Naslov
Stability of invariant measures

Autori
Slijepčević, Siniša

Izvornik
Discrete and continuous dynamical systems (1078-0947) 24 (2009), 4; 1345-1363

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
invariant measure; weak* topology; optimal transport problem; exponential stability

Sažetak
We generalize various notions of stability of invariant sets of dynamical systems to invariant measures, by defining a topology on the set of measures. The defined topology is similar, but not topologically equivalent to weak* topology, and it also differs from topologies induced by the Riesz Representation\Theorem. It turns out that the constructed topology is a solution of a limit case of a $p$-optimal transport problem, for $p=\infty$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA