Add to ORKGAbstract. We consider innitely convolved Bernoulli measures (or sim-ply Bernoulli convolutions) related to the -numeration. A matrix de-composition of these measures is obtained in the case when is a PV number. We also determine their Gibbs properties for being a multi-nacci number, which makes the multifractal analysis of the correspond-ing Bernoulli convolution possible
Let $\nu_\lambda^p$ be the distribution of the random series $\sum_{n=1}^\infty i_n \lambda^n$, wher...
AbstractLet {Xn}∞n= 0 be a sequence of i.i.d. Bernoulli random variables (i.e., Xn takes values {0, ...
AbstractWe define a new separation property on the family of contractive similitudes that allows cer...
Abstract. Let νpλ be the distribution of the random series n=1 inλ n, where in is a se-quence of i.i...
Multifractal analysis of weak Gibbs measures and phase transition—application to som
The multifractal decomposition of Gibbs measures for a conformal iterated function system is well kn...
Abstract. We consider the multifractal structure of the Bernoulli convolution νλ, where λ−1 is a Sal...
Abstract. The multifractal decomposition of Gibbs measures for conformal iterated function system is...
We consider the infinite sequences $(A_n)_{n\in\NN}$ of $2\times2$ matrices with nonnegative entries...
The paper is devoted to the study of the multifractal structure of disintegrations of Gibbs measures...
AbstractBy obtaining a new sufficient condition for a valid multifractal formalism, we improve in th...
Let mu be a Gibbs measure of the doubling map T of the circle. For a mu-generic point x and a given ...
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
International audienceBy obtening a new sufficient condition for a valid multifractal formalism, we ...
Let $\nu_\lambda^p$ be the distribution of the random series $\sum_{n=1}^\infty i_n \lambda^n$, wher...
AbstractLet {Xn}∞n= 0 be a sequence of i.i.d. Bernoulli random variables (i.e., Xn takes values {0, ...
AbstractWe define a new separation property on the family of contractive similitudes that allows cer...
Abstract. Let νpλ be the distribution of the random series n=1 inλ n, where in is a se-quence of i.i...
Multifractal analysis of weak Gibbs measures and phase transition—application to som
The multifractal decomposition of Gibbs measures for a conformal iterated function system is well kn...
Abstract. We consider the multifractal structure of the Bernoulli convolution νλ, where λ−1 is a Sal...
Abstract. The multifractal decomposition of Gibbs measures for conformal iterated function system is...
We consider the infinite sequences $(A_n)_{n\in\NN}$ of $2\times2$ matrices with nonnegative entries...
The paper is devoted to the study of the multifractal structure of disintegrations of Gibbs measures...
AbstractBy obtaining a new sufficient condition for a valid multifractal formalism, we improve in th...
Let mu be a Gibbs measure of the doubling map T of the circle. For a mu-generic point x and a given ...
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
International audienceBy obtening a new sufficient condition for a valid multifractal formalism, we ...
Let $\nu_\lambda^p$ be the distribution of the random series $\sum_{n=1}^\infty i_n \lambda^n$, wher...
AbstractLet {Xn}∞n= 0 be a sequence of i.i.d. Bernoulli random variables (i.e., Xn takes values {0, ...
AbstractWe define a new separation property on the family of contractive similitudes that allows cer...