On the spectrum of Markov semigroups via sample path large deviations

DOI10.1007/s00440-004-0410-7zbMath1207.60020arXivmath/0411221OpenAlexW2014345279MaRDI QIDQ816984

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Publication date: 2 March 2006

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411221

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Queueing theory (aspects of probability theory) (60K25) Markov semigroups and applications to diffusion processes (47D07) Large deviations (60F10)

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Computable Bounds on the Spectral Gap for Unreliable Jackson Networks

Cites Work

• Non-negative matrices and Markov chains. 2nd ed
• Ergodic properties of nonnegative matrices. II
• Essential spectral radius for Markov semigroups. I: Discrete time case
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• Ergodic properties of nonnegative matrices. I
• Large deviations for processes with discontinuous statistics
• General Irreducible Markov Chains and Non-Negative Operators
• Brownian motion in a wedge with oblique reflection
• Random Walks on Infinite Graphs and Groups
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