For and , we study weighted transfer operators associated to a piecewise expanding map on a compact manifold of dimension , and a piecewise weight , acting on Sobolev spaces. We bound the essential spectral radius in terms of a topological pressure for a subadditive potential. Under a new small boundary pressure condition, we improve the estimate by establishing a variational principle for piecewise expanding maps and subadditive potentials.
Thermodynamic formalism for piecewise expanding maps in finite dimension
Castorrini, Roberto
2024-01-01
Abstract
For and , we study weighted transfer operators associated to a piecewise expanding map on a compact manifold of dimension , and a piecewise weight , acting on Sobolev spaces. We bound the essential spectral radius in terms of a topological pressure for a subadditive potential. Under a new small boundary pressure condition, we improve the estimate by establishing a variational principle for piecewise expanding maps and subadditive potentials.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
2024_DiscreteContinDynSyst_44_Baladi.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non pubblico
Dimensione
504.97 kB
Formato
Adobe PDF
|
504.97 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
PostPrint_2024_DiscreteContinDynSyst_44_Baladi.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
416.7 kB
Formato
Adobe PDF
|
416.7 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.