One-dimensional interacting particle systems as Pfaffian point processes

A wide class of one-dimensional continuous-time discrete-space interacting particle systems are shown to be Pfaffian point processes at fixed times with kernels characterised by the solutions to associated two-dimensional ODEs. The models comprise instantaneously coalescing or annihilating random wa...

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Bibliographic Details
Main Author: Garrod, Barnaby G.
Published: University of Warwick 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.693235