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Found 2 essays matching the above criteria.

1. 1. A Borel-Cantelli lemma for non-stationary dynamical systems

   University essay from Lunds universitet/Matematik LTH

   Author : Teodor Åberg; [2023]
   Keywords : Borel-Cantelli lemmas; Dynamical systems; Mathematics and Statistics;

   Abstract : In this thesis we present a Borel–Cantelli lemma for dynamical systems such that the dynamics driving the system varies with time. These results are largely based on a decomposition of transfer operators produced by Rychlik. Some limitations on the structure of sequences that is necessary for the results is given some discussion. READ MORE

3. 2. Dynamical Borel-Cantelli lemmas and applications

   University essay from Lunds universitet/Matematik LTH

   Author : Viktoria Xing; [2020]
   Keywords : Borel-Cantelli lemma; dynamical systems; Mathematics and Statistics;

   Abstract : The classical Borel–Cantelli lemma is a beautiful discovery with wide applications in the mathematical field. The Borel–Cantelli lemmas in dynamical systems are particularly fascinating. Here, D. Kleinbock and G. READ MORE