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Mixing and rates of mixing for infinite measure flows

By Ian Melbourne

Appears in collections : Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellement, Exposés de recherche

We obtain results on mixing and rates of mixing for infinite measure semiflows and flows. The results on rates of mixing rely on operator renewal theory and a Dolgopyat-type estimate. The results on mixing hold more generally and are based on a deterministic (ie non iid) version of Erickson's continuous time strong renewal theorem.

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Citation data

  • DOI 10.24350/CIRM.V.19129003
  • Cite this video Melbourne, Ian (22/02/2017). Mixing and rates of mixing for infinite measure flows. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19129003
  • URL https://dx.doi.org/10.24350/CIRM.V.19129003



  • Bruin, H., Melbourne, I., & Terhesiu, D. (2016). Rates of mixing for nonMarkov infinite measure semiflows. <arXiv:1607.08711> - https://arxiv.org/abs/1607.08711

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