Publication: On Roth type conditions, duality and central Birkhoff sums for i.e.m.
On Roth type conditions, duality and central Birkhoff sums for i.e.m.
Date
Date
Date
Citations
Marmi, S., Ulcigrai, C., & Yoccoz, J.-C. (2020). On Roth type conditions, duality and central Birkhoff sums for i.e.m. Astérisque, 416, 65–132. https://doi.org/10.24033/ast.1111
Abstract
Abstract
Abstract
We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m.) and translation surfaces: the absolute Roth type condition is a weakening of the notion of Roth type i.e.m., while the dual Roth type condition is a condition on the backward rotation number of a translation surface. We show that results on the cohomological equation previously proved in MY for restricted Roth type i.e.m. (on the solvability under finitely many obstructions and the regularity of the solutions) can be extended to restricted
Additional indexing
Creators (Authors)
- Marmi, Stefano
- Ulcigrai, Corinna
Volume
Volume
Volume
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Keywords
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Publisher DOI
Citations
Marmi, S., Ulcigrai, C., & Yoccoz, J.-C. (2020). On Roth type conditions, duality and central Birkhoff sums for i.e.m. Astérisque, 416, 65–132. https://doi.org/10.24033/ast.1111
