FRACTALSANDMETRICNT

"Fractals, algebraic dynamics and metric number theory"

Coordinatore	THE HEBREW UNIVERSITY OF JERUSALEM.    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Israel [IL]
Totale costo	1˙107˙000 €
EC contributo	1˙107˙000 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2012-StG_20111012
Funding Scheme	ERC-SG
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-10-01   -   2017-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	THE HEBREW UNIVERSITY OF JERUSALEM.  Organization address address: GIVAT RAM CAMPUS city: JERUSALEM postcode: 91904 contact info Titolo: Dr. Nome: Michael Cognome: Hochman Email: send email Telefono: +972 2 6584326 Fax: +972 2 5630702	IL (JERUSALEM)	hostInstitution	1˙107˙000.00
2	THE HEBREW UNIVERSITY OF JERUSALEM.  Organization address address: GIVAT RAM CAMPUS city: JERUSALEM postcode: 91904 contact info Titolo: Mr. Nome: Hani Cognome: Ben-Yehuda Email: send email Telefono: +972 2 6586676 Fax: +972 7 22447007	IL (JERUSALEM)	hostInstitution	1˙107˙000.00

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 Obiettivo del progetto (Objective)

'We propose to study the fractal geometry of invariant sets for endomorphisms of compact abelian groups, specifically a family of conjectures by Furstenberg on the dimensions of orbit closures under such dynamics, and on the size of sums and intersections of invariant sets. These conjectures are related to problems on expansion in integer bases, in Diophantine approximation, measure rigidity, analysis and equidistribution. The project focuses on the conjectures themselves and some related problems, e.g. Bernoulli convolutions, and on applications to equidistribution on tori. Our approach combines tools from ergodic theory, geometric measure theory and additive combinatorics, building on recent progress in these fields and recent partial results towards the main conjectures.'