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This paper considers the problem of defining distributions over graphical structures. We propose an extension of the hyper Markov properties of Dawid and Lauritzen [Ann. Statist. 21 (1993) 1272-1317], which we term structural Markov…

Statistics Theory · Mathematics 2020-04-28 Simon Byrne , A. Philip Dawid

In this paper we study the liftability property for piecewise continuous maps of compact metric spaces, which admit inducing schemes in the sense of Pesin and Senti [PS05, PS06]. We show that under some natural assumptions on the inducing…

Dynamical Systems · Mathematics 2014-03-13 Yakov Pesin , Samuel Senti , Ke Zhang

Let X be a smooth irreducible projective surface. The aim of this paper is to establish a version of Clifford's theorem for coherent systems on X.

Algebraic Geometry · Mathematics 2024-08-02 L. Costa , I. Macías Tarrío , L. Roa-Leguizamón

In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this…

General Topology · Mathematics 2013-03-26 Maher Berzig , Mircea-Dan Rus

In this paper, we propose a model for large scale fading channels via markov process. We exploit the channel delay profile and the dependency between channel states via a first order autoregressive model that cast insight to the channel…

Information Theory · Computer Science 2023-04-27 Samah A. M. Ghanem

It is shown that a Yang-Baxter system can be constructed from any entwining structure. It is also shown that, conversely, Yang-Baxter systems of certain type lead to entwining structures. Examples of Yang-Baxter systems associated to…

Quantum Algebra · Mathematics 2007-05-23 Tomasz Brzezinski , Florin F. Nichita

Reactivity, contractivity, and Lyapunov exponents are powerful tools for studying the stability properties of dynamical systems and have been extensively investigated in the literature for decades. In this paper, we review and extend the…

Dynamical Systems · Mathematics 2025-05-23 Amirhossein Nazerian , Francesco Sorrentino , Zahra Aminzare

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

General Topology · Mathematics 2016-10-05 Hassen Aydi

We study the structure of quantum Markov Processes from the point of view of product systems and their representations.

Operator Algebras · Mathematics 2007-05-23 Paul S. Muhly , Baruch Solel

We develop the theory of momentum map for the Maxwell-Lorentz equations with spinning extended charged particle. This theory is indispensable for the study of long-time behaviour and radiation of the solitons of this system. The development…

Mathematical Physics · Physics 2023-04-18 Alexander Komech , Elena Kopylova

Most of the implicit contractions introduced by Wardowski [Fixed Point Th. Appl., 2012, 2012:94] are Matkowski type contractions.

General Topology · Mathematics 2013-09-17 Mihai Turinici

We have developed a steady state theory of complex transport networks used to model the flow of commodity, information, viruses, opinions, or traffic. Our approach is based on the use of the Markov chains defined on the graph…

Physics and Society · Physics 2009-11-13 D. Volchenkov , Ph. Blanchard

In this article we study the expanding properties of random perturbations of contracting Lorenz maps satisfying the summability condition of exponent 1. Under general conditions on the maps and perturbation types, we prove stochastic…

Dynamical Systems · Mathematics 2026-04-10 Haoyang Ji

In this present article, we get sufficient conditions for the existence and uniqueness of fixed points and common fixed points for single and double mapping satisfying various contractive conditions within the partially ordered…

General Mathematics · Mathematics 2017-05-29 Meltem Kaya , Hasan Furkan

We report on the progress in constructing contracted one-loop tensors. Analytic results for rank R=4 tensors, cross-checked numerically, are presented for the first time.

High Energy Physics - Phenomenology · Physics 2013-11-12 Andrea A. Almasy , Ievgen Dubovyk , J. Gluza , T. Riemann

In this paper, we study some features of n-normed spaces with respect to norms of its quotient spaces. We define continuous functions with respect to the norms of its quotient spaces and show that all types of continuity are equivalent. We…

Functional Analysis · Mathematics 2019-04-02 Harmanus Batkunde , Hendra Gunawan

We will outline novel approaches to derive model invariants for hidden Markov and related models. These approaches are based on a theoretical framework that arises from viewing random processes as elements of the vector space of string…

Statistics Theory · Mathematics 2009-02-08 Alexander Schoenhuth

We study the Markovianity of a composite system and its subsystems. We show how the dissipative nature of a subsystem's dynamics can be modified without having to change properties of the composite system environment. By preparing different…

Quantum Physics · Physics 2015-08-13 Frederico Brito , Thiago Werlang

The main result of this paper states that for a given countable system of data, there exists a countable iterated function system consisting of Rakotch contractions, such that its attractor is the graph of a fractal interpolation function…

Dynamical Systems · Mathematics 2021-07-20 Cristina Maria Pacurar

We extend the Markov chain tree theorem to general commutative semirings, and we generalize the state reduction algorithm to commutative semifields. This leads to a new universal algorithm, whose prototype is the state reduction algorithm…

Combinatorics · Mathematics 2022-07-11 Buket Benek Gursoy , Steve Kirkland , Oliver Mason , Sergei Sergeev