Pergamos - Library and Information Center of National and Kapodistrian University of Athens

Unit:

Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science

Deposit date:

2023-05-04

Year:

2023

Author:

Armeniakos Sotirios

Supervisors info:

Απόστολος Γιαννόπουλος, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Παντελής Δοδός, Αναπληρωτής Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Αριστείδης Κατάβολος, Ομότιμος Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ

Original Title:

Λογαριθμικές εκτιμήσεις για την εικασία Kannan-Lovasz-Simmonovits και την ισοτροπική σταθερά

Languages:

Greek

Translated title:

Logarithmic estimates for the Kanna-Lovasz-Simmonovits conjecture and the isotropic constant

Summary:

In this thesis , we present logarithmic estimates for the isoperimetric constant for log concave isotropic probability measures. We discuss the geometry of convex bodies and prove some classical results conscerning the constant. Also we give a background on stochastic calculus and we present the proccess of stochastic localization. In the appendix we also present some elements of operator theory and functional analysis which are used in the thesis.

Main subject category:

Science

Keywords:

Convex Geometry, Functional Analysis , Stochastic Calculus

Index:

Number of index pages:

Contains images:

Number of references:

Number of pages:

148

File:

https://pergamos.lib.uoa.gr/uoa/dl/object/3325582/file.pdf