Local behaviour of Airy processes

DOI10.1007/s10955-018-2147-1zbMath1405.82029arXiv1704.01903OpenAlexW2606617231WikidataQ129266848 ScholiaQ129266848MaRDI QIDQ1757176

Leandro P. R. Pimentel

Publication date: 2 January 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01903

zbMATH Keywords

Brownian motionKPZ universalitylast-passage percolationAiry processes

Mathematics Subject Classification ID

Brownian motion (60J65) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Time-dependent percolation in statistical mechanics (82C43) PDEs in connection with statistical mechanics (35Q82)

Related Items (21)

Universality of the geodesic tree in last passage percolation ⋮ Ergodicity of the KPZ Fixed Point ⋮ Joint distribution of Busemann functions in the exactly solvable corner growth model ⋮ Modulus of continuity of polymer weight profiles in Brownian last passage percolation ⋮ Existence of stationary ballistic deposition on the infinite lattice ⋮ Time-time covariance for last passage percolation in half-space ⋮ Shift-invariance of the colored TASEP and finishing times of the oriented swap process ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Non-uniqueness times for the maximizer of the KPZ fixed point ⋮ On the exponent governing the correlation decay of the \(\text{Airy}_1\) process ⋮ TASEP fluctuations with soft-shock initial data ⋮ Time-time covariance for last passage percolation with generic initial profile ⋮ Time correlation exponents in last passage percolation ⋮ Brownian aspects of the KPZ fixed point ⋮ Temporal correlation in last passage percolation with flat initial condition via Brownian comparison ⋮ KPZ equation correlations in time ⋮ Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition ⋮ Coalescence of geodesics in exactly solvable models of last passage percolation ⋮ Shock fluctuations in TASEP under a variety of time scalings ⋮ Limit law of a second class particle in TASEP with non-random initial condition ⋮ Local KPZ behavior under arbitrary scaling limits

Cites Work

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