Results 11 to 20 of about 733 (210)

A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem.
Khatibzadeh Hadi, Pouladi Hadi
doaj   +1 more source

Some remarks on Cesaro summability in neutrosophic normed spaces [PDF]

Neutrosophic Sets and Systems, 2023
In this paper, we define the notion of a generalized summability, called Ces`aro summability in neutrosophic normed spaces (briefly NNS). We obtain conditions under which ordinary summability follows from Cesaro summability. Later, we define a concept of
Vijay Kumar, Archana Sharma, Meenakshi Chawla   +2 more
doaj   +1 more source

The stationary AKPZ equation: Logarithmic superdiffusivity

Communications on Pure and Applied Mathematics, Volume 76, Issue 11, Page 3044-3103, November 2023., 2023
Abstract We study the two‐dimensional Anisotropic KPZ equation (AKPZ) formally given by ∂tH=12ΔH+λ((∂1H)2−(∂2H)2)+ξ,$$\begin{equation*} \hspace*{3.4pc}\partial _t H=\frac{1}{2}\Delta H+\lambda ((\partial _1 H)^2-(\partial _2 H)^2)+\xi , \end{equation*}$$where ξ is a space‐time white noise and λ is a strictly positive constant.
Giuseppe Cannizzaro, Dirk Erhard, Fabio Toninelli   +2 more
wiley   +1 more source

On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform

Studies in Applied Mathematics, Volume 151, Issue 2, Page 555-584, August 2023., 2023
Abstract We describe the low‐temperature optical conductivity as a function of frequency for a quantum‐mechanical system of electrons that hop along a polymer chain. To this end, we invoke the Su–Schrieffer–Heeger tight‐binding Hamiltonian for noninteracting spinless electrons on a one‐dimensional (1D) lattice.
Dionisios Margetis, Alexander B. Watson, Mitchell Luskin   +2 more
wiley   +1 more source

Continuous‐time multi‐type Ehrenfest model and related Ornstein–Uhlenbeck diffusion on a star graph

Mathematical Methods in the Applied Sciences, Volume 45, Issue 9, Page 5483-5512, June 2022., 2022
We deal with a continuous‐time Ehrenfest model defined over an extended star graph, defined as a lattice formed by the integers of d semiaxis joined at the origin. The dynamics on each ray are regulated by linear transition rates, whereas the switching among rays at the origin occurs according to a general stochastic matrix.
Antonio Di Crescenzo, Barbara Martinucci, Serena Spina   +2 more
wiley   +1 more source

Sobre el Teorema Tauberiano de W. Rudin

Revista de Matemática: Teoría y Aplicaciones, 2012
Using W. Rudin’s method it is shown that the tauberian theorem can be generalized to several kernels other than the Poisson kernel. We also proof an inverse of the tauberian theorem, that is, an abelian theorem.
Marielos Mora
doaj   +1 more source

An application of results by Hardy, Ramanujan and Karamata to Ackermannian functions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2003
The Ackermann function is a fascinating and well studied paradigm for a function which eventually dominates all primitive recursive functions. By a classical result from the theory of recursive functions it is known that the Ackermann function can be
Andreas Weiermann
doaj   +2 more sources

Converse Theorems for the Cesàro Summability of Improper Integrals

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability.
Sefa Anıl Sezer, Rahmet Savaş
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For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering

Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2025-2063, October 2021., 2021
It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity. In this paper we show that, even in the presence of the strongest possible trapping, if a set of frequencies of arbitrarily small ...
David Lafontaine, Euan A. Spence, Jared Wunsch   +2 more
wiley   +1 more source

Generalization of the effective Wiener-Ikehara theorem [PDF]

, 2013
International audienceWe consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform.
Roton, Anne de, de Roton, Anne, Révész, Szilárd   +2 more
core   +1 more source