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arXiv · 1401.5892

The Perron-Frobenius Theorem for Markov Semigroups

Omar Hijab
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Abstract

Let $P^V_t$, $t\ge0$, be the Schrodinger semigroup associated to a potential $V$ and Markov semigroup $P_t$, $t\ge0$, on $C(X)$. Existence is established of a left eigenvector and right eigenvector corresponding to the spectral radius $e^{λ_0t}$ of $P^V_t$, simultaneously for all $t\ge0$. This is derived with no compactness assumption on the semigroup operators.

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Omar Hijab. 2014-01-23. The Perron-Frobenius Theorem for Markov Semigroups. https://arxiv.org/abs/1401.5892

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