Results 51 to 60 of about 14,965,840 (158)

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

Riemann-Hilbert approach for the integrable nonlocal nonlinear Schr\"odinger equation with step-like initial data

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2018
We study the Cauchy problem for the integrable nonlocal nonlinear Schr\"odinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0 \] with a step-like initial data: $q(x,0)=o(1)$ as $x\to-\infty$ and $q(x,0)=A+o(1)$ as $x\to\infty ...
Ya. Rybalko, D. G. Shepelsky
doaj  

Leading Order Temporal Asymptotics of the Modified Non-Linear Schrodinger Equation: Solitonless Sector

, 1997
Using the matrix Riemann-Hilbert factorisation approach for non-linear evolution equations (NLEEs) integrable in the sense of the inverse scattering method, we obtain, in the solitonless sector, the leading-order asymptotics as $t$ tends to plus and ...
, A H Vartanian, A V Kitaev, Ablowitz M J, Ablowitz M J, Agrawal G P, Agrawal G P, Beals R, Beals R, Bikbaev R F, Bikbaev R F, Chbat M W, Chen Z, Deift P, Eichhorn H, Faddeev L D, Gerdzhikov V S, Gordon J P, Gradshteyn I S, Hasegawa A, Hayashi N, Its A R, Kaup D J, Kitaev A V, Kodama Y, Kodama Y, Lee J-H, Lundquist P B, Manakov S V, Mitschke F M, Murray J D, Nijhof J H B, Novikov S P, Rybin A, Schuur P C, Segur H, Segur H, Taylor J R, Vartanian A H, Vysloukh V A, Wadati M, Zakharov V E, Zakharov V E, Zhou X, Zhou X   +44 more
core   +1 more source

Riemann-Hilbert approach and double-pole solutions for the third-order flow equation of DNLS-type equation with nonzero boundary conditions

Physica Scripta
In this paper, the Riemann-Hilbert approach is applied to study a third-order flow equation of derivative nonlinear Schrödinger-type equation with nonzero boundary conditions.
Yue Qin, Yehui Huang, Yuqin Yao, Juan Zhang   +3 more
semanticscholar   +1 more source

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

Distribution of the first particle in discrete orthogonal polynomial ensembles

, 2002
We show that the distribution function of the first particle in a discrete orthogonal polynomial ensemble can be obtained through a certain recurrence procedure, if the (difference or q-) log-derivative of the weight function is rational.
Borodin, Alexei, Boyarchenko, Dmitriy
core   +1 more source

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

Survival on Image Regression With Application to Partially Functional Distributional Representation of Physical Activity

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 1, February 2026.
ABSTRACT Technological advancements in wearable devices and medical imaging often lead to high‐dimensional physiological signals in the form of images or surfaces. To address these data structures, we develop a novel survival on image regression model with a specific focus on partially functional distributional representation of wearable data.
Rahul Ghosal, Sunwoo Emma Cho, Marcos Matabuena   +2 more
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

Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

Symmetry, Integrability and Geometry: Methods and Applications, 2008
New reductions for the multicomponent modified Korteweg-de Vries (MMKdV) equations on the symmetric spaces of {f DIII}-type are derived using the approach based on the reduction group introduced by A.V. Mikhailov.
Nikolay A. Kostov, Vladimir S. Gerdjikov
doaj   +1 more source