Corpus ID: 228063988

CENTRAL LIMIT THEOREM FOR BIFURCATING MARKOV CHAINS

@article{Penda2020CENTRALLT,
  title={CENTRAL LIMIT THEOREM FOR BIFURCATING MARKOV CHAINS},
  author={S. Penda and Jean-François Delmas},
  journal={arXiv: Probability},
  year={2020}
}
Bifurcating Markov chains (BMC) are Markov chains indexed by a full binary tree representing the evolution of a trait along a population where each individual has two children. We first provide a central limit theorem for general additive functionals of BMC, and prove the existence of three regimes. This corresponds to a competition between the reproducing rate (each individual has two children) and the ergodicity rate for the evolution of the trait. This is in contrast with the work of Guyon… Expand
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