Pregled bibliografske jedinice broj: 1232219
Tales on two commuting transformations or flows
Tales on two commuting transformations or flows // 8th European Congress of Mathematics
Online, Porto, 2021. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 1232219 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Tales on two commuting transformations or flows
Autori
Kovač, Vjekoslav
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
8th European Congress of Mathematics
Mjesto i datum
Online, Porto, 20-26.06.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
multiple ergodic average ; convergence in mean ; convergence almost everywhere ; Calderon transference principle
Sažetak
We will give an overview of conjectures, results, and techniques related to long-term dynamics of two commuting measure-preserving actions of Z or R on a probability space. All problems will be approached via the Calderon transference principle, reducing the questions on convergence of various ergodic averages to boundedness of integral operators on the Euclidean space. This scheme might be an overkill when merely establishing convergence, but it is usually very quantitative and appealing to harmonic analysts. The talk will be based on several papers coauthored with M. Christ, P. Durcik, J. Roos, K. A. Škreb, and C. Thiele.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-7491 - Dinamička i ergodička svojstva preslikavanja na plohama (DEPOMOS) (Štimac, Sonja, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Vjekoslav Kovač
(autor)