Recurrence and non-ergodicity in generalized wind-tree models
classification
🧮 math.DS
math-phmath.MP
keywords
generalizedmodelsnon-ergodicityrecurrencewind-treecompactconsidercovers
read the original abstract
In this paper, we consider generalized wind-tree models and $\Z^d$-covers over compact translation surfaces. Under suitable hypothesis, we prove recurrence of the linear flow in a generic direction and non-ergodicity of Lebesgue measure.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.