On the public citation graph

Stability and exponential convergence of continuous-time Markov chains

https://doi.org/10.1017/s0021900200020234
0 signed · 106 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/1526-4025(200010/12)16:4<235::aid-asmb415>3.0.co;2-sopenalex-snapshot
TheN-limit of spectral gap of a class of birth-death Markov chains
inferredcites →https://doi.org/10.1006/jtbi.2000.2024openalex-snapshot
A Probabilistic Model for Ligand–Cytoskeleton Transmembrane Adhesion: Predicting the Behavior of Microspheres on the Surface of Migrating Cells
inferredcites →https://doi.org/10.1007/bf02214660openalex-snapshot
Nash inequalities for finite Markov chains
inferredcites →https://doi.org/10.1007/bf02432876openalex-snapshot
Stability of birth-and-death processes
inferredcites →https://doi.org/10.1007/bf02673717openalex-snapshot
Nonstationary Markovian queues
inferredcites →https://doi.org/10.1007/bfb0074830openalex-snapshot
Stability for continuous-time nonhomogeneous Markov chains
inferredcites →https://doi.org/10.1016/0304-4149(94)90123-6openalex-snapshot
On strong ergodicity for nonhomogeneous continuous-time Markov chains
inferredcites →https://doi.org/10.1016/0304-4149(95)00028-6openalex-snapshot
Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
inferredcites →https://doi.org/10.1016/b0-12-369401-9/00623-9openalex-snapshot
Stochastic Processes in Physics and Chemistry
inferredcites →https://doi.org/10.1016/b978-0-444-52965-7.x5000-4openalex-snapshot
Stochastic Processes in Physics and Chemistry
inferredcites →https://doi.org/10.1016/s0025-5564(97)10009-8openalex-snapshot
Note on the non-homogeneous Prendiville process
inferredcites →https://doi.org/10.1016/s0304-4149(97)00085-9openalex-snapshot
The decay function of nonhomogeneous birth-death processes, with application to mean-field models
inferredcites →https://doi.org/10.1016/s0956-5663(97)00080-8openalex-snapshot
Investigation of stochastic fluctuations in the signal formation of microbiosensors
inferredcites →https://doi.org/10.1017/cbo9780511810817openalex-snapshot
Matrix Analysis
inferredcites →https://doi.org/10.1017/s000186780003281xopenalex-snapshot
Coefficients of ergodicity: structure and applications
inferredcites →https://doi.org/10.1017/s0021900200103699openalex-snapshot
Spectral representations of the transition probability matrices for continuous time finite Markov chains
inferredcites →https://doi.org/10.1023/a:1020212119497openalex-snapshot
On Ergodicity and Stability Estimates for Some Nonhomogeneous Markov Chains
inferredcites →https://doi.org/10.1093/imammb/17.3.263openalex-snapshot
Stochastic models for systems of interacting ion channels
inferredcites →https://doi.org/10.1137/1130034openalex-snapshot
Inequalities in Theorems of Ergodicity and Stability for Markov Chains with Common Phase Space. I
inferredcites →https://doi.org/10.1137/1130063openalex-snapshot
Inequalities in Theorems of Ergodicity and Stability for Markov Chains with Common Phase Space. II
inferredcites →https://doi.org/10.1214/aoap/1034968224openalex-snapshot
Logarithmic Sobolev inequalities for finite Markov chains
inferredcites →https://doi.org/10.1214/aoap/1177005980openalex-snapshot
Geometric Bounds for Eigenvalues of Markov Chains
inferredcites →https://doi.org/10.1214/aoap/1177005981openalex-snapshot
Eigenvalue Bounds on Convergence to Stationarity for Nonreversible Markov Chains, with an Application to the Exclusion Process
inferredcites →https://doi.org/10.2307/1426800openalex-snapshot
Coefficients of ergodicity: structure and applications
inferredcites →https://doi.org/10.2307/1426955openalex-snapshot
Coefficients of ergodicity: structure and applications

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.2526050openalex-extracted
Two-Sided Bounds on the Rate of Convergence for Continuous-Time finite Inhomogeneous Markov Chains
inferred← citeshttps://doi.org/10.1002/rsa.70007openalex-snapshot
Restart Perturbations for Reversible Markov Chains: Trichotomy and Pre‐Cutoff Equivalence
inferred← citeshttps://doi.org/10.1007/978-3-030-10534-1openalex-snapshot
Sensitivity Analysis: Matrix Methods in Demography and Ecology
inferred← citeshttps://doi.org/10.1007/978-3-030-10534-1_11openalex-snapshot
Sensitivity Analysis of Discrete Markov Chains
inferred← citeshttps://doi.org/10.1007/978-3-030-35713-9_8openalex-snapshot
Data-Driven Approximations of Dynamical Systems Operators for Control
inferred← citeshttps://doi.org/10.1007/978-3-030-44411-2_10openalex-snapshot
Bounding the Rate of Convergence for One Class of Finite Capacity Time Varying Markov Queues
inferred← citeshttps://doi.org/10.1007/978-3-030-56323-3_3openalex-snapshot
On the Study of Forward Kolmogorov System and the Corresponding Problems for Inhomogeneous Continuous-Time Markov Chains
inferred← citeshttps://doi.org/10.1007/978-3-032-05792-1_20openalex-snapshot
Numerical Errors in Quantitative System Analysis With Decision Diagrams
inferred← citeshttps://doi.org/10.1007/978-3-319-42105-6_10openalex-snapshot
Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes
inferred← citeshttps://doi.org/10.1007/s00009-020-1475-yopenalex-snapshot
Stability Estimates of Markov Semigroups on Abstract States Spaces
inferred← citeshttps://doi.org/10.1007/s00220-014-2188-5openalex-snapshot
Spectral Convergence Bounds for Classical and Quantum Markov Processes
inferred← citeshttps://doi.org/10.1007/s10955-020-02504-4openalex-snapshot
Response and Sensitivity Using Markov Chains
inferred← citeshttps://doi.org/10.1007/s10958-013-1633-xopenalex-snapshot
On the Ergodicity of some Continuous-Time Markov Processes*
inferred← citeshttps://doi.org/10.1007/s11134-013-9388-0openalex-snapshot
Perturbation bounds and truncations for a class of Markovian queues
inferred← citeshttps://doi.org/10.1007/s40072-017-0091-8openalex-snapshot
Explicit contraction rates for a class of degenerate and infinite-dimensional diffusions
inferred← citeshttps://doi.org/10.1016/bs.host.2025.01.005openalex-snapshot
Continuous-time Markov chains and models: Bounding via forward Kolmogorov system
inferred← citeshttps://doi.org/10.1016/j.amc.2019.01.032openalex-snapshot
On limiting characteristics for a non-stationary two-processor heterogeneous system
inferred← citeshttps://doi.org/10.1016/j.automatica.2014.12.001openalex-snapshot
The robustness of democratic consensus
inferred← citeshttps://doi.org/10.1016/j.jnnms.2014.10.004openalex-snapshot
Finding a continuous-time Markov chain via sparse stochastic matrices in manpower systems
inferred← citeshttps://doi.org/10.1016/j.laa.2011.07.046openalex-snapshot
Sensitivity analysis of discrete Markov chains via matrix calculus
inferred← citeshttps://doi.org/10.1016/j.laa.2017.07.022openalex-snapshot
Perturbation bounds and degree of imprecision for uniquely convergent imprecise Markov chains
inferred← citeshttps://doi.org/10.1016/j.mbs.2007.02.011openalex-snapshot
Convergence rate estimation for the TKF91 model of biological sequence length evolution
inferred← citeshttps://doi.org/10.1016/j.nahs.2019.02.009openalex-snapshot
Stability of regime-switching processes under perturbation of transition rate matrices
inferred← citeshttps://doi.org/10.1016/j.spl.2014.01.031openalex-snapshot
On perturbation bounds for continuous-time Markov chains
inferred← citeshttps://doi.org/10.1016/j.spl.2015.04.013openalex-snapshot
Two-sided bounds on the rate of convergence for continuous-time finite inhomogeneous Markov chains
inferred← citeshttps://doi.org/10.1016/j.spl.2018.01.001openalex-snapshot
Lower bounds for the rate of convergence for continuous-time inhomogeneous Markov chains with a finite state space
inferred← citeshttps://doi.org/10.1016/j.spl.2020.108730openalex-snapshot
On obtaining sharp bounds of the rate of convergence for a class of continuous-time Markov chains
inferred← citeshttps://doi.org/10.1016/j.tpb.2022.08.001openalex-snapshot
Rates of convergence in the two-island and isolation-with-migration models
inferred← citeshttps://doi.org/10.1017/apr.2025.3openalex-snapshot
Perturbation theory for killed Markov processes and quasi-stationary distributions
inferred← citeshttps://doi.org/10.1017/jpr.2023.54openalex-snapshot
Comparison theorem and stability under perturbation of transition rate matrices for regime-switching processes
inferred← citeshttps://doi.org/10.1017/jpr.2024.20openalex-snapshot
Perturbation analysis for continuous-time Markov chains in a weak sense
inferred← citeshttps://doi.org/10.1017/s0021900200008974openalex-snapshot
Spectral Theory for Weakly Reversible Markov Chains
inferred← citeshttps://doi.org/10.1017/s0021900200014546openalex-snapshot
Note on Zeifman's bounds on the rate of convergence for birth-death processes
inferred← citeshttps://doi.org/10.1051/ro/2021101openalex-snapshot
Ergodicity and perturbation bounds forMt/Mt/1 queue with balking, catastrophes, server failures and repairs
inferred← citeshttps://doi.org/10.1063/1.4795112openalex-snapshot
Perturbation bounds for quantum Markov processes and their fixed points
inferred← citeshttps://doi.org/10.1063/5.0021665openalex-snapshot
Universal upper estimate for prediction errors under moderate model uncertainty
inferred← citeshttps://doi.org/10.1063/5.0162105openalex-snapshot
Perturbation bounds for Markovian queueing models with catastrophes
inferred← citeshttps://doi.org/10.1080/15326340802427521openalex-snapshot
Quantitative Estimates in an M2/G2/1 Priority Queue with Non-Preemptive Priority: The Method of Strong Stability
inferred← citeshttps://doi.org/10.1080/15326349.2011.614900openalex-snapshot
Perturbation Bounds forMt/Mt/NQueue with Catastrophes
inferred← citeshttps://doi.org/10.1088/0022-3727/49/9/093001openalex-snapshot
Modeling stochasticity in biochemical reaction networks
inferred← citeshttps://doi.org/10.1103/physrevlett.133.107103openalex-snapshot
General Theory of Static Response for Markov Jump Processes
inferred← citeshttps://doi.org/10.1103/physrevlett.134.157101openalex-snapshot
Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
inferred← citeshttps://doi.org/10.1109/cdc.2014.7039957openalex-snapshot
Robustness of Large-Scale Stochastic Matrices to Localized Perturbations
inferred← citeshttps://doi.org/10.1109/icct56057.2022.9976673openalex-snapshot
On the Study of Forward Kolmogorov System: the Corresponding Problems and Bounds for Inhomogeneous Continuous-time Markov Chains and Models
inferred← citeshttps://doi.org/10.1109/icumt.2010.5676515openalex-snapshot
On stability for Mt/Mt/N/N queue
inferred← citeshttps://doi.org/10.1109/smrlo.2016.18openalex-snapshot
Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes
inferred← citeshttps://doi.org/10.1109/tsp.2026.3721152openalex-snapshot
Bayesian Signal Component Decomposition via Diffusion-Within-Gibbs Sampling
inferred← citeshttps://doi.org/10.1137/s0040585x97981718openalex-snapshot
Stability Estimates for Finite Homogeneous Continuous-time Markov Chains
inferred← citeshttps://doi.org/10.1137/s0040585x97986151openalex-snapshot
On the Rate of Convergence and Truncations for a Class of Markovian Queueing Systems
inferred← citeshttps://doi.org/10.1214/21-aap1752openalex-snapshot
Dynamical models for random simplicial complexes
inferred← citeshttps://doi.org/10.1239/jap/1101840568openalex-snapshot
The spectral gap and perturbation bounds for reversible continuous-time Markov chains
inferred← citeshttps://doi.org/10.1239/jap/1127322017openalex-snapshot
Sensitivity of hidden Markov models
inferred← citeshttps://doi.org/10.1239/jap/1134587812openalex-snapshot
Sensitivity and convergence of uniformly ergodic Markov chains
inferred← citeshttps://doi.org/10.1561/0400000003openalex-snapshot
Mathematical Aspects of Mixing Times in Markov Chains
inferred← citeshttps://doi.org/10.1561/9781933019772openalex-snapshot
Mathematical Aspects of Mixing Times in Markov Chains
inferred← citeshttps://doi.org/10.17535/crorr.2016.0012openalex-snapshot
A control rule for planning promotion in a Nigerian university setting
inferred← citeshttps://doi.org/10.2139/ssrn.6812461openalex-snapshot
Convex Perturbation and the Suppression of the Indivisibility Deficit
inferred← citeshttps://doi.org/10.2478/amcs-2018-0011openalex-snapshot
Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services
inferred← citeshttps://doi.org/10.3150/17-bej938openalex-snapshot
Perturbation theory for Markov chains via Wasserstein distance
inferred← citeshttps://doi.org/10.3390/axioms14040283openalex-snapshot
Statistics for Continuous Time Markov Chains, a Short Review
inferred← citeshttps://doi.org/10.3390/books978-3-03921-963-6openalex-snapshot
Stochastic Processes
inferred← citeshttps://doi.org/10.3390/electronics9030522openalex-snapshot
Steganalysis of Adaptive Multi-Rate Speech Based on Extreme Gradient Boosting
inferred← citeshttps://doi.org/10.3390/math10081214openalex-snapshot
Limiting Distributions of a Non-Homogeneous Markov System in a Stochastic Environment in Continuous Time
inferred← citeshttps://doi.org/10.3390/math10234401openalex-snapshot
Ergodicity Bounds and Limiting Characteristics for a Modified Prendiville Model
inferred← citeshttps://doi.org/10.3390/math12111608openalex-snapshot
The Arsenal of Perturbation Bounds for Finite Continuous-Time Markov Chains: A Perspective
inferred← citeshttps://doi.org/10.3390/math13132059openalex-snapshot
Markov-Chain Perturbation and Approximation Bounds in Stochastic Biochemical Kinetics
inferred← citeshttps://doi.org/10.3390/math6050080openalex-snapshot
On the Bounds for a Two-Dimensional Birth-Death Process with Catastrophes
inferred← citeshttps://doi.org/10.3390/math7080678openalex-snapshot
On the Rate of Convergence and Limiting Characteristics for a Nonstationary Queueing Model
inferred← citeshttps://doi.org/10.3390/math8020253openalex-snapshot
Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains
inferred← citeshttps://doi.org/10.3390/math8040594openalex-snapshot
On Probability Characteristics for a Class of Queueing Models with Impatient Customers
inferred← citeshttps://doi.org/10.34768/amcs-2020-0020openalex-snapshot
On three methods for bounding the rate of convergence for some continuous-time Markov chains
inferred← citeshttps://doi.org/10.3934/jimo.2020011openalex-snapshot
On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs
inferred← citeshttps://doi.org/10.4108/icst.valuetools.2011.245864openalex-snapshot
Stability bounds for $M_t/M_t/N/N+R$ queue
inferred← citeshttps://doi.org/10.4171/jst/86openalex-snapshot
Eigenvalue estimates for the resolvent of a non-normal matrix
inferred← citeshttps://doi.org/10.4213/tvp114openalex-snapshot
Оценки устойчивости для конечных однородных цепей Маркова с непрерывным временем
inferred← citeshttps://doi.org/10.4213/tvp4469openalex-snapshot
О скорости сходимости и усечениях для одного класса марковских систем обслуживания
inferred← citeshttps://doi.org/10.4310/cms.2011.v9.n4.a6openalex-snapshot
A structure-preserving numerical discretization of reversible diffusions
inferred← citeshttps://doi.org/10.48550/arxiv.1808.00555openalex-snapshot
Perturbation bounds of Markov semigroups on abstract states spaces
inferred← citeshttps://doi.org/10.48550/arxiv.2003.06978openalex-snapshot
Perturbation theory and uniform ergodicity for discrete-time Markov chains
inferred← citeshttps://doi.org/10.48550/arxiv.2005.04565openalex-snapshot
Ergodicity and Perturbation Bounds for $M_t/M_t/1$ Queue with Balking, Catastrophes, Server Failures and Repairs
inferred← citeshttps://doi.org/10.7153/mia-08-15openalex-snapshot
Ergodicity coefficient and perturbation bounds for continuous-time Markov chains
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.