Add to ORKGWe show a new method of estimating the Hausdorff measure (of the proper dimension) of a fractal set from below. The method requires computing the subsequent closest return times of a point to itself
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We study the fractal pointwise convergence for the equation $i\hbar\partial_tu + P(D)u = 0$, where t...
In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the ...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
AbstractBy a new method, we obtain the lower and upper bounds of the Hausdorff measure of the Sierpi...
We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets o...
AbstractIn this note we prove that the Hausdorff distance between compact sets and the Kantorovich d...
Let $\{x_n\}_{n\geq 0}$ be a sequence of $[0,1]^d$, $\{\lambda_n\} _{n\geq 0}$ a sequence of positiv...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension...
Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform ...
A high dimensional dynamical system is often studied by experimentalists through the measurement of ...
AbstractThis note is concerned with the quantitative recurrence properties of beta dynamical system ...
AbstractIn a paper from 1954 Marstrand proved that if K⊂R2 has a Hausdorff dimension greater than 1,...
Abstract. We study the quantitative behavior of Poincare ́ recurrence. In particular, for an equilib...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We study the fractal pointwise convergence for the equation $i\hbar\partial_tu + P(D)u = 0$, where t...
In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the ...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
AbstractBy a new method, we obtain the lower and upper bounds of the Hausdorff measure of the Sierpi...
We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets o...
AbstractIn this note we prove that the Hausdorff distance between compact sets and the Kantorovich d...
Let $\{x_n\}_{n\geq 0}$ be a sequence of $[0,1]^d$, $\{\lambda_n\} _{n\geq 0}$ a sequence of positiv...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension...
Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform ...
A high dimensional dynamical system is often studied by experimentalists through the measurement of ...
AbstractThis note is concerned with the quantitative recurrence properties of beta dynamical system ...
AbstractIn a paper from 1954 Marstrand proved that if K⊂R2 has a Hausdorff dimension greater than 1,...
Abstract. We study the quantitative behavior of Poincare ́ recurrence. In particular, for an equilib...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We study the fractal pointwise convergence for the equation $i\hbar\partial_tu + P(D)u = 0$, where t...
In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the ...