A criterion of robust transitivity for endomorphisms on the torus

Martin Andersson (UFF)

In this talk we will present a new criterion for the robust transitivity of partially hyperbolic endomorphisms of T2
whose action in homology has two integer eigenvalues greater than one. The criterion says that if the Jacobian
at every point is larger than the spectral radius of the action in homology, then the endomorphism is robustly
transitive. To obtain this result we introduce Blichfeldts Theorem as a tool to extract dynamical information from
the action of a map in homology. This is a joint work with Wagner Ranter..