AbstractWe study the behavior of the Hausdorff dimension of sets in the Heisenberg group Hn, n∈N, with a sub-Riemannian metric under projections onto horizontal and vertical subgroups, and under slicing by translates of vertical subgroups. We formulate almost sure statements in terms of a natural measure on the Grassmannian of isotropic subspaces
We study uniform measures in the first Heisenberg group H equipped with the Korányi metric d. We pro...
Abstract We study projectional properties of Poisson cut-out sets \(E\) in non-Euclidean spaces. In...
We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metric...
AbstractWe study the behavior of the Hausdorff dimension of sets in the Heisenberg group Hn, n∈N, wi...
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets o...
We study the behavior of Sobolev mappings defined on the sub-Riemannian Heisenberg groups with respe...
We prove analogs of classical almost sure dimension theorems for Euclidean projection mappings in th...
This thesis starts by giving an expository introduction to the study of projection and slicing probl...
An improved a.e. lower bound is given for Hausdorff dimension under vertical projections in the firs...
We study the family of vertical projections whose fibers are right cosets of horizontal planes in th...
We present the explicit formula relating the spherical Hausdorff measure and the Riemannian surface ...
The almost sure value of the Hausdorff dimension of limsup sets generated by randomly distributed re...
Abstract The almost sure value of the Hausdorff dimension of limsup sets generated by randomly dist...
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub...
We study uniform measures in the first Heisenberg group H equipped with the Korányi metric d. We pro...
We study uniform measures in the first Heisenberg group H equipped with the Korányi metric d. We pro...
Abstract We study projectional properties of Poisson cut-out sets \(E\) in non-Euclidean spaces. In...
We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metric...
AbstractWe study the behavior of the Hausdorff dimension of sets in the Heisenberg group Hn, n∈N, wi...
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets o...
We study the behavior of Sobolev mappings defined on the sub-Riemannian Heisenberg groups with respe...
We prove analogs of classical almost sure dimension theorems for Euclidean projection mappings in th...
This thesis starts by giving an expository introduction to the study of projection and slicing probl...
An improved a.e. lower bound is given for Hausdorff dimension under vertical projections in the firs...
We study the family of vertical projections whose fibers are right cosets of horizontal planes in th...
We present the explicit formula relating the spherical Hausdorff measure and the Riemannian surface ...
The almost sure value of the Hausdorff dimension of limsup sets generated by randomly distributed re...
Abstract The almost sure value of the Hausdorff dimension of limsup sets generated by randomly dist...
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub...
We study uniform measures in the first Heisenberg group H equipped with the Korányi metric d. We pro...
We study uniform measures in the first Heisenberg group H equipped with the Korányi metric d. We pro...
Abstract We study projectional properties of Poisson cut-out sets \(E\) in non-Euclidean spaces. In...
We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metric...
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