Transient detailed balance and product form for reaction networks

Open Access
Authors
Publication date 2017
Journal Stochastic Models
Volume | Issue number 33 | 2
Pages (from-to) 322-341
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Faculty of Science (FNWI)
Abstract This paper explores the boundary of the set of reaction networks that have an exact transient (truncated) multidimensional Poisson or product-form distribution for the number of particles of different types. Motivated by the birth–death process, we introduce the notions of transient detailed balance and delay functions, and use these notions to obtain the novel transient product-form distribution in a coagulation-fragmentation process for polymers with a tree-like structure from that of the pure coagulation process.
Document type Article
Language English
Published at https://doi.org/10.1080/15326349.2017.1286510
Other links https://www.scopus.com/pages/publications/85014577101
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