STEVT

Connections between Shrinking Target Problems and Extreme Value Theory
Dr. Maxim Kirsebom, Dr. Philipp Kunde and Prof. Dr. Jörg Schmeling, Dr. Tomas Persson

Faculty of Mathematics, Informatics and Natural Sciences / Department of Mathematics

Co-applicant university: Lund University

Term: 2018-2019

In this research project we aim to expand the mathematical framework used to answer questions related to recurrence in dynamical systems, more precisely shrinking target problems, extreme value theory, and Borel–Cantelli lemmata. We will also investigate the connection with Diophantine approximation and fractal geometry. Our intention is to combine the methods developed independently by the groups in Lund and Hamburg to achieve further results.