Asymptotics of Fredholm determinant associated with the Pearcey kernel

DOI10.1007/s00220-021-03986-3zbMath1469.60027arXiv2002.06370OpenAlexW3005683652MaRDI QIDQ2662871

Dan Dai, Shuai-Xia Xu, Lun Zhang

Publication date: 15 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06370

zbMATH Keywords

Riemann-Hilbert problemFredholm determinantstatistics of eigenvaluesuniversal kernel

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random matrices (algebraic aspects) (15B52) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (12)

On the deformed Pearcey determinant ⋮ Universal edge scaling in random partitions ⋮ Gap probability for the hard edge Pearcey process ⋮ Upper bounds for the maximum deviation of the Pearcey process ⋮ The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem ⋮ Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ Asymptotics of the Hard Edge Pearcey Determinant ⋮ On the generating function of the Pearcey process ⋮ On the gap probability of the tacnode process ⋮ Universal cusp scaling in random partitions ⋮ Unitary matrix models and random partitions: universality and multi-criticality

Uses Software

• DLMF

Cites Work

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