Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process
Probability
2017-01-04 v1
Abstract
We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers of new cells are random and dependent. Lifetimes and new cells's numbers are also assumed to be dependent. We illustrate our results by examples, including some Markov models. Our approach is related to the behaviour of the Laplace transform of nonnegative additive functional of Markov chains and require weak moment assumption (no exponential moment is needed).
Keywords
Cite
@article{arxiv.1701.00718,
title = {Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process},
author = {Loïc Hervé and Sana Louhichi and Françoise Pène},
journal= {arXiv preprint arXiv:1701.00718},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1506.07659