@article{RoellyRuszel2014,
  author    = {Roelly, Sylvie and Ruszel, W. M.},
  title     = {Propagation of gibbsianness for infinite-dimensional diffusions with space-time interaction},
  series = {Markov processes and related fields},
  volume    = {20},
  journal   = {Markov processes and related fields},
  number    = {4},
  publisher = {Polymat},
  address   = {Moscow},
  issn      = {1024-2953},
  pages     = {653 -- 674},
  year      = {2014},
  abstract  = {We consider infinite-dimensional diffusions where the interaction between the coordinates has a finite extent both in space and time. In particular, it is not supposed to be smooth or Markov. The initial state of the system is Gibbs, given by a strong summable interaction. If the strongness of this initial interaction is lower than a suitable level, and if the dynamical interaction is bounded from above in a right way, we prove that the law of the diffusion at any time t is a Gibbs measure with absolutely summable interaction. The main tool is a cluster expansion in space uniformly in time of the Girsanov factor coming from the dynamics and exponential ergodicity of the free dynamics to an equilibrium product measure.},
  language  = {en}
}
@article{HoudebertZass2022,
  author    = {Houdebert, Pierre and Zass, Alexander},
  title     = {An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions},
  series = {Journal of applied probability / Applied Probability Trust},
  volume    = {59},
  journal   = {Journal of applied probability / Applied Probability Trust},
  number    = {2},
  publisher = {Cambridge Univ. Press},
  address   = {Cambridge},
  issn      = {0021-9002},
  doi       = {10.1017/jpr.2021.70},
  pages     = {541 -- 555},
  year      = {2022},
  abstract  = {We present a uniqueness result for Gibbs point processes with interactions that come from a non-negative pair potential; in particular, we provide an explicit uniqueness region in terms of activity z and inverse temperature beta. The technique used relies on applying to the continuous setting the classical Dobrushin criterion. We also present a comparison to the two other uniqueness methods of cluster expansion and disagreement percolation, which can also be applied for this type of interaction.},
  language  = {en}
}