Stationary distributions and condensation in autocatalytic reaction networks
- Hoessly, Linard Department of Mathematics, University of Fribourg, Switzerland
- Mazza, Christian Department of Mathematics, University of Fribourg, Switzerland
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01.01.2019
Published in:
- SIAM Journal on Applied Mathematics. - 2019, vol. 79, no. 4, p. 1173–1196
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 327429
- DOI 10.1137/18M1220340
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308193
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