Results 51 to 60 of about 3,271,458 (133)

V_a-Deformed Free Convolution

Mathematics
In this article, we study Va-transformation of a measure and of a convolution (denoted by a) defined for a∈R. We provide significant insights into the stability of the free Meixner family of probability measures under Va-transformation.
Fahad Alsharari, Raouf Fakhfakh
doaj   +1 more source

Spectral Decomposition of the Weinstein Laplacian and Its Application to the Associated Heat Transform

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
For the Weinstein Laplacian considered on the Hilbert space which makes it a self‐adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved that the spectrum of the semigroup associated with the Weinstein Laplacian is reduced to its ...
Abdelilah El Mourni, Nour Eddine Askour, Imane El Yazidi, Muhammad Ahsan   +3 more
wiley   +1 more source

r-Free Convolution and Variance Function

Axioms
The concept of r-free convolution (which is represented by r) was introduced for 0≤r≤1. It is equal to the Boolean additive convolution ⊎ if r=0 and reduced to the free additive convolution ⊞ when r=1.
Shokrya S. Alshqaq, Raouf Fakhfakh, Fatimah Alshahrani   +2 more
doaj   +1 more source

On the fractional Laplacian of a function with respect to another function

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.
The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez, Joel E. Restrepo, Jean‐Daniel Djida   +2 more
wiley   +1 more source

Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices

Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3785-3840, September 2024.
Abstract We consider N×N$N\times N$ non‐Hermitian random matrices of the form X+A$X+A$, where A$A$ is a general deterministic matrix and NX$\sqrt {N}X$ consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, that is, that the local density of eigenvalues is bounded by N1+o(
László Erdős, Hong Chang Ji
wiley   +1 more source

Local limits in p$p$‐adic random matrix theory

Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.
Abstract We study the distribution of singular numbers of products of certain classes of p$p$‐adic random matrices, as both the matrix size and number of products go to ∞$\infty$ simultaneously. In this limit, we prove convergence of the local statistics to a new random point configuration on Z$\mathbb {Z}$, defined explicitly in terms of certain ...
Roger Van Peski
wiley   +1 more source

A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications [PDF]

, 2007
A new sharp bound of the Čebyšev functional for the Riemann- Stieltjes integral is obtained.
Dragomir, Sever S
core   +1 more source

Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

Mathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.
Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
wiley   +1 more source

The Virtue of Complexity in Return Prediction

The Journal of Finance, Volume 79, Issue 1, Page 459-503, February 2024.
ABSTRACT Much of the extant literature predicts market returns with “simple” models that use only a few parameters. Contrary to conventional wisdom, we theoretically prove that simple models severely understate return predictability compared to “complex” models in which the number of parameters exceeds the number of observations.
BRYAN KELLY, SEMYON MALAMUD, KANGYING ZHOU   +2 more
wiley   +1 more source

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age‐structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Victor Kovtunenko
wiley   +1 more source