@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}
}
@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}
}
@unpublished{Nehring2012,
  author    = {Nehring, Benjamin},
  title     = {Construction of point processes for classical and quantum gases},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59648},
  year      = {2012},
  abstract  = {We propose a new construction of point processes, which generalizes the class of infinitely divisible point processes. Examples are the quantum Boson and Fermion gases as well as the classical Gibbs point processes, where the interaction is given by a stable and regular pair potential.},
  language  = {en}
}
@unpublished{DereudreRoelly2004,
  author    = {Dereudre, David and Roelly, Sylvie},
  title     = {Propagation of Gibbsianness for infinite-dimensional gradient Brownian diffusions},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51535},
  year      = {2004},
  abstract  = {We study the (strong-)Gibbsian character on RZd of the law at time t of an infinitedimensional gradient Brownian diffusion , when the initial distribution is Gibbsian.},
  language  = {en}
}
@misc{RoellyDereudre2004,
  author    = {Roelly, Sylvie and Dereudre, David},
  title     = {Propagation of Gibbsiannes for infinite-dimensional gradient Brownian diffusions},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6918},
  year      = {2004},
  abstract  = {We study the (strong-)Gibbsian character on R Z d of the law at time t of an infinitedimensional gradient Brownian diffusion , when the initial distribution is Gibbsian.},
  language  = {en}
}
@misc{RoellyDereudre2004,
  author    = {Roelly, Sylvie and Dereudre, David},
  title     = {On Gibbsianness of infinite-dimensional diffusions},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6692},
  year      = {2004},
  abstract  = {The authors analyse different Gibbsian properties of interactive Brownian diffusions X indexed by the d-dimensional lattice. In the first part of the paper, these processes are characterized as Gibbs states on path spaces. In the second part of the paper, they study the Gibbsian character on R^{Z^d} of the law at time t of the infinite-dimensional diffusion X(t), when the initial law is Gibbsian. AMS Classifications: 60G15 , 60G60 , 60H10 , 60J60},
  language  = {en}
}
@misc{RoellyDaiPra2004,
  author    = {Roelly, Sylvie and Dai Pra, Paolo},
  title     = {An existence result for infinite-dimensional Brownian diffusions with non- regular and non Markovian drift},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6684},
  year      = {2004},
  abstract  = {We prove in this paper an existence result for infinite-dimensional stationary interactive Brownian diffusions. The interaction is supposed to be small in the norm ||.||∞ but otherwise is very general, being possibly non-regular and non-Markovian. Our method consists in using the characterization of such diffusions as space-time Gibbs fields so that we construct them by space-time cluster expansions in the small coupling parameter.},
  language  = {en}
}