A generalized dynamic asymmetric exclusion process: orthogonal dualities and degenerations (Q6601067)

scientific article; zbMATH DE number 7909774

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English	A generalized dynamic asymmetric exclusion process: orthogonal dualities and degenerations	scientific article; zbMATH DE number 7909774

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instance of

scholarly article

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title

A generalized dynamic asymmetric exclusion process: orthogonal dualities and degenerations (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

10 September 2024

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zbMATH Keywords

interacting particle systems

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Markov duality

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quantum algebras

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orthogonal polynomials

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MaRDI profile type

Publication

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cites work

Higher order fluctuation fields and orthogonal duality polynomials

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Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality

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Markov duality and Bethe ansatz formula for half-line open ASEP

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Orthogonal polynomial duality of a two-species asymmetric exclusion process

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Symmetric elliptic functions, IRF models, and dynamic exclusion processes

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Dynamic ASEP, Duality, and Continuous q−1-Hermite Polynomials

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From duality to determinants for $q$-TASEP and ASEP

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Orthogonal dualities of Markov processes and unitary symmetries

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$q$-orthogonal dualities for asymmetric particle systems

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A generalized asymmetric exclusion process with $U_q(\mathfrak {sl}_2)$ stochastic duality

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Asymmetric stochastic transport models with $\mathcal{U}_q(\mathfrak{su}(1,1))$ symmetry

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Uphill diffusions in single and multi-species systems

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$\operatorname{ASEP}(q,j)$ converges to the KPZ equation

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Stochastic PDE limit of the dynamic ASEP

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Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

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Stochastic Duality and Orthogonal Polynomials

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Self-duality of Markov processes and intertwining functions

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Q4828543

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Some systems of multivariable orthogonal $q$-Racah polynomials

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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials

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Orthogonal stochastic duality functions from Lie algebra representations

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An Askey-Wilson algebra of rank 2

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Linear covariance algebra for SL<sub>q</sub>(2)

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

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Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

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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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A Multi-species ASEP $\boldsymbol{(q,\,j)}$ and $\boldsymbol{q}$-TAZRP with Stochastic Duality

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On dualities for SSEP and ASEP with open boundary conditions

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Factorized duality, stationary product measures and generating functions

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Q4502713

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A reverse duality for the ASEP with open boundaries

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Duality relations for asymmetric exclusion processes

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Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials

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Orthogonal polynomial stochastic duality functions for multi-species SEP $(2j)$ and multi-species IRW

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Identifiers

Mathematics Subject Classification ID

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10.1088/1751-8121/AD6F7B

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Sitelinks

Mathematics(1 entry)

mardi Publication:6601067