6 apr 2016 -- 15:45
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Abstract.
Let f be an Anosov diffeomorphism of the n-dimensional torus Tn and τ a continuous self-mapping of Tn commuting with f.
We prove that τ is surjective if and only if the restriction of τ to each homoclinicity class of f is injective.
This is an analogue of the celebrated Garden of Eden theorem of Moore and Myhill in symbolic dynamics.
This is joint work with Tullio Ceccherini-Silberstein (see arXiv:1506.06945 and arXiv:1508.07553).