asymmetric exclusion processes
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scholarly journals Integrable Stochastic Dualities and the Deformed Knizhnik–Zamolodchikov Equation

2018 ◽  
Vol 2020 (19) ◽  
pp. 5872-5925 ◽  
Author(s):  
Zeying Chen ◽  
Jan de Gier ◽  
Michael Wheeler
Keyword(s):  
Single Species ◽  
Integer Lattice ◽  
The Self ◽  
New Method ◽  
Exclusion Processes ◽  
Asymmetric Exclusion ◽  
Special Case ◽  
Asymmetric Exclusion Processes ◽  
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 (KZ) equations. Our method reproduces, as a special case, duality functions for the self-dual single species ASEP on the integer lattice.

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