Transitions Between Critical Kernels: From the Tacnode Kernel and Critical Kernel in the Two-Matrix Model to the Pearcey Kernel

DOI10.1093/imrn/rnu105zbMath1341.60127arXiv1208.0762OpenAlexW2964310749MaRDI QIDQ3454239

Dries Geudens, Lun Zhang

Publication date: 24 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0762

zbMATH Keywords

Riemann-Hilbert problemnonintersecting Brownian motionsPearcey kernelmulticritical correlation kernelstacnode kernel

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (14)

On the deformed Pearcey determinant ⋮ Asymptotics of Fredholm determinant associated with the Pearcey kernel ⋮ Gap probability for the hard edge Pearcey process ⋮ Upper bounds for the maximum deviation of the Pearcey process ⋮ Cusp universality for random matrices. I: Local law and the complex Hermitian case ⋮ Critical behavior of non-intersecting Brownian motions ⋮ Boundary asymptotics of non-intersecting Brownian motions: Pearcey, Airy and a transition ⋮ On the generating function of the Pearcey process ⋮ On the gap probability of the tacnode process ⋮ Painlevé kernels in Hermitian matrix models ⋮ The tacnode Riemann-Hilbert problem ⋮ Nonintersecting Brownian bridges between reflecting or absorbing walls ⋮ The \(k\)-tacnode process ⋮ Hard-edge asymptotics of the Jacobi growth process

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