Dynamics of Dendric Subshifts

Explore a 29-minute lecture on the dynamics of dendric subshifts presented by Bastian Espinoza at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) during the Workshop on "Uniform Distribution of Sequences." Discover how dendric subshifts serve as a recent generalization of both interval exchange transformations and Arnoux-Rauzy subshifts while maintaining their essential properties. Learn why these mathematical structures provide an appropriate framework for designing low complexity multidimensional continued fraction algorithms, making them fascinating objects from dynamical, geometric, and combinatorial perspectives. The presentation covers new findings regarding the dynamical factors and S-adic structure of dendric subshifts, representing collaborative research with Julien Leroy and Pierre Stas.