Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

CORINNA ULCIGRAI

doi:10.1017/S0143385706000836

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Lemańczyk, Mariusz 2009. Encyclopedia of Complexity and Systems Science. p. 8554.

Vul, E. B. Sinai, Ya. G. and Khanin, K. M. 2010. Selecta. p. 213.

Sinai, Yakov G. and Ulcigrai, Corinna 2010. Selecta. p. 141.

Ulcigrai, Corinna 2011. Absence of mixing in area-preserving flows on surfaces. Annals of Mathematics, Vol. 173, Issue. 3, p. 1743.

Lemańczyk, Mariusz 2012. Mathematics of Complexity and Dynamical Systems. p. 1618.

Frączek, Krzysztof and Ulcigrai, Corinna 2012. Ergodic properties of infinite extensions of area-preserving flows. Mathematische Annalen, Vol. 354, Issue. 4, p. 1289.

Fayad, Bassam and Kanigowski, Adam 2016. Multiple mixing for a class of conservative surface flows. Inventiones mathematicae, Vol. 203, Issue. 2, p. 555.

Ravotti, Davide 2017. Quantitative Mixing for Locally Hamiltonian Flows with Saddle Loops on Compact Surfaces. Annales Henri Poincaré, Vol. 18, Issue. 12, p. 3815.

Chaika, Jon and Wright, Alex 2018. A smooth mixing flow on a surface with nondegenerate fixed points. Journal of the American Mathematical Society, Vol. 32, Issue. 1, p. 81.

Conze, Jean-Pierre and Lemańczyk, Mariusz 2018. Centralizer and liftable centralizer of special flows over rotations. Nonlinearity, Vol. 31, Issue. 8, p. 3939.

Kanigowski, Adam 2018. Slow entropy for some smooth flows on surfaces. Israel Journal of Mathematics, Vol. 226, Issue. 2, p. 535.

RAVOTTI, DAVIDE 2019. Mixing for suspension flows over skew-translations and time-changes of quasi-abelian filiform nilflows. Ergodic Theory and Dynamical Systems, Vol. 39, Issue. 12, p. 3407.

Cellarosi, F. 2019. The Abel Prize 2013-2017. p. 207.

Kanigowski, Adam Lemańczyk, Mariusz and Ulcigrai, Corinna 2020. On disjointness properties of some parabolic flows. Inventiones mathematicae, Vol. 221, Issue. 1, p. 1.

Kanigowski, Adam and Lemańczyk, Mariusz 2020. Encyclopedia of Complexity and Systems Science. p. 1.

Ulcigrai, Corinna 2021. Slow chaos in surface flows. Bollettino dell'Unione Matematica Italiana, Vol. 14, Issue. 1, p. 231.

Chaika, Jon Frączek, Krzysztof Kanigowski, Adam and Ulcigrai, Corinna 2021. Singularity of the Spectrum for Smooth Area-Preserving Flows in Genus Two and Translation Surfaces Well Approximated by Cylinders. Communications in Mathematical Physics, Vol. 381, Issue. 3, p. 1369.

Fayad, Bassam Forni, Giovanni and Kanigowski, Adam 2021. Lebesgue spectrum of countable multiplicity for conservative flows on the torus. Journal of the American Mathematical Society, Vol. 34, Issue. 3, p. 747.

Avila, Artur Forni, Giovanni Ravotti, Davide and Ulcigrai, Corinna 2021. Mixing for smooth time-changes of general nilflows. Advances in Mathematics, Vol. 385, Issue. , p. 107759.

Frączek, Krzysztof and Ulcigrai, Corinna 2022. Encyclopedia of Complexity and Systems Science. p. 1.

Download full list

Article contents

Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

Abstract

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests