THE GAP PROBABILITIES OF THE TACNODE, PEARCEY AND AIRY POINT PROCESSES, THEIR MUTUAL RELATIONSHIP AND EVALUATION

DOI10.1142/S2010326313500032zbMath1274.60154arXiv1303.2894OpenAlexW3105035156MaRDI QIDQ2844436

Marco Bertola, Mattia Cafasso

Publication date: 28 August 2013

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2894

zbMATH Keywords

point processesFredholm determinantsnumerical evaluation

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

The hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths ⋮ Correction to: ``The dependence on the monodromy data of the isomonodromic tau function ⋮ Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation ⋮ On the gap probability of the tacnode process ⋮ The tacnode Riemann-Hilbert problem ⋮ On the zeros of the Pearcey integral and a Rayleigh-type equation ⋮ Integrable structure of products of finite complex Ginibre random matrices ⋮ The \(k\)-tacnode process

Cites Work

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• The arctic circle boundary and the Airy process
• The Transition between the Gap Probabilities from the Pearcey to the Airy Process—a Riemann–Hilbert Approach
• Critical behavior of nonintersecting Brownian motions at a tacnode
• On the numerical evaluation of Fredholm determinants
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix

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