4 papers
Extreme values and logarithm laws for toral translations
Sourav Das, Anish Ghosh, Sundara Narasimhan
We study extreme values of normalised -th nearest neighbour distance functions in inhomogeneous Diophantine approximation, and prove Weibull and Fréchet limit laws for these fun…
Fine-scale statistics for
Gaurav Aggarwal, Anish Ghosh, Jens Marklof
We study the distribution of rational points in , with denominators restricted to the interval , and such that . Previous results i…
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…
Quantitative rational approximation on spheres
Mahbub Alam, Anish Ghosh
We prove a quantitative theorem for Diophantine approximation by rational points on spheres. Our results are valid for arbitrary unimodular lattices and we further prove 'spiraling…