Poisson splitting by factors

DOI10.1214/11-AOP651zbMath1277.60087arXiv0908.3409MaRDI QIDQ651009

Terry Soo, Alexander E. Holroyd, Russell Lyons

Publication date: 8 December 2011

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3409

zbMATH Keywords

thinningPoisson processstochastic dominationfactor map

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (15)

A monotone Sinai theorem ⋮ Finitary isomorphisms of renewal point processes and continuous-time regenerative processes ⋮ Poisson thickening ⋮ Ergodicity of Poisson products and applications ⋮ Point processes, cost, and the growth of rank in locally compact groups ⋮ Isomorphisms of Poisson systems over locally compact groups ⋮ Stationary map coloring ⋮ Factors of IID on Trees ⋮ Finitary isomorphisms of Poisson point processes ⋮ Deterministic thinning of finite Poisson processes ⋮ Equivariant thinning over a free group ⋮ Finitary isomorphisms of some infinite entropy Bernoulli flows ⋮ Ising model on trees and factors of IID ⋮ Finitary isomorphisms of Brownian motions ⋮ Ergodic Poisson splittings

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