Speaker
Rubio Gunawan The
(SISSA)
Description
We construct an example of a smooth circle covering map topologically conjugate to the doubling map, such that it has a physical measure supported on a hyperbolic repelling fixed point. By relaxing the smooth condition at a single point, we also construct an example where the basin of the physical measure has full measure. A key technical step is a realization lemma of independent interest, which gives a canonical way to construct a full branch map given its induced map.
Author
Rubio Gunawan The
(SISSA)