English

Large deviation for return times

Dynamical Systems 2018-11-14 v1

Abstract

We prove a large deviation result for return times of the orbits of a dynamical system in a rr-neighbourhood of an initial point xx. Our result may be seen as a differentiable version of the work by Jain and Bansal who considered the return time of a stationary and ergodic process defined in a space of infinite sequences.

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Cite

@article{arxiv.1801.06413,
  title  = {Large deviation for return times},
  author = {Adriana Coutinho and Jerome Rousseau and Benoit Saussol},
  journal= {arXiv preprint arXiv:1801.06413},
  year   = {2018}
}