A nonamenable ``factor of a Euclidean space

DOI10.1214/20-AOP1485zbMath1483.60017arXiv1712.08210OpenAlexW3148641310WikidataQ114060527 ScholiaQ114060527MaRDI QIDQ2039440

Ádám Timár

Publication date: 2 July 2021

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

Full work available at URL: https://arxiv.org/abs/1712.08210

zbMATH Keywords

random tilingindistinguishabilityfactor of IIDisometry-invariant tiling

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probabilistic methods in group theory (20P99)

Related Items

A full characterization of invariant embeddability of unimodular planar graphs ⋮ Uniform even subgraphs and graphical representations of Ising as factors of i.i.d. ⋮ Finite-energy infinite clusters without anchored expansion ⋮ One-ended spanning trees in amenable unimodular graphs ⋮ Invariant embeddings of unimodular random planar graphs

Cites Work

• Ergodicity and indistinguishability in percolation theory
• A stable marriage of Poisson and Lebesgue
• Indistinguishability of percolation clusters
• Tree and grid factors for general point processes
• One-ended spanning trees in amenable unimodular graphs
• Hyperbolic and parabolic unimodular random maps
• Kesten's theorem for invariant random subgroups.
• Processes on unimodular random networks
• Percolation in the hyperbolic plane
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Invariant tilings and unimodular decorations of Cayley graphs