Dimension function of the Lagrange and Markov spectra

21 Jun 2024, 09:00
50m
PISA

PISA

Scuola Normale Superiore, Via del Castelletto, 11, 56126 Pisa PI

Speaker

Polina Vytnova (University of Surrey)

Description

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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