Add to ORKGWe present a general approach to the study of the local distribution of measures on Euclidean spaces, based on local entropy averages. As concrete applications, we unify, generalize, and simplify a number of recent results on local homogeneity, porosity and conical densities of measures
We define restricted entropy and Lq-dimensions of measures in doubling metric spaces and show that t...
In this paper we investigate the dimensional structure of probability distributions on Euclidean spa...
We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure t...
ABSTRACT. We present a general approach to the study of the local distribution of mea-sures on Eucli...
Porosity and dimension are two useful, but different, concepts that quantify the size of fractal set...
Abstract. Porosity and dimension are two useful, but different, concepts that quantify the size of f...
Abstract We define restricted entropy and Lq-dimensions of measures in doubling metric spaces and s...
Properties of data distributions can be assessed at both global and local scales. At a highly locali...
International audienceWe characterize probability measures whose Hausdorff dimension or packing dime...
Tangent measure distributions are a natural tool to describe the local geometry of arbitrary measure...
One of the objects of geometric measure theory is to derive global geometric structures from local p...
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of ...
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a mark...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...
Valuations --- morphisms from (\Sigma ; \Delta; e) to ((0; 1); \Delta; 1) --- are a simple general...
We define restricted entropy and Lq-dimensions of measures in doubling metric spaces and show that t...
In this paper we investigate the dimensional structure of probability distributions on Euclidean spa...
We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure t...
ABSTRACT. We present a general approach to the study of the local distribution of mea-sures on Eucli...
Porosity and dimension are two useful, but different, concepts that quantify the size of fractal set...
Abstract. Porosity and dimension are two useful, but different, concepts that quantify the size of f...
Abstract We define restricted entropy and Lq-dimensions of measures in doubling metric spaces and s...
Properties of data distributions can be assessed at both global and local scales. At a highly locali...
International audienceWe characterize probability measures whose Hausdorff dimension or packing dime...
Tangent measure distributions are a natural tool to describe the local geometry of arbitrary measure...
One of the objects of geometric measure theory is to derive global geometric structures from local p...
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of ...
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a mark...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...
Valuations --- morphisms from (\Sigma ; \Delta; e) to ((0; 1); \Delta; 1) --- are a simple general...
We define restricted entropy and Lq-dimensions of measures in doubling metric spaces and show that t...
In this paper we investigate the dimensional structure of probability distributions on Euclidean spa...
We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure t...