ERC Starting Grant · 2018
Equidistribution, fractal measures and arithmetic
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…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.