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math.DS2025
Higher-Dimensional Moving Averages and Submanifold Genericity
Jiajun Cheng, Reynold Fregoli, Beinuo Guo
We generalize results of Jones and Olsen on multi-parameter moving ergodic averages to measure-preserving actions of for . In particular, we give necessary a…
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…
math.DS2022
A shrinking-target problem in the space of unimodular lattices in the three dimensional Euclidean space
Reynold Fregoli, Cheng Zheng
In this paper, we study the shrinking-target problem with target at infinity induced by the injectivity radius function under the action of a regular diagonalizable flow on $\opera…