Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region

DOI10.1142/S0219530524500192zbMATH Open1543.60055MaRDI QIDQ6588244

Luming Yao, Dan Dai, Yu Zhai

Publication date: 15 August 2024

Published in: Analysis and Applications (Singapore) (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemtransition asymptoticsconfluent hypergeometric kernel

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
• The Widom--Dyson constant for the gap probability in random matrix theory
• Universality for eigenvalue correlations at the origin of the spectrum
• Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics
• Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols
• JT gravity and the ensembles of random matrix theory
• On the deformed Pearcey determinant
• Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system
• On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I
• Asymptotics of Fredholm determinant associated with the Pearcey kernel
• Determinantal random point fields
• From gap probabilities in random matrix theory to eigenvalue expansions
• Asymptotics for a Determinant with a Confluent Hypergeometric Kernel
• An Introduction to Random Matrices
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix
• The sine process under the influence of a varying potential
• Gap probability for the hard edge Pearcey process
• Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel
• Asymptotics of the Hard Edge Pearcey Determinant

This page was built for publication: Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6588244)