| Grant Agreement | University of Jyvskäylä Press Release |
The Jyväskylä Geometry seminar is on Mondays afternoons
in the Department of Mathematics and Statistics.
The meeting is usually from 14:15 to 16:00 in room MaD 380.
Please, check in advance the calendar below.
|19/March/2018||On the Entropy of Hilbert Geometries of Low regularities|
Louis Merlin (Universite du Luxembourg)
The volume entropy of a metric measure space is the exponential growth rate of volumes of balls. A recent result of N. Tholozan shows that, in the context of Hilbert geometries, entropy can never exceed the hyperbolic entropy (n-1 in dimension n). This result is absolutely not rigid and in fact, maximal entropy is achieved as soon as the boundary is sufficiently regular. This leads to the general question on the relation between the regularity of the convex set and the value of the volume entropy. The aim of this talk is to present two results which state that the relation does exist. This is a joint work with J. Cristina. In a first part of the talk, I'll carefully explain what are Hilbert geometries and try to give a feeling on the behavior of volume entropy in those spaces.
|February/2018||On the Entropy of Hilbert Geometries of Low regularities|
Soon preprints related to ERC GeoMeG will be available in this space.