The stochastic telegraph equation limit of the stochastic higher spin six vertex model

DOI10.1214/20-EJP552zbMath1470.60186arXiv2005.00620OpenAlexW3021253223MaRDI QIDQ2042646

Yier Lin

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00620

zbMATH Keywords

functional central limit theoremfusionstochastic telegraph equationstochastic higher spin six vertex model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Classification of stationary distributions for the stochastic vertex models ⋮ Strong law of large numbers for the stochastic six vertex model

Cites Work

• Unnamed Item
• Stochastic six-vertex model
• Stochastic higher spin vertex models on the line
• Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
• On a family of symmetric rational functions
• Stationary stochastic higher spin six vertex model and \(q\)-Whittaker measure
• Yang-Baxter equation and representation theory. I
• Level-spacing distributions and the Airy kernel
• Higher spin six vertex model and symmetric rational functions
• An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations
• KPZ equation limit of higher-spin exclusion processes
• Stochastic PDE limit of the six vertex model
• A stochastic telegraph equation from the six-vertex model
• Markov duality for stochastic six vertex model
• KPZ equation limit of stochastic higher spin six vertex model
• On the Yang-Baxter equation for the six-vertex model
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Dynamic Scaling of Growing Interfaces
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
• Stochastic higher spin six vertex model and Macdonald measures
• Stochastic telegraph equation limit for the stochastic six vertex model
• Martingale Central Limit Theorems

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