Limit theorems for almost Anosov flows | Vidéo | Carmin.tv

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Limit theorems for almost Anosov flows

By Dalia Terhesiu

Appears in collection : Probabilistic limit theorems for dynamical systems / Théorèmes limites probabilistes pour les systèmes dynamiques

An almost Anosov flow is a flow having continuous flow-invariant splitting of the tangent bundle with exponential expansion/contraction in the unstable/stable direction, except for a finite number (in our case a single) periodic orbits. Roughly, almost Anosov flows are perturbed Anosov flows, where the perturbation is local around these periodic orbits, making them neutral. For this type of flows, we obtain limit theorems (stable, standard and non-standard CLT) for a large class of (unbounded) observables. I will present these results stressing on the method of proof. This is joint work with H. Bruin and M. Todd.

Information about the video

Date of recording 29/10/2018
Date of publication 15/11/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19471403
Cite this video Terhesiu, Dalia (29/10/2018). Limit theorems for almost Anosov flows. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19471403
URL https://dx.doi.org/10.24350/CIRM.V.19471403

Domain(s)

Dynamical Systems

Bibliography

Bruin, H., Terhesiu, D., & Todd, M. (2018). The pressure function for infinite equilibrium measures. <arXiv:1711.05069> - https://arxiv.org/abs/1711.05069

MSC codes

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