4 papers · 1 filter
Extreme values and logarithm laws for toral translations
Sourav Das, Anish Ghosh, Sundara Narasimhan
We study extreme values of normalized -th nearest neighbour distance functions in inhomogeneous Diophantine approximation, proving Weibull and Fréchet limit laws when the shift…
Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
Gaurav Aggarwal, Sourav Das, Anish Ghosh
In this paper, we prove a central limit theorem for inhomogeneous Diophantine approximation with a fixed shift, provided the shift is non-Liouville. This generalizes earlier work o…
Simultaneous Khintchine theorem on manifolds in positive characteristics: convergence case
Noy Soffer Aranov, Sourav Das, Arijit Ganguly +1
We prove the convergence case of Khintchine's theorem, with general approximation functions that are not necessarily monotonic, for analytic nonplanar manifolds over local fields o…
Diophantine transference principle over function fields
Sourav Das, Arijit Ganguly
We study the Diophantine transference principle over function fields. By adapting the approach of Beresnevich and Velani to the function field set-up, we extend many results from h…