# Markov Duality for Stochastic Six Vertex Model

**Authors:** Yier Lin

arXiv: 1901.00764 · 2019-07-22

## TL;DR

This paper establishes a Markov duality for the stochastic six vertex model by extending Schütz's ASEP duality functional, introducing a novel induction-based proof method.

## Contribution

It introduces a new induction-based method to prove Markov duality for the stochastic six vertex model, extending existing ASEP duality results.

## Key findings

- Proves Markov duality for the stochastic six vertex model.
- Extends Schütz's ASEP duality functional to this model.
- Introduces a novel induction method for duality proofs.

## Abstract

We prove that Sch\"{u}tz'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.

## Full text

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## Figures

6 figures with captions in the complete paper: https://tomesphere.com/paper/1901.00764/full.md

## References

26 references — full list in the complete paper: https://tomesphere.com/paper/1901.00764/full.md

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Source: https://tomesphere.com/paper/1901.00764