Bas Lemmens

Iteration of order preserving subhomogeneous maps on a cone

We investigate the iterative behaviour of continuous order preserving subhomogeneous maps

Continuity of the cone spectral radius

f: K\,{\rightarrow}\, K

On the dynamics of sup-norm non-expansive maps

, where

ISOMETRIES OF POLYHEDRAL HILBERT GEOMETRIES

K

Lower and upper bounds for ω-limit sets of nonexpansive maps☆

is a polyhedral cone in a finite dimensional vector space. We show that each bounded orbit of

Stability and convergence in discrete convex monotone dynamical systems

f

Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces

converges to a periodic orbit and, moreover, the period of each periodic point of

Iteration of linear p-norm nonexpansive maps

f

Isometries of infinite dimensional Hilbert geometries

is bounded by \[ \beta_N = \max_{q+r+s=N}\frac{N!}{q!r!s!}= \frac{N!}{\big\lfloor\frac{N}{3}\big\rfloor!\big\lfloor\frac{N\,{+}\,1}{3}\big\rfloor! \big\lfloor\frac{N\,{+}\,2}{3}\big\rfloor!}\sim \frac{3^{N+1}\sqrt{3}}{2\pi N}, \] where

A note on periodic points of order preserving subhomogeneous maps

N