Gibbs distributions for random partitions generated by a fragmentation process

DOI10.1007/s10955-006-9261-1zbMath1126.82013arXivmath/0512378OpenAlexW4297935012MaRDI QIDQ2369996

Nathanaël Berestycki, Jim W. Pitman

Publication date: 21 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0512378

zbMATH Keywords

Gibbs distributionsfragmentation processesGould convolution identitiesMarcus-Lushnikov processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (12)

Coagulation Processes with Gibbsian Time Evolution ⋮ Extreme sizes in Gibbs-type exchangeable random partitions ⋮ Asymptotics of Symmetric Compound Poisson Population Models ⋮ Alpha-diversity processes and normalized inverse-Gaussian diffusions ⋮ Permanental partition models and Markovian Gibbs structures ⋮ Occupancy distributions arising in sampling from Gibbs-Poisson abundance models ⋮ Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof ⋮ Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case ⋮ Gibbs fragmentation trees ⋮ On time dynamics of coagulation-fragmentation processes ⋮ Population Genetics Models with Skewed Fertilities: A Forward and Backward Analysis ⋮ Generalized Markov branching trees

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