On the Equivalence Between Liggett Duality of Markov Processes and the Duality Relation Between Their Generators

A.-K. Koellner, W. Schenk, A. Voss-Boehme

2011, v.17, №3, 315-346


A general result on duality for Feller processes is stated which applies in particular to interacting particle systems. A rather natural condition is presented which ensures that the duality relation between the generator of a conservative Feller process with compact state space and the rate matrix of a Markov chain is equivalent to the according duality relation at the semigroup level. These findings are valid for general duality functions.

Keywords: interacting particle system,duality relation,dual Markov chain


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