What question did this study set out to answer?

This research aims to adapt a submartingale condition for weak convergence to semi-Markov processes.

Submartingale condition for weak convergence for semi-Markov processes

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Demonstrates weak convergence conditions for semi-Markov processes using Markov chains, suggesting additional constraints are necessary.

This research aims to adapt a submartingale condition for weak convergence to semi-Markov processes.
Adaptation of classical results to the semi-Markov framework
Utilization of embedded Markov chains
Analysis of filtration generated by jump times
A classical submartingale condition for weak convergence does not hold in this setting
An additional condition is necessary for valid convergence in semi-Markov processes

Vitaliy Golomoziy (2025) studied this question.

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