A Central Limit Theorem for Time-Dependent Dynamical Systems

  title={A Central Limit Theorem for Time-Dependent Dynamical Systems},
  author={P{\'e}ter N{\'a}ndori and D. Sz{\'a}sz and T. Varj{\'u}},
  journal={Journal of Statistical Physics},
The work by Ott et al. (Math. Res. Lett. 16:463–475, 2009) established memory loss in the time-dependent (non-random) case of uniformly expanding maps of the interval. Here we find conditions under which we have convergence to the normal distribution of the appropriately scaled Birkhoff-like partial sums of appropriate test functions. A substantial part of the problem is to ensure that the variances of the partial sums tend to infinity (cf. the zero-cohomology condition in the autonomous case… Expand
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