ΕΚΔΗΛΩΣΕΙΣ

SEMINAR: FUNCTIONAL ANALYSIS AND OPERATOR ALGEBRAS ΣΥΝΑΡΤΗΣΙΑΚΗ ΑΝΑΛΥΣΗ ΚΑΙ ΑΛΓΕΒΡΕΣ ΤΕΛΕΣΤΩΝ - ISOPERIMETRIC CONSTANTS OF METRIC PROBABILITY SPACES

Παρασκευή 04 Δεκεμβρίου 2020 ZOOM

Friday, December 4, 15:00 Athens time (UTC+2)

Speaker: Apostolos Giannopoulos, NKUA

Title: Isoperimetric constants of metric probability spaces

Abstract: In this first talk we shall introduce four isoperimetric constants (the Cheeger constant, the Poincare constant, the exponential concentration constant and the first moment concentration constant) associated with a Borel probability measure on R^n and discuss their relation. We shall review classical results of Maz'ya, Cheeger, Gromov, V. Milman, Buser, Ledoux and others, as well as a theorem of E. Milman which establishes the equivalence of all four constants in the log-concave setting.

For Zoom meeting coordinates and additional information see the seminar webpage

http://users.uoa.gr/~akatavol/anak2021.html