Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

Corinna Ulcigrai

doi:10.1017/S0143385706000836

Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

Corinna Ulcigrai^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

30 Citations (Scopus)

Abstract

We consider suspension flows built over interval exchange transformations with the help of roof functions having an asymmetric logarithmic singularity. We prove that such flows are strongly mixing for a full measure set of interval exchange transformations.

Translated title of the contribution	Mixing of asymmetric logarithmic suspension flows over interval exchange transformations
Original language	English
Pages (from-to)	991-1035
Number of pages	45
Journal	Ergodic Theory and Dynamical Systems
Volume	27
Issue number	3
Early online date	12 Mar 2007
DOIs	https://doi.org/10.1017/S0143385706000836
Publication status	Published - Jun 2007

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title = "Mixing of asymmetric logarithmic suspension flows over interval exchange transformations",

abstract = "We consider suspension flows built over interval exchange transformations with the help of roof functions having an asymmetric logarithmic singularity. We prove that such flows are strongly mixing for a full measure set of interval exchange transformations.",

author = "Corinna Ulcigrai",

year = "2007",

month = jun,

doi = "10.1017/S0143385706000836",

language = "English",

volume = "27",

pages = "991--1035",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

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T1 - Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

AU - Ulcigrai, Corinna

PY - 2007/6

Y1 - 2007/6

N2 - We consider suspension flows built over interval exchange transformations with the help of roof functions having an asymmetric logarithmic singularity. We prove that such flows are strongly mixing for a full measure set of interval exchange transformations.

AB - We consider suspension flows built over interval exchange transformations with the help of roof functions having an asymmetric logarithmic singularity. We prove that such flows are strongly mixing for a full measure set of interval exchange transformations.

UR - https://www.scopus.com/pages/publications/34248638461

U2 - 10.1017/S0143385706000836

DO - 10.1017/S0143385706000836

M3 - Article (Academic Journal)

SN - 0143-3857

VL - 27

SP - 991

EP - 1035

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

Abstract

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