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The spectral gap and perturbation bounds for reversible continuous-time Markov chains

https://doi.org/10.1239/jap/1101840568
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/0167-7152(93)90011-7openalex-snapshot
Sensitivity of finite Markov chains under perturbation
inferredcites →https://doi.org/10.1016/s0024-3795(01)00320-2openalex-snapshot
Comparison of perturbation bounds for the stationary distribution of a Markov chain
inferredcites →https://doi.org/10.1017/s0021900200018684openalex-snapshot
Empirical convergence rates for continuous-time Markov chains
inferredcites →https://doi.org/10.1137/s0895479892228900openalex-snapshot
Sensitivity of the Stationary Distribution of a Markov Chain
inferredcites →https://doi.org/10.1239/jap/1067436094openalex-snapshot
Stability and exponential convergence of continuous-time Markov chains

What points at this work

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Two-Sided Bounds on the Rate of Convergence for Continuous-Time finite Inhomogeneous Markov Chains
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Bounding the Rate of Convergence for One Class of Finite Capacity Time Varying Markov Queues
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On perturbation bounds for continuous-time Markov chains
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Two-sided bounds on the rate of convergence for continuous-time finite inhomogeneous Markov chains
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Lower bounds for the rate of convergence for continuous-time inhomogeneous Markov chains with a finite state space
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On obtaining sharp bounds of the rate of convergence for a class of continuous-time Markov chains
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Comparison theorem and stability under perturbation of transition rate matrices for regime-switching processes
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Author Index
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Spectral Theory for Weakly Reversible Markov Chains
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Quantitative Estimates in an M2/G2/1 Priority Queue with Non-Preemptive Priority: The Method of Strong Stability
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Perturbation Bounds forMt/Mt/NQueue with Catastrophes
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Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics
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On the Study of Forward Kolmogorov System: the Corresponding Problems and Bounds for Inhomogeneous Continuous-time Markov Chains and Models
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Sensitivity of hidden Markov models
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Series Expansions for Continuous-Time Markov Processes
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Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services
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Stochastic Processes
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The Arsenal of Perturbation Bounds for Finite Continuous-Time Markov Chains: A Perspective
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Markov-Chain Perturbation and Approximation Bounds in Stochastic Biochemical Kinetics
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On the Rate of Convergence and Limiting Characteristics for a Nonstationary Queueing Model
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Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains
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On three methods for bounding the rate of convergence for some continuous-time Markov chains
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On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs
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On the Three Methods for Bounding the Rate of Convergence for some Continuous-time Markov Chains
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