Tightness of discrete Gibbsian line ensembles

DOI10.1016/J.SPA.2023.02.002OpenAlexW4319762296MaRDI QIDQ2698482

Christian Serio

Publication date: 24 April 2023

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05110

zbMATH Keywords

Airy line ensembleGibbsian line ensemblesnon-crossing random walks

Mathematics Subject Classification ID

Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Cites Work

• Unnamed Item
• Fluctuations of TASEP and LPP with general initial data
• Airy processes with wanderers and new universality classes
• Level-spacing distributions and the Airy kernel
• Discrete polynuclear growth and determinantal processes
• Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles
• Characterization of Brownian Gibbsian line ensembles
• Tightness of Bernoulli Gibbsian line ensembles
• Brownian Gibbs property for Airy line ensembles
• KMT coupling for random walk bridges
• Markov Chains
• Probability

This page was built for publication: Tightness of discrete Gibbsian line ensembles