AbstractWe prove an inhomogeneous analogue of W. M. Schmidt's theorem on the Hausdorff dimension of the set of badly approximable systems of linear forms. The proof is based on ideas and methods from the theory of dynamical systems, in particular, on abundance of bounded orbits of mixing flows on homogeneous spaces of Lie group
We call a badly approximable number $decaying$ if, roughly, the Lagrange constants of integer multip...
We generalise Birch's seminal work on forms in many variables to handle a system of forms in which t...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
AbstractWe prove an inhomogeneous analogue of W. M. Schmidt's theorem on the Hausdorff dimension of ...
AbstractA number α is called badly approximable if there is a constant c = c(α)>0 such that |q|αq − ...
This is the final version of the article. Available from De Gruyter via the DOI in this record.A bad...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
For given $\epsilon>0$ and $b\in\mathbb{R}^m$, we say that a real $m\times n$ matrix $A$ is $\epsilo...
Abstract. We generalize the notions of badly approximable (resp. singular) systems of m linear forms...
We prove that if $J$ is the limit set of an irreducible conformal iterated function system (with eit...
This paper is motivated by Davenport's problem and the subsequent work regarding badly approximable ...
AbstractWe prove that for every M,N∈N, if τ is a Borel, finite, absolutely friendly measure supporte...
We show an analogue of a theorem of An, Ghosh, Guan, and Ly on weighted badly approximable vectors f...
We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt ...
We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets o...
We call a badly approximable number $decaying$ if, roughly, the Lagrange constants of integer multip...
We generalise Birch's seminal work on forms in many variables to handle a system of forms in which t...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
AbstractWe prove an inhomogeneous analogue of W. M. Schmidt's theorem on the Hausdorff dimension of ...
AbstractA number α is called badly approximable if there is a constant c = c(α)>0 such that |q|αq − ...
This is the final version of the article. Available from De Gruyter via the DOI in this record.A bad...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
For given $\epsilon>0$ and $b\in\mathbb{R}^m$, we say that a real $m\times n$ matrix $A$ is $\epsilo...
Abstract. We generalize the notions of badly approximable (resp. singular) systems of m linear forms...
We prove that if $J$ is the limit set of an irreducible conformal iterated function system (with eit...
This paper is motivated by Davenport's problem and the subsequent work regarding badly approximable ...
AbstractWe prove that for every M,N∈N, if τ is a Borel, finite, absolutely friendly measure supporte...
We show an analogue of a theorem of An, Ghosh, Guan, and Ly on weighted badly approximable vectors f...
We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt ...
We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets o...
We call a badly approximable number $decaying$ if, roughly, the Lagrange constants of integer multip...
We generalise Birch's seminal work on forms in many variables to handle a system of forms in which t...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
DOI
Add to ORKG