The Perron-Frobenius Theorem for Markov Semigroups

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Hijab, Omar;
  • Subject: 47D07 (Primary) 58J65, 52A40 (Secondary) | Mathematics - Functional Analysis
    arxiv: Mathematics::Representation Theory | Mathematics::Classical Analysis and ODEs | Mathematics::Analysis of PDEs | Mathematics::Probability | Mathematics::Operator Algebras

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 $e^{\lambda_0t}$ of $P^V_t$, simult... View more
  • References (22)
    22 references, page 1 of 3

    dπ ≤ Z dµ ≥ 0 f ∈ C(X).

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