On transfer operators and maps with random holes
Författare
Summary, in English
We study Markov interval maps with random holes. The holes are not necessarily elements of the Markov partition. Under a suitable, and physically relevant, assumption on the noise, we show that the transfer operator associated with the random open system can be reduced to a transfer operator associated with the closed deterministic system. Exploiting this fact, we show that the random open system admits a unique (meaningful) absolutely continuous conditionally stationary measure. Moreover, we prove the existence of a unique probability equilibrium measure supported on the survival set, and we study its Hausdorff dimension.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2015
Språk
Engelska
Sidor
713-727
Publikation/Tidskrift/Serie
Nonlinearity
Volym
28
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
London Mathematical Society / IOP Science
Ämne
- Mathematics
Nyckelord
- Transfer operators
- Escape rates
- Hausdorff dimension
Status
Published
Forskningsgrupp
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 0951-7715