Solution of the Kolmogorov equation for TASEP

DOI10.1214/20-AOP1425zbMath1456.60263arXiv1906.01692MaRDI QIDQ2212596

Yanyan Li

Publication date: 24 November 2020

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01692

zbMATH Keywords

TASEPKPZ universality classKPZ fixed pointPushASEP

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23)

Related Items (6)

KPZ-type fluctuation exponents for interacting diffusions in equilibrium ⋮ TASEP and generalizations: method for exact solution ⋮ Integrable fluctuations in the KPZ universality class ⋮ Exact solution of interacting particle systems related to random matrices ⋮ Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy-Widom GOE distribution ⋮ An example of intrinsic randomness in deterministic PDES

Cites Work

• From duality to determinants for \(q\)-TASEP and ASEP
• Current moments of 1D ASEP by duality
• Fluctuations of the one-dimensional polynuclear growth model with external sources
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• Exact solution of the master equation for the asymmetric exclusion process
• Level-spacing distributions and the Airy kernel
• Scale invariance of the PNG droplet and the Airy process
• Discrete polynuclear growth and determinantal processes
• Shape fluctuations and random matrices
• Fluctuation properties of the TASEP with periodic initial configuration
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice—bulk eigenvalues
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice-first excited states
• Transition between Airy₁and Airy₂processes and TASEP fluctuations
• Limit process of stationary TASEP near the characteristic line
• Dynamics of an anchored Toom interface
• Fluctuations of TASEP on a Ring in Relaxation Time Scale
• Matrices coupled in a chain: I. Eigenvalue correlations
• From the totally asymmetric simple exclusion process to the KPZ fixed point

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