We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class C^r with r>1 and belongs to a finite-codimension linear subspace.

We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class Cr with r> 1 and belongs to a finite-codimension linear subspace.

Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps

MARMI, Stefano;YOCCOZ, JEAN CHRISTOPHE
2016-01-01

Abstract

We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class C^r with r>1 and belongs to a finite-codimension linear subspace.
2016
Settore MAT/07 - Fisica Matematica
File in questo prodotto:
File Dimensione Formato  
CIMP-D-14-00838.pdf

accesso aperto

Tipologia: Accepted version (post-print)
Licenza: Sola lettura
Dimensione 646.42 kB
Formato Adobe PDF
646.42 kB 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/11384/65305
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 10
social impact