On exponential ergodicity and spectral structure for birth-death processes. II

DOI10.1016/0304-4149(73)90001-XzbMath0264.60054MaRDI QIDQ2561800

Herman Callaert, Julian Keilson

Publication date: 1973

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics, On convergence to stationarity of fractional Brownian storage, Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes, Stability of noisy Metropolis-Hastings, A generalized Gompertz growth model with applications and related birth-death processes, Families of \(\nu\)-similar birth-death processes and limiting conditional distributions, Functional central limit theorems for a large network in which customers join the shortest of several queues, Computable Bounds for the Decay Parameter of a Birth–Death Process, Perturbation models, First-passage times and related moments for continuous-time birth-death chains, Monotone matrices and monotone Markov processes, Ergodic potential, On exponential ergodicity and spectral structure for birth-death processes. I, Analytic birth-death processes: A Hilbert-space approach

Cites Work

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• Denumerable Markov processes and the associated contraction semigroups on l
• The birth and death processes as diffusion processes
• Many server queueing processes with Poisson input and exponential service times
• An analytical approach to the differential equations of the birth-and- death process
• On exponential ergodicity and spectral structure for birth-death processes. I
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• The Classification of Birth and Death Processes
• GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
• Complete exponential convergence and some related topics
• The Exponential Decay of Markov Transition Probabilities
• Ergodic Properties of Continuous-Time Markov Processes and Their Discrete Skeletons
• Markov population processes
• Mean life of series and parallel systems
• Analytic Inequalities
• A review of transient behavior in regular diffusion and birth-death processes. Part II
• Log-concavity and log-convexity in passage time densities of diffusion and birth-death processes
• Unitary Dilations of One-Parameter Semigroups of Markov Transition Operators, and the Corresponding Integral Representations for Markov Processes with a Countable Infinity of States
• Spectral theory for the differential equations of simple birth and death processes