Random evolutions with underlying semi-Markov processes

DOI10.2977/prims/1195188829zbMath0416.60089OpenAlexW2164399278MaRDI QIDQ754560

Robert P. Kertz

Publication date: 1978

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195188829

zbMATH Keywords

random evolutionabstract integral equationssemi-Markov-process

Mathematics Subject Classification ID

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

Related Items (9)

The birth of random evolutions ⋮ Central Limit Theorem for Signed Distributions ⋮ Switching processes: Averaging principle, diffusion approximation and applications ⋮ Random Evolution Processes with Feedback ⋮ Special issue: 1st international workshop on retrial queues, WRQ '98. Complutense University of Madrid, Spain, September 22--24, 1998 ⋮ Switching stochastic models and applications in retrial queues ⋮ Central limit theorem for semi-Markov random evolutions ⋮ Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions ⋮ Diffusion approximation of nonhomogeneous switching processes and its application to rate of convergence analysis of computational procedures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limit theorems for discontinuous random evolutions with applications to initial value problems and to Markov processes on N lines
• Random integral equations
• Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions
• On dams with continuous semi-Markovian inputs
• Abstract martingale convergence theorems
• Regenerative stochastic processes
• An extension of certain quasi-measure
• DIRECT SOLUTION OF GENERAL ONE-DIMENSIONAL LINEAR PARABOLIC EQUATION VIA AN ABSTRACT PLANCHEREL FORMULA
• A Perturbation Series for Cauchy's Problem for Higher-Order Abstract Parabolic Equations
• Comparison of Semi-Markov and Markov Processes
• Theory of Random Evolutions with Applications to Partial Differential Equations
• Markov Renewal Processes with Auxiliary Paths
• Perturbed Semigroup Limit Theorems with Applications to Discontinuous Random Evolutions

This page was built for publication: Random evolutions with underlying semi-Markov processes