Dyadic Cantor set and its kinetic and stochastic counterpart

  title={Dyadic Cantor set and its kinetic and stochastic counterpart},
  author={M. K. Hassan and N. I. Pavel and R. K. Pandit and J. Kurths},
  journal={Chaos Solitons \& Fractals},
Abstract Firstly, we propose and investigate a dyadic Cantor set (DCS) and its kinetic counterpart where a generator divides an interval into two equal parts and removes one with probability ( 1 - p ) . The generator is then applied at each step to all the existing intervals in the case of DCS and to only one interval, picked with probability according to interval size, in the case of kinetic DCS. Secondly, we propose a stochastic DCS in which, unlike the kinetic DCS, the generator divides an… Expand

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