MEAC

Multiple ergodic averages and combinatorics

Coordinatore	PANEPISTIMIO KRITIS    more  Organization address address: UNIVERSITY CAMPUS GALLOS city: RETHIMNO postcode: 74100 contact info Titolo: Ms. Nome: Eleni Cognome: Karkanaki Email: send email Telefono: 0030-2810-393163 Fax: 0030-2810-393130
Nazionalità Coordinatore	Greece [EL]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2009-RG
Funding Scheme	MC-IRG
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-10-01   -   2013-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	PANEPISTIMIO KRITIS  Organization address address: UNIVERSITY CAMPUS GALLOS city: RETHIMNO postcode: 74100 contact info Titolo: Ms. Nome: Eleni Cognome: Karkanaki Email: send email Telefono: 0030-2810-393163 Fax: 0030-2810-393130	EL (RETHIMNO)	coordinator	100˙000.00

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 Obiettivo del progetto (Objective)

'The proposed research lies in the area of ergodic theory and has several potential implications in combinatorics. In ergodic theory, the investigator, building on his previous work, plans to carry out an in depth analysis of the limiting behavior of multiple ergodic averages along various integer sequences, for example Hardy sequences, random sequence, and sequences related to the prime numbers. The tools to be used include recent advances in the theory of characteristic factors and equidistribution results on nilmanifolds. The combinatorial implications are related to exhibiting patterns that can be found within every set of integers with positive density, thus obtaining several far reaching extensions of the celebrated theorem of Szemeredi on arithmetic progressions. Such results serve as a first step in exhibiting the same patterns within the set of prime numbers.'