International audienceIn the natural context of ergodic optimization, we provide a short proof of the assertion that the maximizing measure of a generic continuous function has zero entropy
The main purpose of the ergodic optimization is to describe a max1m1zmg measures, which is an invari...
Dan Rudolph showed that for an amenable group, Γ, the generic measure-preserving action of Γ on a Le...
This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geom...
One of the fundamental results of ergodic optimization asserts that for any dynamical system on a co...
Given a real-valued continuous function f defined on the phase space of a dynamical system, an invar...
We prove that for a generic real-valued Holder continuous function f on a subshift of finite type, e...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
We consider maximizing orbits and maximizing measures for continuous maps T : X ! X and functions f...
Let f be a real-valued function defined on the phase space of a dynamical system. Ergodic optimizati...
Ergodic optimization is the study of problems relating to maximizing orbits and invariant measures, ...
For a generic C-1 expanding map of the circle, the Lyapunov maximizing measure is unique and fully s...
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Equilibrium States are measures that maximizes some variational princi-ples. The problems of find su...
It is shown that (i) every probability density is the unique maximizer of relative entropy in an a...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
The main purpose of the ergodic optimization is to describe a max1m1zmg measures, which is an invari...
Dan Rudolph showed that for an amenable group, Γ, the generic measure-preserving action of Γ on a Le...
This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geom...
One of the fundamental results of ergodic optimization asserts that for any dynamical system on a co...
Given a real-valued continuous function f defined on the phase space of a dynamical system, an invar...
We prove that for a generic real-valued Holder continuous function f on a subshift of finite type, e...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
We consider maximizing orbits and maximizing measures for continuous maps T : X ! X and functions f...
Let f be a real-valued function defined on the phase space of a dynamical system. Ergodic optimizati...
Ergodic optimization is the study of problems relating to maximizing orbits and invariant measures, ...
For a generic C-1 expanding map of the circle, the Lyapunov maximizing measure is unique and fully s...
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Equilibrium States are measures that maximizes some variational princi-ples. The problems of find su...
It is shown that (i) every probability density is the unique maximizer of relative entropy in an a...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
The main purpose of the ergodic optimization is to describe a max1m1zmg measures, which is an invari...
Dan Rudolph showed that for an amenable group, Γ, the generic measure-preserving action of Γ on a Le...
This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geom...