Palestras e Seminários
20/09/2023
14:00
Sala 3010
Palestrante: Rafael de Oliveira Moura
https://us02web.zoom.us/j/84738264814?pwd=T2VFT3pSSDlLdVZYZXQzNlBXNTk4Zz09
Responsável: Yessica Yulieth Julio Pérez (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Modo: Presencial
Seminários em Dinâmica não-linear
Resumo: We present new findings regarding how we can use the Hausdorff dimension of a subset A of an Euclidean space to find projections onto lower-dimensional spaces that are injective in A. We first introduce a version of Mañe's theorem for finite dimensional spaces and orthogonal projections, showing that the proof in this case is more intuitive, and the hypothesis over the Hausdorff dimension is improved and becomes optimal. We also show that information on Hausdorff dimension is not enough to achieve Hölder continuity on the inverse of the injective projections, but the box-counting dimension can be used in this sense.
