Scaling limit for Brownian motions with one-sided collisions
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Publication:2346075
DOI10.1214/14-AAP1025zbMath1315.60108arXiv1306.5095OpenAlexW2033380414MaRDI QIDQ2346075
Herbert Spohn, Thomas Weiss, Patrik Lino Ferrari
Publication date: 29 May 2015
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.5095
Fredholm determinantBrownian motionsAiry\(_{1}\) processone-sided collisionperiodic initial configuration
Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (14)
Determinantal structures in the O'Connell-Yor directed random polymer model ⋮ Interacting particle systems at the edge of multilevel Dyson Brownian motions ⋮ Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density ⋮ The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions ⋮ Two-Sided Infinite Systems of Competing Brownian Particles ⋮ The one-dimensional KPZ equation and its universality class ⋮ KPZ-type fluctuation exponents for interacting diffusions in equilibrium ⋮ Large-Deviation Principle for Interacting Brownian Motions ⋮ Exact solution of interacting particle systems related to random matrices ⋮ Long time behaviour and mean-field limit of Atlas models ⋮ One-sided reflected Brownian motions and the KPZ fixed point ⋮ Large deviations for sticky Brownian motions ⋮ Attractiveness of Brownian queues in tandem ⋮ Height fluctuations for the stationary KPZ equation
Uses Software
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