Hoessly, Linard Mazza, Christian 2019-01-01 We investigate a broad family of stochastically modeled reaction networks by looking at their stationary distributions. Most known results on stationary distributions assume weak reversibility and zero deficiency. We first explicitly give product-form stationary distributions for a class of mostly non-weakly-reversible autocatalytic reaction networks of arbitrary deficiency. We provide examples of interest in statistical mechanics (inclusion process), life sciences, and robotics (collective decision making in ant and robot swarms). The product-form nature of the stationary distribution then enables the study of condensation in particle systems that are generalizations of the inclusion process. application/pdf https://folia.unifr.ch/global/documents/308193 https://folia.unifr.ch/documents/308193/files/maz_sdc.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1137/18M1220340 info:eu-repo/semantics/openAccess License undefined SIAM Journal on Applied Mathematics. - 2019, vol. 79, no. 4, p. 1173–1196 info:eu-repo/classification/udc/51 Stationary distributions and condensation in autocatalytic reaction networks http://purl.org/coar/resource_type/c_6501