Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps

Introduction Basic properties of admissible arrays Further properties of admissible arrays Computation of the sets $P(n)$ Necessary conditions for array admissible sets Proof of Theorem C $P(n)\ne Q(n)$ for general $n$ $P_2(n)$ satisfies rule A and rule B The case of linear maps Bibliography Appendix A Description of the program Appendix B Numerical data.