Concave Perron-Frobenius Theory and applications

Many important results of classical Perron-Frobenius Theory can be extended from linear selfmappings of the standard cone in finite dimensional real s pace to concave selfmappings of this cone. This is in particular true for m inima of linear mappings, albeit the spectrum of these special concave mapp ings is more intricate than that for linear mappings. As classical Perron-F robenius Theory has numerous applications there are many new applications f or its concave extension.