Add to ORKGConsider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and uniformly distributed over the interval [0,1)=R/Z and with their lengths decreasing to zero. We prove that the Hausdorff dimension of the set limnIn of points covered infinitely often is almost surely equal to 1/α when n = a/nα for some a> 0 and α> 1
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
Abstract. In this paper we consider functions of the type f(x) = n=0 ang(bnx+ θn), where (an) are in...
We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical...
Consider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and...
We consider a random covering determined by a random variable X of the space D = f0; 1gN. We are int...
Abstract. We calculate the almost sure Hausdorff dimension of the random covering set lim supn→∞(gn ...
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we...
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...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
AbstractConsider the Dvoretzky random covering on the circle T with a decreasing length sequence {ℓn...
This PhD thesis is devoted to random covering theory; we study the covering property of a set by a u...
Abstract. We show that, almost surely, the Hausdorff dimen-sion s0 of a random covering set is prese...
Abstract The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in...
. We study the distributions F`;p of the random sums P 1 1 " n` n , where " 1 ; "...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
Abstract. In this paper we consider functions of the type f(x) = n=0 ang(bnx+ θn), where (an) are in...
We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical...
Consider the random intervals In = ωn+ (0, n) (modulo 1) with their left points ωn independently and...
We consider a random covering determined by a random variable X of the space D = f0; 1gN. We are int...
Abstract. We calculate the almost sure Hausdorff dimension of the random covering set lim supn→∞(gn ...
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we...
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...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
AbstractConsider the Dvoretzky random covering on the circle T with a decreasing length sequence {ℓn...
This PhD thesis is devoted to random covering theory; we study the covering property of a set by a u...
Abstract. We show that, almost surely, the Hausdorff dimen-sion s0 of a random covering set is prese...
Abstract The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in...
. We study the distributions F`;p of the random sums P 1 1 " n` n , where " 1 ; "...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
Abstract. In this paper we consider functions of the type f(x) = n=0 ang(bnx+ θn), where (an) are in...
We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical...