Results 51 to 60 of about 94,442 (230)

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

Multi-solitons in the model of an inhomogeneous optical fiber

AIMS Mathematics
This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients.
Jinfang Li, Chunjiang Wang, Li Zhang, Jian Zhang   +3 more
doaj   +1 more source

Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures

, 2006
We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multi-channel) Fermi gases.
Bernd Braunecker, F. G. Fumi, G. D. Mahan, N. I. Muskhelishvili, N. P. Vekua, R. Estrada   +5 more
core   +1 more source

Riemann-Hilbert Problems for Multiple Orthogonal Polynomials [PDF]

, 2001
In the early nineties, Fokas, Its and Kitaev observed that there is a natural Riemann-Hilbert problem (for 2 x×2 matrix functions) associated with a system of orthogonal polynomials. This Riemann-Hilbert problem was later used by Deift et al. and Bleher and Its to obtain interesting results on orthogonal polynomials, in particular strong asymptotics ...
Van Assche, Walter, Geronimo, Jeffrey S., Kuijlaars, Arno   +2 more
openaire   +2 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

TBA equations and resurgent Quantum Mechanics

Journal of High Energy Physics, 2019
We derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE/IM correspondence, and they can be regarded as the solution
Katsushi Ito, Marcos Mariño, Hongfei Shu   +2 more
doaj   +1 more source

Large n limit of Gaussian random matrices with external source, part I

, 2004
We consider the random matrix ensemble with an external source \[ \frac{1}{Z_n} e^{-n \Tr({1/2}M^2 -AM)} dM \] defined on $n\times n$ Hermitian matrices, where $A$ is a diagonal matrix with only two eigenvalues $\pm a$ of equal multiplicity. For the case
Aptekarev, Aptekarev, Assche, Bleher, Bleher, Bleher, Brézin, Brézin, Brézin, Brézin, Brézin, Deift, Deift, Deift, Dyson, Kuijlaars, Nuttall, Pastur, Zinn-Justin, Zinn-Justin   +19 more
core   +1 more source

Riemann-Hilbert problems with constraints

Proceedings of the American Mathematical Society, 2019
This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in terms of certain indices. As an application, we show how such results may be used to construct analytic discs attached to singular manifolds.
Bertrand, Florian, Della Sala, Giuseppe
openaire   +3 more sources

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

The inhomogeneous complex partial differential equations for bi-polyanalytic functions

AIMS Mathematics
In this paper, we study a Riemann-Hilbert problem related to inhomogeneous complex partial differential operators of higher order on the unit disk. Applying the Cauchy-Pompeiu formula, we find out the solvable conditions and obtain the representation of ...
Yanyan Cui, Chaojun Wang
doaj   +1 more source