19 citations · 123 across the 41 of their papers we have counts for
6 papers · 1 filter
Bounded orbits of Diagonalizable Flows on finite volume quotients of products of
Jinpeng An, Anish Ghosh, Lifan Guan +1
We prove a number field analogue of W. M. Schmidt's conjecture on the intersection of weighted badly approximable vectors and use this to prove an instance of a conjecture of An, G…
On Diophantine transference principles
Anish Ghosh, Antoine Marnat
We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for…
Quantitative Diophantine approximation on affine subspaces
Arijit Ganguly, Anish Ghosh
Recently, Adiceam, Beresnevich, Levesley, Velani and Zorin proved a quantitative version of the convergence case of the Khintchine-Groshev theorem for nondegenerate manifolds, moti…
Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points
Victor Beresnevich, Anish Ghosh, David Simmons +1
The overall aim of this note is to initiate a "manifold" theory for metric Diophantine approximation on the limit sets of Kleinian groups. We investigate the notions of singular an…
Diophantine approximation on subspaces of and dynamics on homogeneous spaces
Anish Ghosh
In recent years, the ergodic theory of group actions on homogeneous spaces has played a significant role in the metric theory of Diophantine approximation. We survey some recent de…
A Quantitative Oppenheim Theorem for generic ternary quadratic forms
Anish Ghosh, Dubi Kelmer
We prove a quantitative version of Oppenheim's conjecture for generic ternary indefinite quadratic forms. Our results are inspired by and analogous to recent results for diagonal q…