Unique ergodicity of hedgehogs

We prove that the dynamics on a non-linearizable hedgehog is uniquely ergodic. This solves a conjecture of the author formulated in 1995. Its unique invariant probability measure is the Dirac mass at the indifferent fixed point. The proof relies on the techniques of quasi-invariant curves and the hyperbolic form of the Denjoy-Yoccoz lemma developed by the author.