Temperley-Lieb stochastic processes

Paul A. Pearce; Vladimir Rittenberg; Jan De Gier; Bernard Nienhuis

doi:10.1088/0305-4470/35/45/105

Temperley-Lieb stochastic processes

Paul A. Pearce^*, Vladimir Rittenberg, Jan De Gier, Bernard Nienhuis

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

52 Citations (Scopus)

Abstract

We discuss one-dimensional stochastic processes defined through the Temperley-Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating the probability distribution which describes the stationary state, to the enumeration of a symmetry class of alternating sign matrices, objects that have received much attention in combinatorics.

Original language	English
Pages (from-to)	L661-L668
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	45
DOIs	https://doi.org/10.1088/0305-4470/35/45/105
Publication status	Published - 15 Nov 2002

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title = "Temperley-Lieb stochastic processes",

abstract = "We discuss one-dimensional stochastic processes defined through the Temperley-Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating the probability distribution which describes the stationary state, to the enumeration of a symmetry class of alternating sign matrices, objects that have received much attention in combinatorics.",

author = "Pearce, {Paul A.} and Vladimir Rittenberg and {De Gier}, Jan and Bernard Nienhuis",

year = "2002",

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doi = "10.1088/0305-4470/35/45/105",

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T1 - Temperley-Lieb stochastic processes

AU - Pearce, Paul A.

AU - Rittenberg, Vladimir

AU - De Gier, Jan

AU - Nienhuis, Bernard

PY - 2002/11/15

Y1 - 2002/11/15

N2 - We discuss one-dimensional stochastic processes defined through the Temperley-Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating the probability distribution which describes the stationary state, to the enumeration of a symmetry class of alternating sign matrices, objects that have received much attention in combinatorics.

AB - We discuss one-dimensional stochastic processes defined through the Temperley-Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating the probability distribution which describes the stationary state, to the enumeration of a symmetry class of alternating sign matrices, objects that have received much attention in combinatorics.

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U2 - 10.1088/0305-4470/35/45/105

DO - 10.1088/0305-4470/35/45/105

M3 - Review article

SN - 0305-4470

VL - 35

SP - L661-L668

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 45

ER -

Temperley-Lieb stochastic processes

Abstract

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