Projects per year
Abstract
With a view to establishing measure theoretic approximation properties of Delone sets, we study a setup which arises naturally in the problem of averaging almost periodic functions along exponential sequences. In this setting, we establish a full converse of the BorelCantelli lemma. This provides an analogue of more classical problems in the metric theory of Diophantine approximation, but with the distance to the nearest integer function replaced by distance to an arbitrary Delone set.
Original language  English 

Number of pages  6 
Publication status  Published  16 Feb 2017 
Bibliographical note
6 pagesKeywords
 math.DS
 math.MG
 math.NT
 11K06, 52C23
Projects
 3 Finished

Gaps theorems and statistics of patterns in quasicrystals
1/07/15 → 30/06/18
Project: Research project (funded) › Research

Diophantine approximation, chromatic number, and equivalence classes of separated nets
10/10/13 → 9/07/15
Project: Research project (funded) › Research

Career Acceleration Fellowship: Circle rotations and their generalisation in Diophantine approximation
1/10/13 → 30/09/16
Project: Research project (funded) › Research