Results 31 to 40 of about 357 (99)

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

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

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

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

Dissipative energy functionals of passive linear time‐varying systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley   +1 more source

Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle

Partial Differential Equations in Applied Mathematics
The modified Helmholtz equation qxx+qyy−4β2q=0, is one of the basic equations of classical mathematical physics. In this paper we have obtained the solution of the boundary-value problems for the modified Helmholtz equation in an equilateral triangle. An
Pratul Gadagkar, Subhash Kendre, Pooja Paratane   +2 more
doaj   +1 more source

Universality for fluctuations of counting statistics of random normal matrices

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo, Leslie Molag, Joaquim Ortega‐Cerdà   +2 more
wiley   +1 more source

Explicit solution of a class of Riemann-Hilbert problems

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2009
Analytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented. The solutions are written, up to a finite number of accessory parameters, as non-singular indefinite integrals whose ...
Darren Crowdy
doaj