Results 1 to 10 of about 14,640 (111)

Dynamics and Complexity of Computrons

Entropy, 2020
We investigate chaoticity and complexity of a binary general network automata of finite size with external input which we call a computron. As a generalization of cellular automata, computrons can have non-uniform cell rules, non-regular cell ...
Murat Erkurt
doaj   +1 more source

On MV-Algebraic Versions of the Strong Law of Large Numbers

Entropy, 2019
Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
doaj   +1 more source

Permutation Complexity and Coupling Measures in Hidden Markov Models [PDF]

, 2013
In [Haruna, T. and Nakajima, K., 2011. Physica D 240, 1370-1377], the authors introduced the duality between values (words) and orderings (permutations) as a basis to discuss the relationship between information theoretic measures for finite-alphabet ...
Amigó, Arnold, Ash, Cover, Dahlaus, Haruna, Horn, Kohei Nakajima, Kugiumtzis, Li, Seneta, Shaw, Taichi Haruna, Walters   +13 more
core   +6 more sources

Notes on nilspaces: algebraic aspects

Discrete Analysis, 2017
Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
doaj   +1 more source

Conditional ergodicity in infinite dimension

, 2014
The goal of this paper is to develop a general method to establish conditional ergodicity of infinite-dimensional Markov chains. Given a Markov chain in a product space, we aim to understand the ergodic properties of its conditional distributions given ...
Tong, Xin Thomson, van Handel, Ramon
core   +1 more source

Distributed ergodic control via coupled optimal transport flows

Franklin Open
We develop a distributed framework for shaping the stationary law of stochastic multi-agent systems under sparse communication. The design objective is to align the invariant joint distribution of the closed-loop network with a prescribed target measure ...
Ramen Ghosh
doaj   +1 more source

Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems

, 2019
We show that an $R^d$-topological dynamical system equipped with an invariant ergodic measure has discrete spectrum if and only it is $\mu$-mean equicontinuous (proven for $Z^d$ before).
García-Ramos, Felipe, Marcus, Brian
core   +1 more source

M\"obius disjointness for models of an ergodic system and beyond

, 2018
Given a topological dynamical system $(X,T)$ and an arithmetic function $\boldsymbol{u}\colon\mathbb{N}\to\mathbb{C}$, we study the strong MOMO property (relatively to $\boldsymbol{u}$) which is a strong version of $\boldsymbol{u}$-disjointness with all ...
Abdalaoui, El Houcein El, de la Rue, Thierry, Kułaga-Przymus, Joanna, Lemańczyk, Mariusz   +3 more
core   +3 more sources

Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties

, 2012
We report opposite statistical mechanical behaviors of the two major paradigms in which quantum correlation measures are defined, viz., the entanglement-separability paradigm and the information-theoretic one.
A. Sen(De), Aditi Sen(De), G. D. Mahan, J. S. Bell, M. A. Nielsen, R. Prabhu, Ujjwal Sen, W. H. Zurek   +7 more
core   +1 more source

Phase Transitions in Nonlinear Filtering

, 2014
It has been established under very general conditions that the ergodic properties of Markov processes are inherited by their conditional distributions given partial information.
Rebeschini, Patrick, van Handel, Ramon
core   +1 more source