Abstract
We prove that Schutz’s ASEP Markov duality functional is also a Markov duality functional for the stochastic six vertex model. We introduce a new method that uses induction on the number of particles to prove the Markov duality.
Highlights
We prove that Schütz’s asymmetric simple exclusion process (ASEP) Markov duality functional is a Markov duality functional for the stochastic six vertex model
We introduce a new method that uses induction on the number of particles to prove the Markov duality
The stochastic six vertex model (S6V model) is a classical model in 2d statistical physics first introduced by Gwa and Spohn [16], as a special case of the six vertex model
Summary
1.1 Stochastic six vertex modelThe stochastic six vertex model (S6V model) is a classical model in 2d statistical physics first introduced by Gwa and Spohn [16], as a special case of the six vertex (ice) model (see for example [21] and [4]). Having specified our state space, we proceed to define the particle interpretation of the S6V model as the following discrete-time Markov processes.
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