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Perron matrix semigroups

Perron matrix semigroups

Perron matrix semigroups

We consider multiplicative semigroups of real dxd matrices. A semigroup is called Perron if each of its matrices has a Perron eigenvalue, i.e., an eigenvalue equal to the spectral radius. By the Krein-Rutman theorem, a matrix leaving some cone invariant possesses a Perron eigenvalue. Therefore, if a…

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