On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities
DOI10.1016/j.physd.2024.134101zbMath1541.37072MaRDI QIDQ6545992
Yu-Qiu Zhao, Shu-Quan Zhao, Shuai-Xia Xu
Publication date: 29 May 2024
Published in: Physica D (Search for Journal in Brave)
asymptotic expansionFredholm determinantRiemann-Hilbert approachconfluent hypergeometric kernelcoupled Painlevé V system
Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65) Spectral theory for ordinary differential operators in the complex domain (34M46)
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