Results 11 to 20 of about 39,038 (168)
Strict doubly ergodic infinite transformations [PDF]
Dynamical Systems, 2017 There was an error in the example of Li Yorke Mixing but not EIC.
Loh, Isaac, Silva, Cesar E.
openaire +2 more sources
Entropy and Ergodicity of Boole-Type Transformations [PDF]
Entropy, 2021 We review some analytic, measure-theoretic and topological techniques for studying ergodicity and entropy of discrete dynamical systems, with a focus on Boole-type transformations and their generalizations. In particular, we present a new proof of the ergodicity of the 1-dimensional Boole map and prove that a certain 2-dimensional generalization is ...
Denis Blackmore +3 more
openaire +4 more sources
Ergodicity of avalanche transformations [PDF]
Dynamical Systems, 2014 In this paper, we study dynamical systems of product type and some particular inducing scheme motivated by neural dynamics (called avalanche transformation). We derive the distribution of avalanche sizes and give sufficient conditions such that the avalanche transformation is ergodic.
Denker, M, Rodrigues, A
openaire +2 more sources
On the Dependence of the Limit Functions on the Random Parameters in Random Ergodic Theorems
Abstract and Applied Analysis, 2013 We study the structure of the ergodic limit functions determined in random ergodic theorems. When the r random parameters are shifted by the -shift transformation with , the major finding is that the (random) ergodic limit functions determined in random ...
Takeshi Yoshimoto
doaj +1 more source
Random permutations and unique fully supported ergodicity for the Euler adic transformation [PDF]
, 2007 There is only one fully supported ergodic invariant probability measure for the adic transformation on the space of infinite paths in the graph that underlies the Eulerian numbers.
Frick, Sarah Bailey, Petersen, Karl
core +4 more sources
Enhanced Image Encryption Using Two Chaotic Maps
Journal of ICT Research and Applications, 2020 Information security is an important aspect in various communication areas, multimedia frameworks, medical imaging and militant communications. However, most of them encounter issues such as insufficient robustness or security.
Fatimah Abdulnabi Salman +1 more
doaj +1 more source
Ergodicity Space for Measure-Preserving Transformations [PDF]
Chinese 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
An Approach of Randomness of a Sample Based on Its Weak Ergodic Limit
Journal of Probability and Statistics, 2017 For a Polish Sample Space with a Borel σ-field with a surjective measurable transformation, we define an equivalence relation on sample points according to their ergodic limiting averages.
Jaime A. Londoño
doaj +1 more source
A Potential Reduction Algorithm for Two-person Zero-sum Mean Payoff Stochastic Games [PDF]
, 2015 We suggest a new algorithm for two-person zero-sum undiscounted stochastic games focusing on stationary strategies. Given a positive real $\epsilon$, let us call a stochastic game $\epsilon$-ergodic, if its values from any two initial positions differ by
Boros, Endre +3 more
core +2 more sources
A mixing dynamical system on the cantor set
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we give mixing properties (ergodic, weak-mixng and strong-mixing) to a dynamical system on the Cantor set by showing that the one-sided (12,12)-shift map is isomorphic to a measure preserving transformation defined on the Cantor ...
Jeong H. Kim
doaj +1 more source