CRM: Centro De Giorgi
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Computer-assisted proofs, proof assistants and visualization in dynamical systems

Dimension function of the Lagrange and Markov spectra

speaker: Polina Vytnova (University of Surrey)

abstract: I will discuss an approach for computing the Hausdorff dimension of an intersection of the classical Lagrange and Markov spectra with half-infinite ray d(t) = dim(M \cap (−∞,t)), that allows to plot a graph of the function d(t) with high accuracy. The talk is based on a recent joint work with Carlos Gustavo Moreira and Carlos Matheus Santos (arxiv:2212.11371).


timetable:
Fri 21 Jun, 9:00 - 9:50, Aula Dini
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