@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} }