A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points
Let f be a circle homeomorphism with countably many break points that is, differentiable except in countably many points where the derivatives have a jump. Assuming its rotation number ρ to be irrational, we provide a necessary condition for the absolute continuity of invariant measure with respect...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Pushpa Publishing House
2017
|
| Subjects: |