CORDIS Project
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This project explores equidistribution phenomena in mathematics, focusing on random walks and their connections to number theory and fractal geometry. It aims to address unresolved problems related to spectral gaps and the arithmetic properties of polynomials, linking diverse mathematical fields.
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, Lehm…
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