Add to ORKGPesin's entropy formula relating entropy and Lyapunov exponents within the context of random dynamical system generated by (discrete or continuous) stochastic flows of diffeomorphisms (including solution flows of stochastic differential equations on manifolds) is proved.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1996WA87100004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsSCI(E)0ARTICLE8820-8333
In non-equilibrium statistical mechanics, the entropy production is used to describe flowing in or p...
In this paper, we prove Ruelle's inequality for the entropy and Lyapunov exponents of random di...
Asymptotically entropy of chaotic systems increases linearly and the sensitivity to initial condi- t...
Pesin's formula asserts that metric entropy of a dynamical system is equal to the sum of its positiv...
In this paper, we consider random dynamical systems (abbreviated as RDSs) generated by compositions ...
In this paper we consider random dynamical systems generated by compositions of one-sided independen...
Let M be a compact manifold and f : M -> M be a C-1 diffeomorphism on M. If mu is an f-invariant ...
In this paper, we prove that Pesin's entropy formula for random diffeomorphisms holds if and on...
Stochastic differential equations are important to model many complex systems. The Fokker-Planck equ...
This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic sys...
Consider a random cocycle Phi on a separable in finite-dimensional Hilbert space preserving a probab...
Stochastic differential equations are important to model many complex systems. The Fokker-Planck equ...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
Computing the stochastic entropy production associated with the evolution of a stochastic dynamical ...
A possibility of a relation between the Kolmogorov-Sinai entropy of a dynamical system and the entro...
In non-equilibrium statistical mechanics, the entropy production is used to describe flowing in or p...
In this paper, we prove Ruelle's inequality for the entropy and Lyapunov exponents of random di...
Asymptotically entropy of chaotic systems increases linearly and the sensitivity to initial condi- t...
Pesin's formula asserts that metric entropy of a dynamical system is equal to the sum of its positiv...
In this paper, we consider random dynamical systems (abbreviated as RDSs) generated by compositions ...
In this paper we consider random dynamical systems generated by compositions of one-sided independen...
Let M be a compact manifold and f : M -> M be a C-1 diffeomorphism on M. If mu is an f-invariant ...
In this paper, we prove that Pesin's entropy formula for random diffeomorphisms holds if and on...
Stochastic differential equations are important to model many complex systems. The Fokker-Planck equ...
This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic sys...
Consider a random cocycle Phi on a separable in finite-dimensional Hilbert space preserving a probab...
Stochastic differential equations are important to model many complex systems. The Fokker-Planck equ...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
Computing the stochastic entropy production associated with the evolution of a stochastic dynamical ...
A possibility of a relation between the Kolmogorov-Sinai entropy of a dynamical system and the entro...
In non-equilibrium statistical mechanics, the entropy production is used to describe flowing in or p...
In this paper, we prove Ruelle's inequality for the entropy and Lyapunov exponents of random di...
Asymptotically entropy of chaotic systems increases linearly and the sensitivity to initial condi- t...