Branching random tessellations with interaction: a thermodynamic view

DOI10.1214/14-AOP923zbMath1320.60035arXiv1304.2572MaRDI QIDQ2354154

Christoph Thäle, Hans-Otto Georgii, Tomasz Schreiber

Publication date: 10 July 2015

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

Full work available at URL: https://arxiv.org/abs/1304.2572

zbMATH Keywords

relative entropyfree energyvariational principlestochastic geometryGibbs measureSTIT tessellationbranching tessellationcoloured tessellation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Entropy and other invariants (28D20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

A probabilistic model for interfaces in a martensitic phase transition ⋮ Splitting tessellations in spherical spaces ⋮ Random partitions of the plane via Poissonian coloring and a self-similar process of coalescing planar partitions ⋮ The Widom -- Rowlinson model under spin flip: immediate loss and sharp recovery of quasilocality ⋮ A Mecke-type formula and Markov properties for STIT tessellation processes ⋮ Life after life. Remembering Tomasz Schreiber

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