Results 11 to 20 of about 5,384,650 (236)

Molecular Friction Trumps Viscosity in Angstrofluidic Transport. [PDF]

open access: yesSmall
Single‐file transport through sub‐1 nm graphene nanopore and carbon nanotube is investigated using molecular dynamics and ergodic trajectory sampling. The study shows that confinement geometry and wall‐fluid interaction strength govern molecular mobility, allowing atomistic motion to be translated into a continuum‐based resistance coefficient for ...
Hossain JA   +4 more
europepmc   +2 more sources

A pointwise ergodic theorem for Fuchsian groups [PDF]

open access: yes, 2010
We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian ...
Bufetov, Alexander I.   +3 more
core   +1 more source

A multiplicative ergodic theoretic characterization of relative equilibrium states [PDF]

open access: yes, 2022
In this article, we continue the structural study of factor maps between symbolic dynamical systems and the relative thermodynamic formalism. Here, one is studying a factor map from a shift of finite type X (equipped with a potential function) to a ...
Hong, Soonjo   +2 more
core   +1 more source

ERGODIC OPTIMIZATION IN DYNAMICAL SYSTEMS [PDF]

open access: yes, 2017
Ergodic optimization is the study of problems relating to maximizing orbits and invariant measures, and maximum ergodic averages. An orbit of a dynamical system is called -maximizing if the time average of the real-valued function along the orbit is ...
JENKINSON, OM, OLIVER JENKINSON
core   +1 more source

On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]

open access: yes, 2011
This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Werndl, Charlotte   +3 more
core   +1 more source

Finite and infinite ergodic theory for linear and conformal dynamical systems [PDF]

open access: yes, 2012
The first main topic of this thesis is the thorough analysis of two families of piecewise linear maps on the unit interval, the α-Lüroth and α-Farey maps.
Munday, Sara
core   +2 more sources

A Note on Ergodic Theory [PDF]

open access: yesProceedings of the American Mathematical Society, 1951
The purpose of this paper is to present solutions to certain problems in ergodic theory suggested by Einar Hille in his book Functional analysis and semi-groups [1]. 1 Let T(t) ( > 0) be a semi-group of linear bounded transformations on a complex Banach space X to itself.
openaire   +1 more source

Quantum ergodicity in the SYK model

open access: yesNuclear Physics B, 2018
We present a replica path integral approach describing the quantum chaotic dynamics of the SYK model at large time scales. The theory leads to the identification of non-ergodic collective modes which relax and eventually give way to an ergodic long time ...
Alexander Altland, Dmitry Bagrets
doaj   +1 more source

A non-singular version of the Oseledeč ergodic theorem

open access: yes, 2023
Kingman's subadditive ergodic theorem is traditionally proved in the setting of a measure-preserving invertible transformation T of a measure space.
Jin, JIE, Dooley, AH
core   +1 more source

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

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