#	Pagina
attuale pagina	/open-h2020/projects/217961/index.html

Opendata, web and dolomites

EFMA SIGNED

Equidistribution, fractal measures and arithmetic

Total Cost €

EC-Contrib. €

Partnership

Views

EFMA project word cloud

Explore the words cloud of the EFMA project. It provides you a very rough idea of what is the project "EFMA" about.

progress gap deeply equidistribution actions lehmer lies seem phenomena stationary polynomials connected galois families central group examine furstenberg kinds separation erdos groups coefficients regarding convolutions lie arithmetic spectral estimates additive boundary dramatic resolve directions bounded operators self affine random exploring gain theory lines fractal irreducibility subject bounds combinatorics bernoulli geometry finite algebraic linked averaging crossroads conjecture walks unrelated 1939 regularity

Project "EFMA" data sheet

The following table provides information about the project.

Coordinator	THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE Organization address address: TRINITY LANE THE OLD SCHOOLS city: CAMBRIDGE postcode: CB2 1TN website: www.cam.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Total cost	1˙334˙109 €
EC max contribution	1˙334˙109 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2018-STG
Funding Scheme	ERC-STG
Starting year	2018
Duration (year-month-day)	from 2018-10-01 to 2023-09-30

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE Organization address address: TRINITY LANE THE OLD SCHOOLS city: CAMBRIDGE postcode: CB2 1TN website: www.cam.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (CAMBRIDGE)	coordinator	1˙334˙109.00

Map

Project objective

The subject of this proposal lies at the crossroads of analysis, additive combinatorics, number theory and fractal geometry exploring equidistribution phenomena for random walks on groups and group actions and regularity properties of self-similar, self-affine and Furstenberg boundary measures and other kinds of stationary measures. Many of the problems I will study in this project are deeply linked with problems in number theory, such as bounds for the separation between algebraic numbers, Lehmer's conjecture and irreducibility of polynomials.

The central aim of the project is to gain insight into and eventually resolve problems in several main directions including the following. I will address the main challenges that remain in our understanding of the spectral gap of averaging operators on finite groups and Lie groups and I will study the applications of such estimates. I will build on the dramatic recent progress on a problem of Erdos from 1939 regarding Bernoulli convolutions. I will also investigate other families of fractal measures. I will examine the arithmetic properties (such as irreducibility and their Galois groups) of generic polynomials with bounded coefficients and in other related families of polynomials.

While these lines of research may seem unrelated, both the problems and the methods I propose to study them are deeply connected.

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "EFMA" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "EFMA" are provided by the European Opendata Portal: CORDIS opendata.