International audienceFundamental questions in Diophantine approximation are related to the Hausdorff dimension of sets of the form {x is an element of R: delta(x) = delta}, where delta >= I and delta(x) is the Diophantine approximation exponent of an irrational number x. We go beyond the classical results by computing the Hausdorff dimension of the sets {x is an element of R: delta(x) = f (x)}, where f is a continuous function. Our theorem applies to the study of the approximation exponents by various approximation families. It also applies to functions f which are continuous outside a set of prescribed Hausdorff dimension. (C) 2010 Elsevier Inc. All rights reserved
SIGLEAvailable from British Library Document Supply Centre- DSC:DX174386 / BLDSC - British Library D...
We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. W...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
International audienceFundamental questions in Diophantine approximation are related to the Hausdorf...
AbstractFundamental questions in Diophantine approximation are related to the Hausdorff dimension of...
AbstractLetm,nbe positive integers and letψ:Zn→R be a non-negative function. LetW(m, n; ψ) be the se...
In many areas ofmathematics problems of small divisors, or exceptional sets on which certain desired...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
This note draws together and extends two recent results on Diophantine approximation and Hausdorff d...
We generalize the classical theorem by Jarnik and Besicovitch on the irrationality exponents of real...
Suppose that m is a positive integer, = (1; : : : ; m) 2 Rm+ is a vector of strictly positive num...
International audienceThis paper is mainly concerned with Hausdorff dimensions of Besicovitch-Eggles...
Diophantine approximation is traditionally the study of how well real numbers are approximated by ra...
Abstract. Let α be an irrational and ϕ: N → R+ be a function decreasing to zero. For any α with a gi...
The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequenc...
SIGLEAvailable from British Library Document Supply Centre- DSC:DX174386 / BLDSC - British Library D...
We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. W...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
International audienceFundamental questions in Diophantine approximation are related to the Hausdorf...
AbstractFundamental questions in Diophantine approximation are related to the Hausdorff dimension of...
AbstractLetm,nbe positive integers and letψ:Zn→R be a non-negative function. LetW(m, n; ψ) be the se...
In many areas ofmathematics problems of small divisors, or exceptional sets on which certain desired...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
This note draws together and extends two recent results on Diophantine approximation and Hausdorff d...
We generalize the classical theorem by Jarnik and Besicovitch on the irrationality exponents of real...
Suppose that m is a positive integer, = (1; : : : ; m) 2 Rm+ is a vector of strictly positive num...
International audienceThis paper is mainly concerned with Hausdorff dimensions of Besicovitch-Eggles...
Diophantine approximation is traditionally the study of how well real numbers are approximated by ra...
Abstract. Let α be an irrational and ϕ: N → R+ be a function decreasing to zero. For any α with a gi...
The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequenc...
SIGLEAvailable from British Library Document Supply Centre- DSC:DX174386 / BLDSC - British Library D...
We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. W...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...