Nonlinear Perron-Frobenius Theory and Dynamics of Cone Maps.

In this paper several recent results concerning the dynamics of order preserving (sub)homogeneous maps on polyhedral cones are reviewed. These results were obtained by the author in collaboration with Marianne Akian, Stéphane Gaubert, Roger Nussbaum, Michael Scheutzow and Colin Sparrow in [2], [13] and [15], and are new nonlinear extensions of the Perron-Frobenius theory. [ABSTRACT FROM AUTHOR]