For S-g(x, y) = x-g(y), x, y is an element of R-n, g is an element of O(n), we investigate the Lebesgue measure and Hausdorff dimension of Sg(A) given the dimension of A, both for general Borel subsets of R-2n and for product sets.Peer reviewe
The Hausdorff dimension of a product $X\times Y$ can be strictly greater than that of $Y$, even when...
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets o...
This paper contains two results on the dimension and smoothness of radial projections of sets and me...
For S-g(x, y) = x-g(y), x, y is an element of R-n, g is an element of O(n), we investigate the Lebes...
Let $A$ and $B$ be Borel subsets of the Euclidean $n$-space with $\dim A + \dim B > n$. This is a su...
Let A and B be Borel subsets of the Euclidean n-space with dim A + dim B > n and let 0 u for z in a...
We give conditions on a general family P-lambda : R-n -> R-m, lambda is an element of Lambda of orth...
This is a survey on transformation of fractal type sets and measures under orthogonal projections an...
A classical theorem due to Mattila says that if A, B ⊂ ℝ d of Hausdorff dimension s A , s B respecti...
We present strong versions of Marstrand's projection theorems and other related theorems. For exampl...
I shall discuss some recent developments on two closely related questions: How do projections affect...
l. Introilucti'on. Let m and n be positive integers with m < n and let O*(n, m) be the set o...
Let A and B be Borel subsets of the Euclidean n-space with dim A + dim B > n. This is a survey on th...
A characterization of plane sets whose projection have zero Hausdorff measure is given. This is obta...
Sixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff d...
The Hausdorff dimension of a product $X\times Y$ can be strictly greater than that of $Y$, even when...
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets o...
This paper contains two results on the dimension and smoothness of radial projections of sets and me...
For S-g(x, y) = x-g(y), x, y is an element of R-n, g is an element of O(n), we investigate the Lebes...
Let $A$ and $B$ be Borel subsets of the Euclidean $n$-space with $\dim A + \dim B > n$. This is a su...
Let A and B be Borel subsets of the Euclidean n-space with dim A + dim B > n and let 0 u for z in a...
We give conditions on a general family P-lambda : R-n -> R-m, lambda is an element of Lambda of orth...
This is a survey on transformation of fractal type sets and measures under orthogonal projections an...
A classical theorem due to Mattila says that if A, B ⊂ ℝ d of Hausdorff dimension s A , s B respecti...
We present strong versions of Marstrand's projection theorems and other related theorems. For exampl...
I shall discuss some recent developments on two closely related questions: How do projections affect...
l. Introilucti'on. Let m and n be positive integers with m < n and let O*(n, m) be the set o...
Let A and B be Borel subsets of the Euclidean n-space with dim A + dim B > n. This is a survey on th...
A characterization of plane sets whose projection have zero Hausdorff measure is given. This is obta...
Sixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff d...
The Hausdorff dimension of a product $X\times Y$ can be strictly greater than that of $Y$, even when...
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets o...
This paper contains two results on the dimension and smoothness of radial projections of sets and me...