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Existence and non-existence of solutions to the coboundary equation for measure-preserving systems

open access: yesErgodic Theory and Dynamical Systems, 2022
A fundamental question in the field of cohomology of dynamical systems is to determine when there are solutions to the coboundary equation: $$ \begin{align*} f = g - g \circ T.
T. Adams, J. Rosenblatt
semanticscholar   +1 more source

Generating the full transformation semigroup using order preserving mappings [PDF]

open access: yes, 2003
For a linearly ordered set X we consider the relative rank of the semigroup of all order preserving mappings O-X on X modulo the full transformation semigroup Ex. In other words, we ask what is the smallest cardinality of a set A of mappings such that =
Higgins, PM   +2 more
core   +1 more source

Measure-preserving rank one transformations [PDF]

open access: yes, 2020
Rank one transformations serve as a source of examples in ergodic theory, showing variety of algebraic, asymptotic and spectral properties of dynamical systems.
V. Ryzhikov
semanticscholar   +1 more source

Ergodicity Space for Measure-Preserving Transformations [PDF]

open access: yesChinese Journal of Mathematics, 2016
We introduce the concept of ergodicity space of a measure-preserving transformation and will present some of its properties as an algebraic weight for measuring the size of the ergodicity of a measure-preserving transformation. We will also prove the invariance of the ergodicity space under conjugacy of dynamical systems.
M. Rahimi, A. Assari
openaire   +2 more sources

Infinite measure preserving transformations with Radon MSJ [PDF]

open access: yesIsrael Journal of Mathematics, 2018
Final, slightly corrected, version, to appear in Isr.
A. I. Danilenko
semanticscholar   +3 more sources

Logical entropy of dynamical systems

open access: yesAdvances in Difference Equations, 2018
The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová   +2 more
doaj   +1 more source

Block-Deep: A Hybrid Secure Data Storage and Diagnosis Model for Bone Fracture Identification of Athlete From X-Ray and MRI Images

open access: yesIEEE Access, 2023
A human adult’s skeleton is made up of 206 bones that perform a variety of vital biological tasks like safeguarding the internal organs and preserving vital nutrients.
Farah Mohammad   +2 more
doaj   +1 more source

A Strategic Look at thriving at work: Identifying antecedents in the Employees of the General Department of Taxation [PDF]

open access: yesمطالعات مدیریت راهبردی, 2022
Aim and introduction: A strategic look at the thiriving of the employees is important and necessary, and on the other hand, the thriving of the organization in this era depends on the capabilities of the employees.
Abbas ali Rastgar   +2 more
doaj   +1 more source

Sublinear functionals ergodicity and finite invariant measures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
By introducing a sublinear functional involving infinite matrices, we establish its connection with ergodicity and measure preserving transformation. Further, we characterize the existence of a finite invariant measure by means of a condition involving ...
G. Das, B. K. Patel
doaj   +1 more source

Table of Contents

open access: yes, 2022
Table of ...
The Measure
core   +1 more source

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