Diophantine and ergodic foliations on surfaces | Zendy

McMullen Curtis T. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Diophantine and ergodic foliations on surfaces

Author(s) -

McMullen Curtis T.

Publication year - 2013

Publication title -

journal of topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.447

H-Index - 31

eISSN - 1753-8424

pISSN - 1753-8416

DOI - 10.1112/jtopol/jts033

Subject(s) - mathematics , ergodic theory , foliation (geology) , ergodicity , diophantine equation , geodesic , pure mathematics , upper and lower bounds , characterization (materials science) , mathematical analysis , statistics , materials science , geochemistry , metamorphic rock , nanotechnology , geology

This paper gives a topological characterization of Diophantine and recurrent laminations on surfaces. It also establishes an upper bound for the number of ergodic components of a measured foliation, in terms of limits of the corresponding geodesic ray inM ¯g , n. Taken together, these results give a new approach to Masur's theorem on unique ergodicity.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research