### Dimension function of the Lagrange and Markov spectra

Ergodic Theory and Dynamical Systems Seminar

26th January 2023, 2:00 pm – 3:00 pm

Fry Building, G.07

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).

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