Transition probability and total crossing events in the multi-species asymmetric exclusion process (Q6162534)

scientific article; zbMATH DE number 7696700

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English	Transition probability and total crossing events in the multi-species asymmetric exclusion process	scientific article; zbMATH DE number 7696700

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instance of

scholarly article

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title

Transition probability and total crossing events in the multi-species asymmetric exclusion process (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

15 June 2023

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full work available at URL

https://arxiv.org/abs/2109.14232

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zbMATH Keywords

exclusion processes

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vertex models

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exact solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Convergence of the stochastic six-vertex model to the ASEP, stochastic six-vertex model and ASEP

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Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

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

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Limiting distributions for a polynuclear growth model with external sources

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Q4856154

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Self-duality and shock dynamics in the $n$-species priority ASEP

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On a family of symmetric rational functions

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Color-position symmetry in interacting particle systems

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Macdonald processes

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

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Shift‐invariance for vertex models and polymers

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Bolzano's Logical System

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Higher spin six vertex model and symmetric rational functions

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Construction ofR-matrices for symmetric tensor representations related to ${U}_{q}(\hat{{{sl}}_{n}})$

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Algebraic Bethe ansatz for the two species ASEP with different hopping rates

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Matrix product formula for Macdonald polynomials

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Determinant representation for some transition probabilities in the TASEP with second class particles

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Limiting current distribution for a two species asymmetric exclusion process

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Integrable Stochastic Dualities and the Deformed Knizhnik–Zamolodchikov Equation

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Stochastic higher spin vertex models on the line

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Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries

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Exact solution of the totally asymmetric simple exclusion process: shock profiles

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Microscopic structure of travelling waves in the asymmetric simple exclusion process

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Stationary distributions of multi-type totally asymmetric exclusion processes

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Limit law of a second class particle in TASEP with non-random initial condition

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Symmetries of stochastic colored vertex models

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A new generalisation of Macdonald polynomials

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The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics

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Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian

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Shape fluctuations and random matrices

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Dynamic Scaling of Growing Interfaces

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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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Probability distributions of multi-species $q$-TAZRP and ASEP as double cosets of parabolic subgroups

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Determinantal expressions in multi-species TASEP

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Two Dualities: Markov and Schur–Weyl

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Yang-Baxter equation and representation theory. I

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Multispecies TASEP and the tetrahedron equation

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Multispecies totally asymmetric zero range process: I. Multiline process and combinatorialR

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Q5185817

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Q4265490

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Exact solution of an exclusion process with three classes of particles and vacancies

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On the Yang-Baxter equation for the six-vertex model

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Asymmetric simple exclusion process and modified random matrix ensembles

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KPZ statistics of second class particles in ASEP via mixing

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A sufficient criterion for integrability of stochastic many-body dynamics and quantum spin chains

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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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Current fluctuations for the totally asymmetric simple exclusion process

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The crossover regime for the weakly asymmetric simple exclusion process

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Exact height distributions for the KPZ equation with narrow wedge initial condition

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Exact solution of the master equation for the asymmetric exclusion process

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Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles

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Q4002759

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Integral formulas for the asymmetric simple exclusion process

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Asymptotics in ASEP with step initial condition

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On the asymmetric simple exclusion process with multiple species

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$(\log t)^{2/3}$ law of the two-dimensional asymmetric simple exclusion process

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T-Q relations for the integrable two-species asymmetric simple exclusion process with open boundaries

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Identifiers

zbMATH Open document ID

1512.60064

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arXiv ID

2109.14232

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Mathematics Subject Classification ID

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10.1088/1751-8121/ACD5BE

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Sitelinks

Mathematics(1 entry)

mardi Publication:6162534