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Real recurrence sets

Abstract:

Classical theorems such as the Poincaré recurrence theorem, the van der Corput theorem about equidistribution of sequences or the F. and M. Riesz theorem about measures on the torus show properties of the set ℕ. However, In particular the Poincaré recurrence easily allows to extend the recurrence result to sets such as mℕ for any m ∈ ℕ.

This motivates the notion of recurrence sets, i.e. sets Ɗ ⊆ ℕ (or Ɗ ⊆ ℤ) which are "strong" enough to force cert...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Trinity College
Role:
Author

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Role:
Supervisor
Publication date:
2015
Type of award:
MSc by Research
Level of award:
Masters
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
UUID:
uuid:4f369d93-0ba1-4da8-a399-2201191d6562
Local pid:
ora:11885
Deposit date:
2015-07-27

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