Duality relations for the reservoir-driven symmetric inclusion process in the continuum

  • Date:

    8 Jan 2026

  • Speaker:

    Clara von Scarpatetti (LMU & TUM)

  • Time:

    14h

  • Abstract: We study a continuum version of the reservoir-driven symmetric inclusion process, describing interacting particles jumping in a compact subset of Rd. Using point process theory, we construct the dynamics and analyze the probabilistic properties of the process. We establish a triangular duality relation between the reservoir-driven process and an absorbed process, extending classical results from the discrete setting to the continuum. Duality is then used to investigate the long-time behaviour and stationary measures, with the Pascal point process arising in the reversible case.