With A. Gogolev we show that "very non-algebraic" expanding maps "shearing same jacobians" are smoothly isomorphic.
In this talk I will explain these terms and show a more detailed theorem that give a very good criterium for smooth isomorphism of expanding maps.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/3050