Dimension theory of self-similar sets and measures – Michael Hochman – ICM2018 скачать в хорошем качестве

Dimension theory of self-similar sets and measures – Michael Hochman – ICM2018

Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.7 Dimension theory of self-similar sets and measures Michael Hochman Abstract: We report on recent results about the dimension and smoothness properties of self-similar sets and measures. Closely related to these are results on the linear projections of such sets, and dually, their intersections with affine subspaces. We also discuss recent progress on the the Bernoulli convolutions problem. ICM 2018 – International Congress of Mathematicians © www.icm2018.org     Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente. The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.