Add to ORKGAbstract. We calculate the almost sure Hausdorff dimension of the random covering set lim supn→∞(gn + ξn) in d-dimensional torus Td, where the sets gn ⊂ Td are parallelepipeds, or more generally, linear images of a set with nonempty interior, and ξn ∈ Td are independent and uniformly distributed random points. The dimension formula, derived from the singular values of the linear mappings, holds provided that the sequences of the singular values are decreasing. 1
We compute the Hausdorff dimension of any random statistically self-affine Sierpinski sponge K ⊂ R k...
We consider a random covering determined by a random variable X of the space D = f0; 1gN. We are int...
Abstract. Let X1,..., XN denote N independent, symmetric Lévy processes on Rd. The corresponding ad...
Abstract. Let M, N and K be d-dimensional Riemann manifolds. Assume that A: = (An)n∈N is a sequence ...
Abstract Let 𝐌, 𝐍 and 𝐊 be d-dimensional Riemann manifolds. Assume that 𝐀 := (An)n∈ℕ is a seque...
Consider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
Consider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and...
Abstract The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in...
Abstract. We show that, almost surely, the Hausdorff dimen-sion s0 of a random covering set is prese...
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we...
This note provides a generalization of a recent result by Jarvenpaa, Jarvenpaa, Koivusalo, Li, and S...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code t...
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code t...
We compute the Hausdorff dimension of any random statistically self-affine Sierpinski sponge K ⊂ R k...
We consider a random covering determined by a random variable X of the space D = f0; 1gN. We are int...
Abstract. Let X1,..., XN denote N independent, symmetric Lévy processes on Rd. The corresponding ad...
Abstract. Let M, N and K be d-dimensional Riemann manifolds. Assume that A: = (An)n∈N is a sequence ...
Abstract Let 𝐌, 𝐍 and 𝐊 be d-dimensional Riemann manifolds. Assume that 𝐀 := (An)n∈ℕ is a seque...
Consider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
Consider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and...
Abstract The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in...
Abstract. We show that, almost surely, the Hausdorff dimen-sion s0 of a random covering set is prese...
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we...
This note provides a generalization of a recent result by Jarvenpaa, Jarvenpaa, Koivusalo, Li, and S...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code t...
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code t...
We compute the Hausdorff dimension of any random statistically self-affine Sierpinski sponge K ⊂ R k...
We consider a random covering determined by a random variable X of the space D = f0; 1gN. We are int...
Abstract. Let X1,..., XN denote N independent, symmetric Lévy processes on Rd. The corresponding ad...