Add to ORKGIn \cite{B} Bourgain proves that Sarnak's disjointness conjecture holds for a certain class of Three-interval exchange maps. In the present paper we slightly improve the Diophantine condition of Bourgain and estimate the constants in the proof. We further show, that the new parameter set has positive, but not full Hausdorff dimension. This, in particular, implies that the Lebesgue measure of this set is zero.QC 20171016</p
In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension...
For a map (Formula presented.) with an invariant measure (Formula presented.), we study, for a (Form...
AbstractWe obtain two sufficient conditions for an interval self-map to have a chaotic set with posi...
In \cite{B} Bourgain proves that Sarnak's disjointness conjecture holds for a certain class of Three...
oai:DiVA.org:kth-215737In \cite{B} Bourgain proves that Sarnak's disjointness conjecture holds for a...
We study certain aspects of the Möbius randomness principle and more specifically the Möbius disjoin...
We study certain aspects of the Möbius randomness principle and more specifically the Möbius disjoin...
International audienceWe prove linear upper and lower bounds for the Hausdorff dimension set of mini...
AbstractLetm,nbe positive integers and letψ:Zn→R be a non-negative function. LetW(m, n; ψ) be the se...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Abstract. Let T: [0, 1] → [0,1] be an expanding piecewise monotonic map, and consider the set R of ...
In 1986, J. Bourgain showed that, for a given dimension d $ ge$ 2, there exists $ rho sb{d}$ $<$ d s...
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
International audienceWe prove linear upper and lower bounds for the Hausdorff dimension set of mini...
Abstract. We show that the set of real numbers of Lagrange value 3 has Hausdorff dimension zero. In ...
In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension...
For a map (Formula presented.) with an invariant measure (Formula presented.), we study, for a (Form...
AbstractWe obtain two sufficient conditions for an interval self-map to have a chaotic set with posi...
In \cite{B} Bourgain proves that Sarnak's disjointness conjecture holds for a certain class of Three...
oai:DiVA.org:kth-215737In \cite{B} Bourgain proves that Sarnak's disjointness conjecture holds for a...
We study certain aspects of the Möbius randomness principle and more specifically the Möbius disjoin...
We study certain aspects of the Möbius randomness principle and more specifically the Möbius disjoin...
International audienceWe prove linear upper and lower bounds for the Hausdorff dimension set of mini...
AbstractLetm,nbe positive integers and letψ:Zn→R be a non-negative function. LetW(m, n; ψ) be the se...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Abstract. Let T: [0, 1] → [0,1] be an expanding piecewise monotonic map, and consider the set R of ...
In 1986, J. Bourgain showed that, for a given dimension d $ ge$ 2, there exists $ rho sb{d}$ $<$ d s...
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
International audienceWe prove linear upper and lower bounds for the Hausdorff dimension set of mini...
Abstract. We show that the set of real numbers of Lagrange value 3 has Hausdorff dimension zero. In ...
In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension...
For a map (Formula presented.) with an invariant measure (Formula presented.), we study, for a (Form...
AbstractWe obtain two sufficient conditions for an interval self-map to have a chaotic set with posi...