Pregled bibliografske jedinice broj: 1151553
Statistical stability and linear response for random hyperbolic dynamics
Statistical stability and linear response for random hyperbolic dynamics // Ergodic theory & dynamical systems, 43 (2023), 515-544 doi:10.1017/etds.2021.153 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1151553 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Statistical stability and linear response for random
hyperbolic dynamics
Autori
Dragičević, Davor: Sedro, Julien
Izvornik
Ergodic theory & dynamical systems (0143-3857) 43
(2023);
515-544
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
random hyperbolic dynamics ; linear response: statistical stability
Sažetak
We consider families of random products of close- by Anosov di eomorphisms, and show that statistical stability and linear response hold for the associated families of equivariant and stationary measures. Our analysis relies on the study of the top Oseledets space of a parametrized transfer operator cocycle, as well as ad-hoc abstract perturbation statements. As an application, we show that, when the quenched central limit theorem holds, under the conditions that ensure linear response for our cocycle, the variance in the CLT depends di erentiably on the parameter.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-1239 - Operatori pomaka, statistički zakoni i beskonačno-dimenzionalni dinamički sustavi (TOSLDS) (Dragičević, Davor, HRZZ - 2019-04) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
