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Integrable structure of multispecies zero range process (Q2360312)

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Language	Label	Description	Also known as
English	Integrable structure of multispecies zero range process	scientific article

Statements

scholarly article

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Integrable structure of multispecies zero range process (English)

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Satoshi Watanabe

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

3 July 2017

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full work available at URL

https://arxiv.org/abs/1701.07279

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zbMATH Keywords

integrable zero range process

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stochastic \(R\) matrix

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matrix product formula

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MaRDI profile type

MaRDI publication profile

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Exact solutions of exactly integrable quantum chains by a matrix product ansatz

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Spectrum of a multi-species asymmetric simple exclusion process on a ring

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Zamolodchikov's tetrahedron equation and hidden structure of quantum groups

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Quantum algebra symmetry of the ASEP with second-class particles

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Nonequilibrium steady states of matrix-product form: a solver's guide

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Stochastic six-vertex model

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Higher spin six vertex model and symmetric rational functions

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Construction of<i>R</i>-matrices for symmetric tensor representations related to ${U}_{q}(\hat{{{sl}}_{n}})$

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Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

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Matrix product formula for Macdonald polynomials

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The<i>q</i>-Hahn Boson Process and<i>q</i>-Hahn TASEP

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Stochastic higher spin vertex models on the line

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Integrable approach to simple exclusion processes with boundaries. Review and progress

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Exact solution of a 1D asymmetric exclusion model using a matrix formulation

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Nonequilibrium statistical mechanics of the zero-range process and related models

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Factorized steady states in mass transport models

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Quantum affine algebras and holonomic difference equations

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A new generalisation of Macdonald polynomials

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Condensation in the zero range process: stationary and dynamical properties

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A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation

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An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations

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Yang-Baxter equation and representation theory. I

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Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\)

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Multispecies TASEP and the tetrahedron equation

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Multispecies totally asymmetric zero range process: I. Multiline process and combinatorial<i>R</i>

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Multispecies totally asymmetric zero range process: II. Hat relation and tetrahedron equation

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Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\)

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Matrix product formula for ${{U}_{q}}(A_{2}^{(1)})$ -zero range process

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A \(q\)-boson representation of Zamolodchikov-Faddeev algebra for stochastic \(R\) matrix of \(U_q(A^{(1)}_n)\)

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Tetrahedron equation and generalized quantum groups

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Vertex models, TASEP and Grothendieck polynomials

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On the integrability of zero-range chipping models with factorized steady states

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The matrix product solution of the multispecies partially asymmetric exclusion process

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Stationary State of Integrable Systems in Matrix Product Form

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Exact results for one-dimensional totally asymmetric diffusion models

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Classical integrable field theories in discrete (2 + 1)-dimensional spacetime

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Interaction of Markov processes

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A deformation of affine Hecke algebra and integrable stochastic particle system

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On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\)

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On the asymmetric simple exclusion process with multiple species

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On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras

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Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2017.044

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2360312

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