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- W4387355823 abstract "In this paper, we utilize the framework of Markov processes to attain a more probabilistic perspective on the theory of transfer operators. In doing so, we establish a FLCT for an $O(N)$ model associated with Dyson potentials on the one-dimensional lattice (both compact and non-compact alphabets). We prove a Breimann ergodic theorem for equilibrium measures arising from the Ruelle Operator Formalism. Furthermore, we obtain a qualitative criterion (strong transitivity) to determine when the conformal measure has full support." @default.
- W4387355823 created "2023-10-05" @default.
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- W4387355823 date "2023-10-02" @default.
- W4387355823 modified "2023-10-06" @default.
- W4387355823 title "Some Probabilistic Properties of General Topological Markov Chains" @default.
- W4387355823 doi "https://doi.org/10.48550/arxiv.2310.01697" @default.
- W4387355823 hasPublicationYear "2023" @default.
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