WIAS Preprint No. 3200, (2025)

Phase transitions for the Widom--Rowlinson model in random environments


Authors

  • Kamecke, Daniel
  • Jahnel, Benedikt
    ORCID: 0000-0002-4212-0065

2020 Mathematics Subject Classification

  • 60K35 05C80

Keywords

  • Non-uniqueness, random-cluster representation, percolation, stabilization, Cox point processes

DOI

10.20347/WIAS.PREPRINT.3200

Abstract

We establish non-uniqueness regimes for the infinite-volume two-colored Widom--Rowlinson model based on inhomogeneous Poisson point processes with locally finite intensity measures featuring percolation. As an application, we provide almost-sure phase-transition results for the Widom--Rowlinson model based on translation-invariant and ergodic Cox point processes with stabilizing and non-stabilizing directing measures.

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