ABSTRACT. We consider the multifractal formalism for the dynamics of semigroups of rational maps on the Riemann sphere and random complex dynamical systems. We elaborate a multifractal analysis of level sets given by quotients of Birkhoff sums with respect to the skew product associated with a semigroup of rational maps. Applying these results, we perform a multifractal analysis of the Hölder regularity of limit state functions of random complex dynamical systems. 1
In the theory of quantum chaos one studies the semiclassical behaviour of quantum mechanical systems...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
AbstractA nonnegative 1-periodic multifractal measure on R is obtained as infinite random product of...
ABSTRACT. We consider the multifractal formalism for the dynamics of semigroups of rational maps on ...
We consider hyperbolic random complex dynamical systems on the Riemann sphere with separating condit...
The theory of random dynamical systems originated from stochastic differential equations. It is inte...
We study the stability of multifractal structures for dynamical systems under small perturbations. F...
We introduce a class of random …eld models with variable regularity/singularity order on multifracta...
We introduce a deterministic model defined on a two dimensional hyperbolic lattice. This model provi...
Abstract. This paper is devoted to study multifractal analysis of quotients of Birkhoff averages for...
Nous montrons la validité du formalisme multifractal pour les mesures aléatoires faiblement Gibbs po...
We establish the validity of the multifractal formalism for random weak Gibbs measures supported on ...
We achieve the multifractal analysis of a class of complex valued statistically self-similar continu...
International audienceIn the introductory section of the article we give a brief account of recent i...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
In the theory of quantum chaos one studies the semiclassical behaviour of quantum mechanical systems...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
AbstractA nonnegative 1-periodic multifractal measure on R is obtained as infinite random product of...
ABSTRACT. We consider the multifractal formalism for the dynamics of semigroups of rational maps on ...
We consider hyperbolic random complex dynamical systems on the Riemann sphere with separating condit...
The theory of random dynamical systems originated from stochastic differential equations. It is inte...
We study the stability of multifractal structures for dynamical systems under small perturbations. F...
We introduce a class of random …eld models with variable regularity/singularity order on multifracta...
We introduce a deterministic model defined on a two dimensional hyperbolic lattice. This model provi...
Abstract. This paper is devoted to study multifractal analysis of quotients of Birkhoff averages for...
Nous montrons la validité du formalisme multifractal pour les mesures aléatoires faiblement Gibbs po...
We establish the validity of the multifractal formalism for random weak Gibbs measures supported on ...
We achieve the multifractal analysis of a class of complex valued statistically self-similar continu...
International audienceIn the introductory section of the article we give a brief account of recent i...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
In the theory of quantum chaos one studies the semiclassical behaviour of quantum mechanical systems...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
AbstractA nonnegative 1-periodic multifractal measure on R is obtained as infinite random product of...