The hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths

DOI10.1142/S2010326315500082zbMath1327.60185arXiv1412.0831MaRDI QIDQ3449980

Steven Delvaux, Bálint Vető

Publication date: 30 October 2015

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

Full work available at URL: https://arxiv.org/abs/1412.0831

zbMATH Keywords

Toeplitz determinantshard edge Pearcey processhard edge tacnode processmulti-time correlation kernelnon-intersecting squared Bessel processes

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (8)

Double interlacing in random tiling models ⋮ Singular values for products of complex Ginibre matrices with a source: hard edge limit and phase transition ⋮ Gap probability for the hard edge Pearcey process ⋮ Asymptotics of the Hard Edge Pearcey Determinant ⋮ Gap probabilities for the generalized Bessel process: a Riemann-Hilbert approach ⋮ Fluctuations of the arctic curve in the tilings of the Aztec diamond on restricted domains ⋮ Nonintersecting Brownian bridges between reflecting or absorbing walls ⋮ Hard-edge asymptotics of the Jacobi growth process

Cites Work

• Non-intersecting squared Bessel paths with one positive starting and ending point
• Nonintersecting random walks in the neighborhood of a symmetric tacnode
• Non-intersecting squared Bessel paths at a hard-edge tacnode
• Anisotropic growth of random surfaces in \({2+1}\) dimensions
• Non-colliding Brownian bridges and the asymmetric tacnode process
• Gap probabilities for the generalized Bessel process: a Riemann-Hilbert approach
• Noncolliding squared Bessel processes
• Non-intersecting squared Bessel paths: Critical time and double scaling limit
• The Pearcey process
• Szegő via Jacobi
• A note on biorthogonal ensembles
• Large time asymptotics of growth models on space-like paths. I: Push ASEP
• Level-spacing distributions and the Airy kernel
• Non-colliding Brownian motions and the extended tacnode process
• Double Aztec diamonds and the tacnode process
• THE GAP PROBABILITIES OF THE TACNODE, PEARCEY AND AIRY POINT PROCESSES, THEIR MUTUAL RELATIONSHIP AND EVALUATION
• 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
• Random surface growth with a wall and Plancherel measures for O (∞)

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