A conditional scaling limit of the KPZ fixed point with height tending to infinity at one location

DOI10.1214/24-ejp1092arXiv2208.12215MaRDI QIDQ6126965

Zhipeng Liu, Yizao Wang

Publication date: 10 April 2024

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

Full work available at URL: https://arxiv.org/abs/2208.12215

zbMATH Keywords

Brownian bridgeKPZ fixed pointdirected landscapeconditional scaling limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• Two time distribution in Brownian directed percolation
• Integral formulas for the asymmetric simple exclusion process
• Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
• Asymptotics in ASEP with step initial condition
• Scale invariance of the PNG droplet and the Airy process
• Discrete polynuclear growth and determinantal processes
• Endpoint distribution of directed polymers in \(1 + 1\) dimensions
• Shape fluctuations and random matrices
• The KPZ fixed point
• Multipoint distribution of TASEP
• Brownian Gibbs property for Airy line ensembles
• Macdonald processes
• Fluctuation properties of the TASEP with periodic initial configuration
• When the geodesic becomes rigid in the directed landscape
• Multitime Distribution in Discrete Polynuclear Growth
• On the distribution of the length of the longest increasing subsequence of random permutations
• One-sided reflected Brownian motions and the KPZ fixed point
• On the Location of the Maximum of a Continuous Stochastic Process

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