In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptotic stability of certain Markov operators that have appeared in the study of the Tjon-Wu equation and in connection with the Hannsgen and Tyson model of the cell cycle.
📌 3 Key Takeaways
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Objective & Hypothesis:In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptotic stability of certain Markov operators that have appeared in the study of the Tjon-Wu equation and in connection with the Hannsgen and Tyson model of the cell cycle.
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Key Findings & Data:In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptotic stability of certain Markov operators that have appeared in the study of the Tjon-Wu equation and in connection with the Hannsgen and Tyson model of the cell cycle.
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Conclusion & Impact:In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptotic stability of certain Markov operators that have appeared in the study of the Tjon-Wu equation and in connection with the Hannsgen and Tyson model of the cell cycle.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2000) · 109-120. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptotic stability of certain Markov operators that have appeared in the study of the Tjon-Wu equation and in connection with the Hannsgen and Tyson model of the cell cycle.
Özet
In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptotic stability of certain Markov operators that have appeared in the study of the Tjon-Wu equation and in connection with the Hannsgen and Tyson model of the cell cycle.
ZAHAROPOL, R. (2022). A Local Zero-Two Law and Some Applications. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 1, 109–120. https://ajindex.com/articles/608940