Results 21 to 30 of about 43,365 (195)

Two dimensional kicked quantum Ising model: dynamical phase transitions

open access: yesNew Journal of Physics, 2014
Using an efficient one and two qubit gate simulator operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin $1/2$ model on a two-dimensional lattice, which is periodically driven by a δ -pulsed transverse ...
C Pineda, T Prosen, E Villaseñor
doaj   +1 more source

On the specification property and synchronisation of unique $q$-expansions

open access: yes, 2020
Given a positive integer $M$ and $q \in (1, M+1]$ we consider expansions in base $q$ for real numbers $x \in \left[0, {M}/{q-1}\right]$ over the alphabet $\{0, \ldots, M\}$.
Barrera, Rafael Alcaraz
core   +1 more source

Statistical performance of local attractor dimension estimators in non-Axiom A dynamical systems.

open access: yesChaos, 2023
We investigate various estimators based on extreme value theory (EVT) for determining the local fractal dimension of chaotic dynamical systems. In the limit of an infinitely long time series of an ergodic system, the average of the local fractal ...
F. Pons, G. Messori, Davide Faranda
semanticscholar   +1 more source

Multiple recurrence and large intersections for abelian group actions

open access: yesDiscrete Analysis, 2021
Multiple recurrence and large intersections for abelian group actions, Discrete Analysis 2021:18, 91 pp. In 1975, Szemerédi proved his famous theorem that asserts that for every positive integer $k$ and every $\delta>0$ there exists $n$ such that every ...
Ethan Ackelsberg   +2 more
doaj   +1 more source

Andrzej Lasota's selected results [PDF]

open access: yesOpuscula Mathematica, 2008
In this article we recall Andrzej Lasota's selected results which either indicated new directions of research, or layed the foundations for new approaches, or solved interesting problems. The area of mathematical interests of Professor Andrzej Lasota was
Józef Myjak
doaj  

A Brief Review of Generalized Entropies

open access: yesEntropy, 2018
Entropy appears in many contexts (thermodynamics, statistical mechanics, information theory, measure-preserving dynamical systems, topological dynamics, etc.) as a measure of different properties (energy that cannot produce work, disorder, uncertainty ...
José M. Amigó   +2 more
doaj   +1 more source

Towards a theory of mind

open access: yesDiscrete Dynamics in Nature and Society, 1999
The language of nonlinear dynamical systems and ergodic theory is used to present a theoretical framework for the study of mind. The basic space X consists of the collection of all brain images (clusters of activated neurons) that are relevant to ...
Abraham Boyarsky
doaj   +1 more source

Dynamical versus diffraction spectrum for structures with finite local complexity [PDF]

open access: yes, 2014
It is well-known that the dynamical spectrum of an ergodic measure dynamical system is related to the diffraction measure of a typical element of the system.
Aernout   +3 more
core   +3 more sources

Topological Wiener-Wintner theorems for amenable operator semigroups

open access: yes, 2013
Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets.
Schreiber, Marco
core   +1 more source

Weak Specification Properties and Large Deviations for Non-additive Potentials

open access: yes, 2013
We obtain large deviation bounds for the measure of deviation sets associated to asymptotically additive and sub-additive potentials under some weak specification properties.
Blokh   +11 more
core   +1 more source

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