Add to ORKGVarious tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the calculation of the dimension of auxiliary measures and the multifractal analysis
This paper relates multifractal features of a measure mu on IRn to those of the projection of the me...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
Fractal analysis is an important tool when we need to study geometrical objects less regular than or...
International audienceVarious tools can be used to calculate or estimate the dimension of measures. ...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
International audienceIn good cases, we prove that the function $\tau$ which appears in multifractal...
International audienceIn good cases, we prove that the function $\tau$ which appears in multifractal...
Let mu be a Borel probability measure on R-d. We study the Hausdorff dimension and the packing dimen...
Let mu be a Borel probability measure on R-d. We study the Hausdorff dimension and the packing dimen...
Let be a Borel probability measure on Rd. We study the Hausdorff dimension and the packing dimensio...
Abstract. We compute the typical (in the sense of Baire’s category theorem) multi-fractal box dimens...
AbstractGiven a positive probability Borel measure μ on R, we establish some basic properties of the...
This paper relates multifractal features of a measure mu on IRn to those of the projection of the me...
We consider relations between Rényi's and Hentschel - Procaccia's definitions of generalized dimensi...
This paper relates multifractal features of a measure mu on IRn to those of the projection of the me...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
Fractal analysis is an important tool when we need to study geometrical objects less regular than or...
International audienceVarious tools can be used to calculate or estimate the dimension of measures. ...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
International audienceIn good cases, we prove that the function $\tau$ which appears in multifractal...
International audienceIn good cases, we prove that the function $\tau$ which appears in multifractal...
Let mu be a Borel probability measure on R-d. We study the Hausdorff dimension and the packing dimen...
Let mu be a Borel probability measure on R-d. We study the Hausdorff dimension and the packing dimen...
Let be a Borel probability measure on Rd. We study the Hausdorff dimension and the packing dimensio...
Abstract. We compute the typical (in the sense of Baire’s category theorem) multi-fractal box dimens...
AbstractGiven a positive probability Borel measure μ on R, we establish some basic properties of the...
This paper relates multifractal features of a measure mu on IRn to those of the projection of the me...
We consider relations between Rényi's and Hentschel - Procaccia's definitions of generalized dimensi...
This paper relates multifractal features of a measure mu on IRn to those of the projection of the me...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
Fractal analysis is an important tool when we need to study geometrical objects less regular than or...