Flows of rare events for regularly perturbed semi-Markov processes

DOI10.1007/978-3-031-17820-7_21MaRDI QIDQ6153226

Dmitrii S. Silvestrov

Publication date: 16 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

zbMATH Keywords

limit theoremcounting processsemi-Markov processrare event

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15)

Cites Work

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• Continuous-time Markov chains and applications. A two-time-scale approach
• On the waiting time in a generalized roulette game
• Markov renewal theorems in a scheme of series
• Asymptotic behavior of terminating Markov processes, near to ergodic
• Quasi-stationary phenomena in nonlinearity perturbed stochastic systems.
• Markov chains with almost exponential hitting times
• Markov chain models - rarity and exponentiality
• Rare events in queueing systems -- A survey
• Quasi-stationary distributions of a stochastic metapopulation model
• Busy period analysis, rare events and transient behavior in fluid flow models
• Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems
• Hitting times for the perturbed reflecting random walk
• Asymptotics for hitting times
• Hitting times of rare events in Markov chains
• Matrix Algorithms
• Analytic Perturbation Theory and Its Applications
• Quantitative and qualitative limits for exponential asymptotics of hitting times for birth-and-death chains in a scheme of series
• Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes
• On exponential limit laws for hitting times of rare sets for Harris chains and processes
• Asymptotic expansions for power-exponential moments of hitting times for nonlinearly perturbed semi-Markov processes
• Entry Times into Asymptotically Receding Domains for Ergodic Markov Chains
• Identifying Coefficients in the Spectral Representation for First Passage Time Distributions
• Switching Processes in Queueing Models
• Entry Times into Asymptotically Receding Regions for Processes with Semi-Markov Switchings
• TRANSITIONAL PHENOMENA OF RENEWAL THEORY IN ASYMPTOTIC PROBLEMS OF THE THEORY OF RANDOM PROCESSES. I
• TRANSITIONAL PHENOMENA OF RENEWAL THEORY IN ASYMPTOTIC PROBLEMS OF THE THEORY OF RANDOM PROCESSES. II
• Mean Passage Times and Nearly Uncoupled Markov Chains
• Return times in nearly-completely decomposable stochastic processes
• Necessary and sufficient conditions for convergence of first-rare-event-time processes for perturbed semi-Markov processes
• Applied Probability and Queues
• Generalized Poisson Models and their Applications in Insurance and Finance
• Discrete-Time Markov Chains
• Nonlinearly Perturbed Semi-Markov Processes
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• A Limit Theorem for Passage Times in Ergodic Regenerative Processes
• The Exponential Decay of Markov Transition Probabilities
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains
• Aggregation of Variables in Dynamic Systems
• Renewal process and rare events limit theorems for essentially multidimensional queueing processes

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