2 papers
math.NT2026
Central Limit Theorems in Multiplicative Diophantine Approximation
Michael Björklund, Reynold Fregoli, Alexander Gorodnik
We investigate the number of integer solutions to a multiplicative Diophantine approximation problem and show that the associated counting function converges in distribution to a n…
math.DS2023
Decorrelation estimates for translated measures under diagonal flows
Michael Björklund, Reynold Fregoli, Alexander Gorodnik
A profound link between Homogeneous Dynamics and Diophantine Approximation is based on an observation that Diophantine properties of a real matrix are encoded by the correspond…