19 citations · 123 across the 41 of their papers we have counts for
52 papers
Rectangular shrinking targets for actions on tori: well and badly approximable systems
Victor Beresnevich, Shreyasi Datta, Anish Ghosh +1
In this paper we investigate the shrinking target property for irrational rotations. This was first studied by Kurzweil (1951) and has received considerable interest of late. Using…
Bad is null
Victor Beresnevich, Shreyasi Datta, Anish Ghosh +1
In this paper we develop a general framework of badly approximable points in a metric space equipped with a -finite doubling Borel regular measure . We establish that und…
Two Central limit theorems in Diophantine approximation
Gaurav Aggarwal, Anish Ghosh
We prove central limit theorems for Diophantine approximations with congruence conditions and for inhomogeneous Diophantine approximations following the approach of Björklund and G…
Good functions, measures, and the Kleinbock-Tomanov conjecture
Victor Beresnevich, Shreyasi Datta, Anish Ghosh
In this paper we prove a conjecture of Kleinbock and Tomanov \cite[Conjecture~FP]{KT} on Diophantine properties of a large class of fractal measures on . More gener…
Exact approximation order and well-distributed sets
Prasuna Bandi, Anish Ghosh, Debanjan Nandi
We prove that for any proper metric space and a function from a suitable class of approximation functions, the Hausdorff dimensions of the set $W_ψ(…
Some new results in quantitative Diophantine approximation
Anish Ghosh, V. Vinay Kumaraswamy
In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we cons…