Results 51 to 60 of about 32,369 (161)

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach

, 2002
We prove that general correlation functions of both ratios and products of characteristic polynomials of Hermitian random matrices are governed by integrable kernels of three different types: a) those constructed from orthogonal polynomials; b ...
Andreev, Balantekin, Basor, Bleher, Brézin, Brézin, Deift, Deift, Deift, Deift, Eugene Strahov, Fokas, Fokas, Forrester, Forrester, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Gonek, Hughes, Hughes, Its, Johansson, Kanzieper, Keating, Mehta, Mirlin, Nonnenmacher, Splittorff, Tracy, Tracy, Tracy, Yan V. Fyodorov   +37 more
core   +1 more source

On a new approach to the study of plane boundary-value problems

Доповiдi Нацiональної академiї наук України
We give a short description of our recent results obtained by a new approach to the boundary-value problems, such as the Dirichlet, Hilbert, Neumann, Poincaré and Riemann problems, for the Beltrami equations and for analogs of the Laplace equation in ...
V.Ya. Gutlyanskiĭ, V.I. Ryazanov, A.S. Yefimushkin   +2 more
doaj   +1 more source

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type

, 2001
We study the Cauchy problem for the Korteweg de Vries (KdV) equation with small dispersion and with monotonically increasing initial data using the Riemann-Hilbert (RH) approach.
?abat, Beals, Bender, Cohen, Deift, Deift, Deift, Dubrovin, Dubrovin, El, El, Fay, Flaschka, Grava, Grava, Gurevich, Gurevich, Kappeler, Krichever, Kudashev, Kuijlaars, Lax, Levermore, Muskhelishvili, Springer, Tian, Tian, Tsarëv, Venakides, Venakides, Whitham, Zverovich   +31 more
core   +1 more source

Logarithmic capacity and Riemann and Hilbert problems for generalized analytic functions

Доповiдi Нацiональної академiї наук України
The study of the Dirichlet problem with arbitrary measurable boundary data for harmonic functions in the unit disk is due to the famous Luzin dissertation.
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin   +3 more
doaj   +1 more source

Discrete analogues of second‐order Riesz transforms

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley   +1 more source

On the Distribution of the Length of the Longest Increasing Subsequence of Random Permutations [PDF]

, 1999
The authors consider the length, $l_N$, of the length of the longest increasing subsequence of a random permutation of $N$ numbers. The main result in this paper is a proof that the distribution function for $l_N$, suitably centered and scaled, converges
Baik, Jinho, Deift, Percy, Johansson, Kurt   +2 more
core   +3 more sources

Riemann–Hilbert problems from Donaldson–Thomas theory [PDF]

Inventiones mathematicae, 2018
We study a class of Riemann-Hilbert problems arising naturally in Donaldson-Thomas theory. In certain special cases we show that these problems have unique solutions which can be written explicitly as products of gamma functions. We briefly explain connections with Gromov-Witten theory and exact WKB analysis.
openaire   +4 more sources

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source