Diophantine exponents of measures: a dynamical approach
Dmitry Kleinbock
Abstract
We place the theory of metric Diophantine approximation on manifolds into a broader context of studying Diophantine properties of points generic with respect to certain measures on Rn. The correspondence between multidimensional Diophantine approximation and dynamics of lattices in Euclidean spaces is discussed in an elementary way, and several recent results obtained by means of this correspondence are surveyed.
Create a lesson
Related papers
Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy
Koustav Banerjee, Manosij Ghosh Dastidar
Primes between 8th powers?
Matt Visser
Divisibility Estimates for Gaussian Norms and Almost-Prime Orders of a CM Elliptic Curve
SeungJu Lee
On the Erdős--Odlyzko--Sárközy conjecture for prime-power moduli
William Banks, Igor E. Shparlinski
The Density and Quantitative Upper Bound of Integers Not Expressible as the Sum of a Prime and a Zumkeller Number
Ting Hon Stanford Li
On a problem on partitions into distinct primes
John M. Campbell