UH  


Department of Mathematics




 Useful Info
 > Current Semester
 > Next Semester
 > Past Semesters
 > talks in the Graduate Student Seminar
 > UH Dynamics Group
 > UH Analysis Group
 > UH Math Dept.
 > Directions/maps

 > Summer school




For  further information, to suggest a seminar speaker, or to subscribe to the Dynamics Systems Seminar mailing list, please contact the webmaster.




Print Announcement   


David Parmenter

Warwick University



Constructing equilibrium states for some partially hyperbolic attractors



April 17, 2023
NOON    648 PGH



Abstract
 

We shall describe a new geometric construction of equilibrium states for a class of partially hyperbolic systems (with sub-exponential contraction in the centre-unstable direction), 'extending' the construction of u-Gibbs measures due to Pesin and Sinai. Starting with the volume on a piece of centre-unstable manifold, \(W^{cu}\), if we integrate over an appropriate sequence of density functions related to some continuous potential, \(\phi\), we obtain a sequence of measures on \(W^{cu}\) which are absolutely continuous with respect to Lebesgue. Pushing this sequence of measures forward and averaging, the limiting measures are equilibrium states for \(\phi\).






Webmaster   University of Houston    ---    Last modified:  April 08 2016 - 20:30:35

$
  <area shape=