Dynamical Systems
Seminars in 2018-19
In 2018-19, the organiser of the Dynamical Systems seminar was Dr Daniel Meyer.
Seminars
Speaker: Anna Miriam Benini (University of Barcelona)
Title: An Extended Fatou-Shishikura inequality
Time: Friday August 9, 2019, 14:00-15:00
Place: Room MATH-117
Abstract: It is classically known that the existence of non-repelling periodic points is connected to the presence of a singular value 'near by'- for example, attracting and parabolic basins need to contain at least one singular value. For repelling periodic points, singular values come into play when the periodic point in question is not the landing point of any periodic ray. In this talk we will show how to associate a specific singular orbit to every non-repelling cycle, as well as to every repelling cycle whose points are not landing points of periodic rays. This gives a version of the Fatou-Shishikura inequality which takes into account such repelling cycles. This is joint work with N. Fagella.
Speaker: Eero Saksman (University of Helsinki)
Title: Decompositions of log-correlated fields with applications
Time: Friday August 9, 2019, 13:00-14:00
Place: Room MATH-117
Abstract: We consider a simple idea to decompose of log-correlated Gaussian fields into two-parts, both of which behave well in suitable sense. Applications include Onsager type inequalities in all dimensions, analytic dependence and existence of critical chaos measures for a large class of log-correlated fields. Talk is based on joint work with Janne Junnila (EPFL) and Christian Webb (Aalto University).