Proves a regularity principle for stationary actions and applies it to classify the number of ends in Schreier graphs of stationary random subgroups almost surely, with topological counterexamples.
arXiv preprint arXiv:2303.04237 , year=
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2026 2verdicts
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Stationary random metric measure spaces have 0, 1, 2 or Cantor ends, with surfaces classified by homeomorphism type.
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The No-Core Principle for Stationary Actions and Ends of Stationary Random Subgroups
Proves a regularity principle for stationary actions and applies it to classify the number of ends in Schreier graphs of stationary random subgroups almost surely, with topological counterexamples.
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Ends of stationary metric measure spaces
Stationary random metric measure spaces have 0, 1, 2 or Cantor ends, with surfaces classified by homeomorphism type.