Chaotic Properties of Mappings on a Probability Space

  title={Chaotic Properties of Mappings on a Probability Space},
  author={erard BIAU}
  • erard BIAU
Sensitive dependence on initial conditions is widely understood as being the central idea of chaos. We rst give suucient conditions (both topolog-ical and ergodic) on an endomorphism to ensure the sensitivity property. Then, a strong sensitivity concept is introduced. Suucient conditions on a transformation implying strong sensitivity are given. We also provide bounds for the strong sensitivity constant. 

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