Results 71 to 80 of about 26,140 (200)

Universality for eigenvalue correlations at the origin of the spectrum

, 2003
We establish universality of local eigenvalue correlations in unitary random matrix ensembles (1/Z_n) |\det M|^{2\alpha} e^{-n\tr V(M)} dM near the origin of the spectrum.
Kuijlaars, A. B. J., Vanlessen, M.
core   +3 more sources

The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
wiley   +1 more source

Counting integral points on symmetric varieties with applications to arithmetic statistics

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar, Artane Siad, Ashvin A. Swaminathan   +2 more
wiley   +1 more source

High order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets

, 2012
We study monic polynomials $Q_n(x)$ generated by a high order three-term recursion $xQ_n(x)=Q_{n+1}(x)+a_{n-p} Q_{n-p}(x)$ with arbitrary $p\geq 1$ and $a_n>0$ for all $n$. The recursion is encoded by a two-diagonal Hessenberg operator $H$.
Delvaux, Steven, García, Abey López
core  

Hermite solution for a new fractional inverse differential problem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj, Abdelaziz Mennouni, Carlo Cattani   +2 more
wiley   +1 more source

Conformal Mappings and Dispersionless Toda hierarchy

, 2009
Let $\mathfrak{D}$ be the space consists of pairs $(f,g)$, where $f$ is a univalent function on the unit disc with $f(0)=0$, $g$ is a univalent function on the exterior of the unit disc with $g(\infty)=\infty$ and $f'(0)g'(\infty)=1$. In this article, we
A. Boyarsky, A. Marshakov, A.A. Kirillov, A.A. Kirillov, A.V. Zabrodin, A.V. Zabrodin, B. Konopelchenko, B. Konopelchenko, B. Konopelchenko, D. Crowdy, D. Prokhorov, F.P. Gardiner, I. Krichever, I.K. Kostov, K. Takasaki, K. Takasaki, K. Takasaki, L.A. Takhtajan, L.M. Alonso, L.M. Alonso, L.M. Alonso, L.M. Alonso, L.P. Teo, L.P. Teo, Lee-Peng Teo, M. Bauer, O. Lehto, P.B. Wiegmann, P.L. Duren   +28 more
core   +2 more sources

Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch, Ádám Gyenge, Balázs Szendrői   +2 more
wiley   +1 more source

Effective inverse spectral problem for rational Lax matrices and applications

, 2007
We reconstruct a rational Lax matrix of size R+1 from its spectral curve (the desingularization of the characteristic polynomial) and some additional data.
Adams, Adams, Belokolos, Bertola, Bertola, Bertola, Bertola, Bertola, Bertola, Cherednik, Deift, Dubrovin, Dubrovin, Eynard, Fay, Grinevich, Haine, Jimbo, Korotkin, Krichever, Krichever, Krichever, Krichever, Krichever, Krichever, M. Bertola, M. Gekhtman, Mehta, Olshanetsky, Szegö, van Moerbeke   +30 more
core   +1 more source

An Algebraic Approach to Light–Matter Interactions

Advanced Physics Research, Volume 4, Issue 1, January 2025.
This is a review of an algebraic approach to light–matter interactions that is theoretically powerful and computationally friendly. Theoretical expressions can be developed and manipulated conveniently thanks to the generality of the basis on which the approach rests, and a compact notation.
Ivan Fernandez‐Corbaton
wiley   +1 more source

Error Estimation for the Riemann–Hilbert Problem Averaging for a System of n Generalized Beltrami Equations [PDF]

, 2023
M.L. Amaeva
openalex   +1 more source