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Long-range dependent random fields with spectral densities which are unbounded at some frequencies are investigated. We demonstrate new examples of covariance functions which do not exhibit regular varying asymptotic behaviour at infinity.…

Probability · Mathematics 2013-07-15 Boris Klykavka , Andriy Olenko , Matthew Vicendese

Continuing from a companion article: 'Random walks and contracting elements I: Deviation inequality and limit laws', we study random walks on metric spaces with contracting elements. We prove that random subgroups of the isometry group of a…

Probability · Mathematics 2025-10-21 Inhyeok Choi

The Computation of discrete Contractive semigroups becomes necessary when we deal with several types of evolution equations in Discretizable Hilbert spaces, in this work we study some properties of the discrete forms of the contractive…

Numerical Analysis · Mathematics 2010-12-24 Fredy Vides

Norm estimates for strongly continuous semigroups have been successfully studied in numerous settings, but at the moment there are no corresponding studies in the case of solution operators of singular integral equations. Such equations…

Functional Analysis · Mathematics 2020-12-22 Tiffany Frugé Jones , Joshua Lee Padgett , Qin Sheng

We investigate translation actions of countable dense subgroups of non-unimodular locally compact second countable (lcsc) groups. Using left-right actions, we show that the left translation action $\Gamma \curvearrowright G$ given by a…

Dynamical Systems · Mathematics 2026-04-01 Fehmi Ekin Giritlioglu

For quasifields, the concept of parastrophy is slightly weaker than isotopy. Parastrophic quasifields yield isomorphic translation planes but not conversely. We investigate the right multiplication groups of finite quasifields. We classify…

Combinatorics · Mathematics 2019-09-10 Gábor P. Nagy

Let $G=\left\langle S|R_{A}\right\rangle $ be a semigroup with generating set $ S$ and equivalences $R_{A}$ among $S$ determined by a matrix $A$. This paper investigates the complexity of $G$-shift spaces by yielding the topological…

Dynamical Systems · Mathematics 2018-08-16 J. C. Ban , C. H. Chang , Y. Z. Huang

We determine exact exponential asymptotics of eigenfunctions and of corresponding transfer matrices of the almost Mathieu operators for all frequencies in the localization regime. This uncovers a universal structure in their behavior,…

Mathematical Physics · Physics 2017-12-12 Svetlana Jitomirskaya , Wencai Liu

In this paper we present a complete description of a stochastic semigroup of finite-dimensional projections in Hilbert space. The geometry of such semigroups is characterized by the asymptotic behavior of the widths of compact subsets with…

Probability · Mathematics 2010-09-22 Andrey A. Dorogovtsev

In this paper we study the separately continuous actions of semitopological monoids on pseudocompact spaces. The main aim of this paper is to generalize Lawson's results to some class of pseudocompact spaces. Also, we introduce a concept of…

General Topology · Mathematics 2023-11-14 Alexander V. Osipov , Konstantin Kazachenko

In this paper, we study and classify singular minimal translation surfaces in a Euclidean space of dimension 3 endowed with a certain semi-symmetric (non-)metric connection.

Differential Geometry · Mathematics 2020-11-02 Ayla Erdur , Muhittin Evren Aydin , Mahmut Ergut

Our main goal in this paper is to investigate the (q-)exponential $C$-distribution semigroups and (q-)exponential $C$-ultradistribution semigroups in the setting of sequentially complete locally convex spaces. We contribute to previous work…

Functional Analysis · Mathematics 2016-10-11 Marko Kosti\' c , Stevan Pilipovi\' c , Daniel Velinov

These are the notes of a lecture given at the university of Wroclaw in 1996. We present results of semigroups of (sub)positive contractions on L^p-spaces. The dilation theorem of Akcoglue and sucheston is considered as a starting point. We…

Functional Analysis · Mathematics 2012-02-27 Gero Fendler

Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs which are not trees, e.g., the lattice graphs, and study…

Functional Analysis · Mathematics 2024-09-10 Anton Baranov , Andrei Lishanskii , Dimitris Papathanasiou

In this paper, we provide complete characterizations for the spectrum, essential spectrum, and point spectrum of the generators of weighted composition $C_0$-semigroups induced by hyperbolic semiflows on Bergman spaces. We give an explicit…

Functional Analysis · Mathematics 2026-05-22 Yong-Xin Gao , Ze-Hua Zhou

We investigate dynamical properties such as topological transitivity, (sequential) hypercyclicity, and chaos for backward shift operators associated to a Schauder basis on LF-spaces. As an application, we characterize these dynamical…

Functional Analysis · Mathematics 2024-03-08 José Bonet , Thomas Kalmes , Alfred Peris

We prove the spaceability of the set of hypercyclic vectors for {\em shifts-like operators}. Shift-like operators appear naturally as composition operators on $L^p(X)$, when the underlying space $X$ is dissipative. In the process of proving…

Functional Analysis · Mathematics 2023-09-06 Emma D'Aniello , Martina Maiuriello

Let $\{T(t)\}_{t\geq0}$ be a $C_0$-semigroup on an infinite dimensional separable Hilbert space; a suitable definition of near $\{T(t)^*\}_{t\geq0}$ invariance of a subspace is presented in this paper. A series of prototypical examples for…

Functional Analysis · Mathematics 2020-12-22 Yuxia Liang , Jonathan R. Partington

In this article we develop a general technique which takes a known characterization of a property for weighted backward shifts and lifts it up to a characterization of that property for a large class of operators on $L^p(X)$. We call these…

Dynamical Systems · Mathematics 2022-06-08 Emma D'Aniello , Udayan B. Darji , Martina Maiuriello

The study of word hyperbolic groups is a prominent topic in geometric group theory; however word hyperbolic groups are defined by a geometric condition which does not extend naturally to semigroups. We propose a linguistic definition.…

Group Theory · Mathematics 2007-05-23 Andrew Duncan , Robert H. Gilman