Add to ORKGThe random β-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of β and use the projection to obtain results on the local dimension of the Bernoulli convolution
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral en...
Abstract. Let β> 1 be a non-integer. We consider expansions of the form � ∞ i=1 d i β i, where th...
International audienceVarious tools can be used to calculate or estimate the dimension of measures. ...
AbstractLet {Xn}∞n= 0 be a sequence of i.i.d. Bernoulli random variables (i.e., Xn takes values {0, ...
We construct a geometrico-symbolic version of the natural extension of the random β-transformation i...
42 pages, 7 figuresInternational audienceIn this note we present an algorithm to obtain a uniform lo...
The Bernoulli convolution with parameter λ ∈ (0, 1) is the probability measure μλ that is the law of...
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of ...
We construct a Lebesgue measure preserving natural extension of a skew product system related to the...
We construct a Lebesgue measure preserving natural extension of a skew product system related to the...
We show the existence of the local dimension of an invariant probability measure on an infinitely ge...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
We prove preservation of L q dimensions (for 1 < q ≤ 2) under all orthogonal projections for a class...
Bobkov SG, Götze F, Houdre C. On Gaussian and Bernoulli covariance representations. BERNOULLI. 2001;...
We consider dynamics of compositions of stationary random C-2 diffeomorphisms. We will prove that th...
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral en...
Abstract. Let β> 1 be a non-integer. We consider expansions of the form � ∞ i=1 d i β i, where th...
International audienceVarious tools can be used to calculate or estimate the dimension of measures. ...
AbstractLet {Xn}∞n= 0 be a sequence of i.i.d. Bernoulli random variables (i.e., Xn takes values {0, ...
We construct a geometrico-symbolic version of the natural extension of the random β-transformation i...
42 pages, 7 figuresInternational audienceIn this note we present an algorithm to obtain a uniform lo...
The Bernoulli convolution with parameter λ ∈ (0, 1) is the probability measure μλ that is the law of...
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of ...
We construct a Lebesgue measure preserving natural extension of a skew product system related to the...
We construct a Lebesgue measure preserving natural extension of a skew product system related to the...
We show the existence of the local dimension of an invariant probability measure on an infinitely ge...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
We prove preservation of L q dimensions (for 1 < q ≤ 2) under all orthogonal projections for a class...
Bobkov SG, Götze F, Houdre C. On Gaussian and Bernoulli covariance representations. BERNOULLI. 2001;...
We consider dynamics of compositions of stationary random C-2 diffeomorphisms. We will prove that th...
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral en...
Abstract. Let β> 1 be a non-integer. We consider expansions of the form � ∞ i=1 d i β i, where th...
International audienceVarious tools can be used to calculate or estimate the dimension of measures. ...