Gibbs point processes in random environment


Description Phase 2

The goal of the project is to establish and analyze infinite-volume Gibbs point processes in random environment, where the environment enters via the intensity measure of the reference Poisson point process. More precisely, we investigate Cox-Gibbs point processes both in the quenched and the annealed sense via GNZ and DLR equations and derive criteria for the quasilocality of the associated Papangelou intensities and specification kernels. Moreover, we feature situations in which the random environment has a significant impact on the quasilocality properties of the model as well as on the phase-transition behavior. In particular, we intend to derive new phase transitions for the uniqueness of the infinite-volume equilibrium system based on connectivity properties and the dimension of the environment. As paradigmatic examples we investigate the Widom-Rowlinson model in an environment of Poisson-Boolean as well as Poisson-Voronoi type.

Preprints/Publications

Benedikt Jahnel, Jonas Köppl, Lukas Lüchtrath, Anh Duc Vu: Convex order and faster transmission in first contact percolation (05/2026)

Benedikt Jahnel, Daniel Kamecke, Christof Külske: Lattice random-field Widom--Rowlinson models (05/2026)

Benedikt Jahnel, Jonas Köppl: Restriction and mixing properties of interacting particle systems with unbounded range (03/2026)

Peter Gracar, Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu: Detection, coverage and percolation in dynamic Boolean models with random radii based on α-stable processes (02/2026)

Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck, Alexander Zass: Reversible birth-and-death dynamics in continuum: a de Bruijn-type identity for free-energy dissipation (02/2026)

Partha Pratim Ghosh, Benedikt Jahnel: Coexistence for Competing Branching Random Walks with Identical Asymptotic Shape on \mathbb{Z}^d (12/2025)

Johannes Bäumler, Benedikt Jahnel, Jonas Köppl, Bas Lodewijks, Lily Reeves, András Tóbiás: Local criteria for global connectivity comparisons: beyond stochastic domination (10/2025)

Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck, Alexander Zass: Reversible birth-and-death dynamics in continuum: free-energy dissipation and attractor properties (08/2025)

Christian Hirsch, Benedikt Jahnel, Péter Juhász: Functional limit theorems for edge counts in dynamic random connection hypergraphs (07/2025)

Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu: Oriented bond-site percolation in random environment and contact processes with periodic recovery (06/2025)

Partha Pratim Ghosh, Benedikt Jahnel, Yannic Steenbeck: Throughput in inhomogeneous planar drainage networks (06/2025)

Benedikt Jahnel, Lukas Lüchtrath, Christian Mönch: Phase transitions for contact processes on sparse random graphs via metastability and local limits (05/2025)

Benedikt Jahnel, Daniel Kamecke: Phase transitions for the Widom--Rowlinson model in random environments (05/2025)

Benedikt Jahnel, Lukas Lüchtrath, Christian Mönch: Phase transitions for contact processes on one-dimensional networks (01/2025)

Benedikt Jahnel, Anh Duc Vu: A long-range contact process in a random environment (10/2023)

Members

  • member's portrait

    Prof. Dr. Benedikt Jahnel

    Technische Universität Braunschweig
    Principal Investigator
  • member's portrait

    Dr. Partha Pratim Ghosh

    Technische Universität Braunschweig
    Associated Scientist
  • member's portrait

    M. Sc. Daniel Kamecke

    Technische Universität Braunschweig
    Associated Scientist

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