Integrable stochastic dualities and the deformed knizhnik-Zamolodchikov Equation

Zeying Chen; Jan De Gier; Michael Wheeler

doi:10.1093/IMRN/RNY159

Integrable stochastic dualities and the deformed knizhnik-Zamolodchikov Equation

Zeying Chen
, Jan De Gier
, Michael Wheeler^*

^*Corresponding author for this work

University of Melbourne

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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 selfdual single species ASEP on the integer lattice.

Original language	English
Pages (from-to)	5872-5925
Number of pages	54
Journal	International Mathematics Research Notices
Volume	2020
Issue number	19
DOIs	https://doi.org/10.1093/IMRN/RNY159
Publication status	Published - 2020
Externally published	Yes

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title = "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 (KZ) equations. Our method reproduces, as a special case, duality functions for the selfdual single species ASEP on the integer lattice.",

author = "Zeying Chen and \{De Gier\}, Jan and Michael Wheeler",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2018.",

year = "2020",

doi = "10.1093/IMRN/RNY159",

language = "English",

volume = "2020",

pages = "5872--5925",

journal = "International Mathematics Research Notices",

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T1 - Integrable stochastic dualities and the deformed knizhnik-Zamolodchikov Equation

AU - Chen, Zeying

AU - De Gier, Jan

AU - Wheeler, Michael

N1 - Publisher Copyright: © The Author(s) 2018.

PY - 2020

Y1 - 2020

N2 - 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 selfdual single species ASEP on the integer lattice.

AB - 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 selfdual single species ASEP on the integer lattice.

UR - https://www.scopus.com/pages/publications/85101287920

U2 - 10.1093/IMRN/RNY159

DO - 10.1093/IMRN/RNY159

M3 - Article

AN - SCOPUS:85101287920

SN - 1073-7928

VL - 2020

SP - 5872

EP - 5925

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 19

ER -

Integrable stochastic dualities and the deformed knizhnik-Zamolodchikov Equation

Abstract

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