One-point asymptotics for half-flat ASEP

DOI10.1214/23-aap1987arXiv2211.02787OpenAlexW4391483493MaRDI QIDQ6126799

Anushka Murthy, Evgeni Dimitrov

Publication date: 10 April 2024

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

Full work available at URL: https://arxiv.org/abs/2211.02787

zbMATH Keywords

asymmetric simple exclusion processKardar-Parisi-Zhang universality class

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Exact formulas for random growth with half-flat initial data
• From duality to determinants for \(q\)-TASEP and ASEP
• Yang's system of particles and Hecke algebras
• The one-dimensional KPZ equation and its universality class
• A KPZ cocktail-shaken, not stirred\dots: Toasting 30 years of kinetically roughened surfaces
• Tracy-Widom asymptotics for \(q\)-TASEP
• Interaction of Markov processes
• Scale invariance of the PNG droplet and the Airy process
• Discrete polynuclear growth and determinantal processes
• KPZ and Airy limits of Hall-Littlewood random plane partitions
• On orthogonal and symplectic matrix ensembles
• Continuum statistics of the Airy\(_{2}\) process
• Supremum of the \(\mathrm{Airy}_{2}\) process minus a parabola on a half line
• The KPZ fixed point
• Macdonald processes
• A class of interactions in an infinite particle system
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• Two-point convergence of the stochastic six-vertex model to the Airy process
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• A Remark on Stirling's Formula
• Airy Processes and Variational Problems
• Transition between Airy₁and Airy₂processes and TASEP fluctuations
• Foundations of Modern Probability
• Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
• Norms and scalar products for AdS ₃
• Existence Theorems for Infinite Particle Systems

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