Results 61 to 70 of about 32,369 (161)
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 +3 more
wiley +1 more source
Lax equations, factorization and Riemann–Hilbert problems
Portugaliae Mathematica, 2007 The paper deals with the problem of existence and calculation of solutions to Lax equations that define finite-dimensional integrable systems. The method presented in the paper is based on Wiener–Hopf factorization and related Riemann–Hilbert problems on Riemann surfaces. The idea behind the method was first proposed by Semenov–Tian–Shansky but, to the
Câmara, M. Cristina +2 more
openaire +2 more sources
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 +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
Partial Differential Equations in Applied MathematicsThe 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 +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 +2 more
wiley +1 more source
Riemann Hilbert problem for bi-orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and General, 2003 Two sequences of polynomials which are orthogonal to each other with respect to a two-dimensional measure are called bi-orthogonal polynomials \[ \int_R \int_R P_n(\lambda)Q_m(\xi) \,d\mu(\lambda,\xi) =\delta_{mn}. \] If the measure is given by \(d\mu(\lambda,\xi) =\exp(-V(\lambda)-W(\xi)+\lambda\xi)\,d\lambda \,d\xi\), then \(V(\lambda),W(\xi)\) are ...
openaire +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
Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
Annalen der Physik, Volume 538, Issue 1, January 2026.Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi +3 more
wiley +1 more source