Asymptotics of the tacnode process: a transition between the gap probabilities from the tacnode to the Airy process

DOI10.1088/0951-7715/27/8/1937zbMath1305.60073arXiv1401.5446OpenAlexW3100498871MaRDI QIDQ2877449

Manuela Girotti

Publication date: 22 August 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5446

zbMATH Keywords

Riemann-Hilbert problempoint processFredholm determinantsteepest descent methodtacnode processAiry process

Mathematics Subject Classification ID

Diffusion processes (60J60) Riemann-Hilbert problems in context of PDEs (35Q15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (5)

Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation ⋮ On the gap probability of the tacnode process ⋮ Nonintersecting Brownian bridges between reflecting or absorbing walls ⋮ The \(k\)-tacnode process ⋮ Gap probability for products of random matrices in the critical regime

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