Abstract (EN):
Let p and q be two relatively prime positive integers and mu a Borel probability measure invariant and ergodic by the semigroup generated by the action of both z(p) and z(q). We analyse sufficient conditions to guarantee that mu. is either the Lebesgue measure or supported on a periodic orbit. And extend the results for general expanding differentiable maps of the circle.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
31