Duality relations between spatial birth-death processes and diffusions in Hilbert space

Greenman, Chris D. (2020) Duality relations between spatial birth-death processes and diffusions in Hilbert space. Journal of Physics A: Mathematical and Theoretical, 53 (44). ISSN 1751-8113

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Abstract

Spatially dependent birth-death processes can be modelled by kinetic models such as the BBGKY hierarchy. Diffusion in infinite dimensional systems can be modelled with Brownian motion in Hilbert space. In this work Doi field theoretic formalism is utilised to establish dualities between these classes of processes. This enables path integral methods to calculate expectations of duality functions. These are exemplified with models ranging from stochastic cable signalling to jump-diffusion processes.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Computing Sciences Faculty of Science > School of Natural Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Computational Biology
Related URLs:	http://www.scopus.com/inward/record.url?... https://arxiv.org/abs/1912.01071
Depositing User:	LivePure Connector
Date Deposited:	25 Aug 2020 00:05
Last Modified:	20 Apr 2023 17:34
URI:	https://ueaeprints.uea.ac.uk/id/eprint/76558
DOI:	10.1088/1751-8121/abb1e0

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