FRACTALSANDMETRICNT
"Fractals, algebraic dynamics and metric number theory"
| Coordinatore | THE HEBREW UNIVERSITY OF JERUSALEM.
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
| # | ||||
|---|---|---|---|---|
| 1 |
THE HEBREW UNIVERSITY OF JERUSALEM.
Organization address
address: GIVAT RAM CAMPUS contact info |
IL (JERUSALEM) | hostInstitution | 1˙107˙000.00 |
| 2 |
THE HEBREW UNIVERSITY OF JERUSALEM.
Organization address
address: GIVAT RAM CAMPUS contact info |
IL (JERUSALEM) | hostInstitution | 1˙107˙000.00 |
Mappa
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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.'