Multidimensional continued fractions and symbolic dynamics for toral translations

ABSTRACT: 

We give a dynamical, symbolic and geometric interpretation to multi-dimensional continued fractions algorithms. For some strongly convergent algorithms, the construction gives symbolic dynamics of sublinear complexity for almost all toral translations; it can be used to obtain a symbolic model of the diagonal flow on lattices in $\mathbb R^3$.

Date: May 31, 2018 at 16:30 h
Venue: Sala de Seminarios John Von Neumann CMM, Torre Norte, Piso 7 de Beauchef 851.
Speaker: Pierre Arnoux
Affiliation: Université Aix-Marseille, Francia
Coordinator: Prof. Cristobal Rivas
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Posted on May 24, 2018 in Dynamical Systems, Seminars