Results 1 to 10 of about 58 (36)
Algebraic entropy of endomorphisms of M-sets [PDF]
Topological Algebra and its Applications, 2021 The usual notion of algebraic entropy associates to every group (monoid) endomorphism a value estimating the chaos created by the self-map. In this paper, we study the extension of this notion to arbitrary sets endowed with monoid actions, providing ...
Zava Nicolò
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On a notion of entropy in coarse geometry [PDF]
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
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On some dense sets in the space of dynamical systems
Advanced Nonlinear Studies, 2023 The natural consequence of the existence of different kinds of chaos is the study of their mutual dependence and the relationship between these concepts and the entropy of systems. This observation also applies to the local approach to this issue.
Pawlak Ryszard J., Poprawa Justyna
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Topological Algebra and its Applications, 2019 In this paper we review and explore the notion of topological entropy for continuous maps defined on non compact topological spaces which need not be metrizable. We survey the different notions, analyze their relationship and study their properties. Some
Cánovas Jose S.
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Complexities of information sources. [PDF]
J Appl Stat, 2023 Sayyari Y, Molaei MR, Mehrpooya A.
europepmc +1 more source
On Points Focusing Entropy. [PDF]
Entropy (Basel), 2018 Korczak-Kubiak E, Loranty A, Pawlak RJ.
europepmc +1 more source
Sparse Maximum-Entropy Random Graphs with a Given Power-Law Degree Distribution [PDF]
, 2017 Even though power-law or close-to-power-law degree distributions are ubiquitously observed in a great variety of large real networks, the mathematically satisfactory treatment of random power-law graphs satisfying basic statistical requirements of ...
Krioukov, Dmitri +2 more
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Derivation and study of dynamical models of dislocation densities [PDF]
, 2009 In this paper, starting from the microscopic dynamics of isolated dislocations, we explain how to derive formally mean field models for the dynamics of dislocation densities.
Hajj, Ahmad El +2 more
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Kac's chaos and Kac's program [PDF]
, 2013 In this note I present the main results about the quantitative and qualitative propagation of chaos for the Boltzmann-Kac system obtained in collaboration with C. Mouhot in \cite{MMinvent} which gives a possible answer to some questions formulated by Kac
Mischler, Stéphane
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Multi ping-pong and an entropy estimate in groups [PDF]
, 2018 We provide an entropy estimate from below for a finitely generated group of transformation of a compact metric space which contains a ping-pong game with several players located anywhere in the ...
Tarchała, Katarzyna, Walczak, Paweł
core +5 more sources