Strong Sharpness of the Phase Transition in the Stationary Marked Random Connection Model

  • Datum:

    15 Jan 2026

  • Referent:

    Mikhail Chebunin (Uni Ulm)

  • Zeit:

    14 h

  • Abstract: We study a random connection model (RCM) driven by a Poisson point process in a general spatial setting. We investigate the light-tailed behavior of connected components in the subcritical regime and establish that the stationary marked RCM, which includes the so-called weight-dependent RCM as a special case, under natural assumptions, exhibits the strong sharpness of the phase transition.