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math.NT2026
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…
math.NT2026
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…