Pregled bibliografske jedinice broj: 1261485
A sufficient condition for non-zero entropy of closed relations on [0,1]
A sufficient condition for non-zero entropy of closed relations on [0,1] // Book of Abstracts 7th Croatian mathematical Congress
Split, Hrvatska, 2022. str. - (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1261485 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A sufficient condition for non-zero entropy of
closed relations on [0,1]
Autori
Erceg, Goran ; Banič, Iztok ; Kennedy, Judy
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts 7th Croatian mathematical Congress
/ - , 2022
ISBN
978-953-7155-24-7
Skup
7th Croatian Mathematical Congress
Mjesto i datum
Split, Hrvatska, 15.06.2022. - 18.06.2022
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Entropy ; topological conjugacy ; periodic points ; finitely generated sets
Sažetak
We introduce the topological entropy of a closed relation G on any compact metric space X. We show that periodic points, fi nitely generated Cantor sets, Mahavier products and the entropy of closed relations are preserved by topological conjugations. This generalizes the well-known results about the topological conjugacy of continuous mappings. We prove a theorem, giving sufficient conditions for a closed relation G on [0, 1] to have a non-zero entropy. Then we present various examples of closed relations G on [0, 1] with non-zero entropy.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
