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EFMA SIGNED

Equidistribution, fractal measures and arithmetic

Total Cost €

EC-Contrib. €

Partnership

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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.

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

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.

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