Entropie de l'image inverse d'une application
Entropy and localization of eigenfunctions
Entropy at a weight-per-symbol and embeddings of Markov chains.
Entropy, capacity and arrangements on the cube.
Entropy dimension of dynamical systems.
Entropy for noninvariant measures
Entropy, homology and semialgebraic geometry
Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories
We define the space of trajectories of a doubly stochastic operator on L¹(X,μ) as a shift space , where ν is a probability measure defined as in the Ionescu-Tulcea theorem and σ is the shift transformation. We study connections between the entropy of a doubly stochastic operator and the entropy of the shift on the space of trajectories of this operator.
Entropy of complete fuzzy partitions
Entropy of convolutions on the circle.
Entropy of Gaussian actions for countable Abelian groups
Entropy of transformations of the unit interval
Equality of coarse topologies in inverse transformations
Équations fonctionnelles, couplages de produits gauches et théorèmes ergodiques pour mesures diagonales
Equilibrium measures for holomorphic endomorphisms of complex projective spaces
Let f: ℙ → ℙ be a holomorphic endomorphism of a complex projective space , k ≥ 1, and let J be the Julia set of f (the topological support of the unique maximal entropy measure). Then there exists a positive number such that if ϕ: J → ℝ is a Hölder continuous function with , then ϕ admits a unique equilibrium state on J. This equilibrium state is equivalent to a fixed point of the normalized dual Perron-Frobenius operator. In addition, the dynamical system is K-mixing, whence ergodic. Proving...
Equilibrium States for ß-Transformations and Related Transformations.
Ergodic and Diophantine properties of algorithms of Selmer type
Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings
Basic ergodic properties of the ELF class of automorphisms, i.e. of the class of ergodic automorphisms whose weak closure of measures supported on the graphs of iterates of T consists of ergodic self-joinings are investigated. Disjointness of the ELF class with: 2-fold simple automorphisms, interval exchange transformations given by a special type permutations and time-one maps of measurable flows is discussed. All ergodic Poisson suspension automorphisms as well as dynamical systems determined...
Ergodic averages and free actions
If the ergodic transformations S, T generate a free action on a finite non-atomic measure space (X,S,µ) then for any there exists a measurable function f on X for which and -almost everywhere as N → ∞. In the special case when S, T are rationally independent rotations of the circle this result answers a question of M. Laczkovich.
Ergodic averages and integrals of cocycles.