Dia: Dimecres 3 de desembre de 2025
Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Frank Trujillo, CRM
Títol: Hausdorff Dimension of Invariant Measures of AIETs
Resum: In this talk, we will discuss the Hausdorff dimension of invariant measures of affine interval exchange transformations (AIETs). AIETs are piecewise affine bijections of a bounded interval with a finite number of discontinuities. In general, these maps are uniquely ergodic, and their unique invariant probability measure is singular with respect to Lebesgue measure. We will provide explicit values for the Hausdorff dimension of this unique invariant probability measure for a particular class of AIETs, called self-similar AIETs.
This is joint work with P. Berk, K. Frączek, and Ł. Kotlewski.
Last updated: Mon Dec 1 19:47:29 2025