5 papers
Cone upgrade for effective equidistribution and weighted Khintchine--Schmidt theorem on fractals
Gaurav Aggarwal, Alexander Gorodnik
We prove a fractal analogue of the weighted theorems of Khintchine and Schmidt for products of self-similar measures on the real line whose defining iterated function systems share…
Generalised Gauss--Kuzmin Distribution for Klein sails in
Gaurav Aggarwal, Konstantin Andritsch
The classical Gauss--Kuzmin distribution describes the asymptotic distribution of continued fraction digits. Geometrically, this may be interpreted as the equidistribution of faces…
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…
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…