Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation

Abstract

We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of the deformed Knizhnik-Zamolodchikov equations. Our method reproduces, as a special case, duality functions for the self-dual single species ASEP on the integer lattice.

arXiv comment33 pages

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Cited by in corpus (9)

• Self-duality of Markov processes and intertwining functions
• A reverse duality for the ASEP with open boundaries
• Dualities in quantum integrable many-body systems and integrable probabilities -- I
• Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations
• Limiting current distribution for a two species asymmetric exclusion process
• Transition probability and total crossing events in the multi-species asymmetric exclusion process
• Markov duality and Bethe ansatz formula for half-line open ASEP
• T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature
• Exact physical quantities of a competing spin chain in the thermodynamic limit