Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 213-02. No percolation at criticality on quasi-transitive graphs
Manuscript map · lines 6255–6264
OpenAI@2026-10-07#rem:oai-p-213-02
Authors: OpenAI. Family 213.
Title: No percolation at criticality on quasi-transitive graphs.
Abstract: We prove that critical Bernoulli bond percolation has no infinite cluster on any infinite connected locally finite quasi-transitive graph with critical probability less than one. This resolves the bond form of the criticality conjecture of Benjamini and Schramm.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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