Research-Fractal geometry, dynamics and Diophantine approximations: the Markov and Lagrange spectra

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Fractal geometry, dynamics and Diophantine approximations: the Markov and Lagrange spectra

Speaker: Carlos Moreira (Instituto de Matemática Pura e Aplicada )
Time: Jun 17, 2019, 11:00-12:00
Location: Conference Room 415, Hui Yuan 3#

We will discuss some recent results on the fractal geometry of the Markov and Lagrange spectra from Diophantine approximations, and their set difference. We will relate these results to symbolic dynamics, continued fractions and to the study of the fractal geometry of arithmetic sums of regular Cantor sets, a subject also related to the study of homoclinic bifurcations in Dynamical Systems.