Poisson-Dirichlet asymptotics in condensing particle systems

Paul Chleboun, Simon Gabriel, Stefan Grosskinsky

Publication date: 8 December 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09625

zbMATH Keywords

condensation interacting particle systems random partitions equivalence of ensembles Poisson-Dirichlet distribution split-merge dynamics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Cites Work

Unnamed Item
Unnamed Item
Invariant measures of mass migration processes
Duality for stochastic models of transport
Spatial random permutations and Poisson-Dirichlet law of cycle lengths
Thermodynamic limit for the invariant measures in supercritical zero range processes
Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex
Lines of descent in the diffusion approximation of neutral Wright-Fisher models
Condensation in the zero range process: stationary and dynamical properties
Asymptotics of certain coagulation-fragmentation processes and invariant Poisson-Dirichlet measures
Size of the largest cluster under zero-range invariant measures
The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transfor\-mations.
An elementary proof of the local central limit theorem
Condensation in stochastic particle systems with stationary product measures
Split-and-merge in stationary random stirring on lattice torus
Asymptotic statistics of cycles in surrogate-spatial permutations
Structure of the condensed phase in the inclusion process
Compositions of random transpositions
Lattice permutations and Poisson-Dirichlet distribution of cycle lengths
Zero-range condensation at criticality
Quantum Heisenberg models and their probabilistic representations
On the distribution of points in a poisson dirichlet process
Entropy and Information Theory
Processus des misanthropes
Condensation for random variables conditioned by the value of their sum
Duality and exact correlations for a model of heat conduction
Zero-range processes with multiple condensates: statics and dynamics
The Poisson-Dirichlet Distribution and Related Topics
Pair-factorized steady states on arbitrary graphs
The infinitely-many-neutral-alleles diffusion model
On convergence and extensions of size-biased permutations
Dynamics of condensation in zero-range processes
A simple stochastic model for the dynamics of condensation
Gibbs states and the set of solutions of random constraint satisfaction problems
Condensation in stochastic mass transport models: beyond the zero-range process

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