In the last years, an extremely powerful method has been developed: the functional approach. It consists in the study of the spectral properties of the transfer operators on suitable Banach spaces. In this work we apply this approach to partially hyperbolic systems in two dimensions, establishing the germ of a general theory. To illustrate the scope of the theory, the results are used in the case of fast-slow partially hyperbolic systems, pointing out how to pursue the arguments for further progresses.

Quantitative statistical properties for two dimensional partially hyperbolic systems / Castorrini, Roberto. - (2020 Oct 08).

Quantitative statistical properties for two dimensional partially hyperbolic systems

CASTORRINI, ROBERTO
2020

Abstract

In the last years, an extremely powerful method has been developed: the functional approach. It consists in the study of the spectral properties of the transfer operators on suitable Banach spaces. In this work we apply this approach to partially hyperbolic systems in two dimensions, establishing the germ of a general theory. To illustrate the scope of the theory, the results are used in the case of fast-slow partially hyperbolic systems, pointing out how to pursue the arguments for further progresses.
Partially Hyperbolic Systems; Transfer Operators; Decay of Correlations
Quantitative statistical properties for two dimensional partially hyperbolic systems / Castorrini, Roberto. - (2020 Oct 08).
File in questo prodotto:
File Dimensione Formato  
2020_PhDThesis_Castorrini.pdf

accesso aperto

Descrizione: Doctoral Thesis
Tipologia: Tesi di dottorato
Licenza: Accesso gratuito
Dimensione 2.62 MB
Formato Adobe PDF
2.62 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/10321
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact