The law of the iterated logarithm for random dynamical system with jumps and state-dependent jump intensity

DOI10.2478/amsil-2021-0011zbMath1480.37062OpenAlexW3196628677MaRDI QIDQ2232076

Joanna Kubieniec

Publication date: 4 October 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2021-0011

zbMATH Keywords

Markov chainMarkov operatorlaw of iterated logarithm

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ergodic theorems, spectral theory, Markov operators (37A30) Random iteration (37H12)

Cites Work

• Limit theorems for some Markov chains
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• Transcriptional stochasticity in gene expression
• Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling
• Random dynamical systems with jumps and with a function-type intensity
• Law of the iterated logarithm for stationary processes
• Dynamic Behavior of Stochastic Gene Expression Models in the Presence of Bursting
• Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation
• The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations
• The Strassen invariance principle for certain non-stationary Markov–Feller chains
• Fluctuations in Markov Processes
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