, Paris, France, June 21 -- July 2, 2004.
• Chaotic hypothesis, fluctuation theorem and singularities
• Accelerating reversible Markov chains
• Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
• Handbook of Uncertainty Quantification
• Thermal time and Tolman–Ehrenfest effect: ‘temperature as the speed of time’
• The Evolution of Markov Chain Monte Carlo Methods
• The effective temperature
• Optimum Monte-Carlo sampling using Markov chains
• Markov-type Lie groups in GL(n,R)
• Information Theory and Statistical Mechanics
• Does Waste Recycling Really Improve the Multi-Proposal Metropolis–Hastings algorithm? an Analysis Based on Control Variates
• Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows
• Handbook of Markov Chain Monte Carlo
• Nonequilibrium, thermostats, and thermodynamic limit
• AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS
• Geodesic flows, interval maps, and symbolic dynamics
• Markov Chains
• A geometric, dynamical approach to thermodynamics
• The statistical state of the universe
• Large deviation rule for Anosov flows
• Diamond's temperature: Unruh effect for bounded trajectories and thermal time hypothesis
• Generalised Gibbs sampler and multigrid Monte Carlo for Bayesian computation
• Parameter Expansion for Data Augmentation
• The Multiple-Try Method and Local Optimization in Metropolis Sampling
• Optimal Variance Reduction for Markov Chain Monte Carlo
• Monte Carlo Simulation in Statistical Physics
• Parallel Local Approximation MCMC for Expensive Models
• Independent Random Sampling Methods
• Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories
• The Stochastic Group
• On the Optimal Transition Matrix for Markov Chain Monte Carlo Sampling
• Thermodynamic limit for isokinetic thermostats
• On Thermostats: Isokinetic or Hamiltonian? Finite or infinite?
• Encyclopedia of Complexity and Systems Science
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Generating all vertices of a polyhedron is hard
• Statistics and dynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item