◈ 학술지
◈ 도서
◈ 전자학술지
◈ 투고요령
◈ 수학신간도서
◈ MSC
◈ 논문검색
◈ 학술행사
홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
A Multivariate extreme value law (EVL) for maximal geodesic windings around distinct cusps
Speaker
Maxim Kirsebom   (Univ. Bremen )
Date
2017-05-18 10:55:00
Host
SNU
Place
129-406
Abstract
In this talk I will describe results that extend the the work of Jaerisch, Kesseböhmer and Stratmann on univariate EVLs for cuspidal windings of geodesics on H^2/Gamma where Gamma is a certain kind of Fuchsian group. For this kind of Gamma, H^2/Gamma may have multiple cusps and many natural questions as to the behavior of geodesics in distinct cusps arise. We answer several such questions using multivariate extreme value theory.
The question of EVLs for maximal cuspidal excursions of geodesics was brought to life by Pollicott in 2006 when he demonstrated that a result of Galambos from 1972 concerning an EVL for entries of continued fractions expansions, could be translated into a statement about cuspidal excursions of geodesics on H^2/PSL(2,Z). This translation uses the coding theory for geodesics developed by Series and others.
개인정보보호정책 l 이메일주소집단수집금지 l 뷰어다운로드
qr코드