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

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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.
Original languageEnglish
Article number445002
JournalJournal of Physics A: Mathematical and Theoretical
Volume53
Issue number44
Early online date9 Oct 2020
DOIs
Publication statusPublished - Nov 2020

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