liouville measure
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2020 ◽  
Vol 73 (12) ◽  
pp. 2708-2736 ◽  
Author(s):  
François Ledrappier ◽  
Lin Shu
Keyword(s):  


2020 ◽  
Vol 70 (1) ◽  
pp. 205-245
Author(s):  
Juhan Aru ◽  
Ellen Powell ◽  
Avelio Sepúlveda


2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Juhan Aru ◽  
Ellen Powell ◽  
Avelio Sepúlveda
Keyword(s):  


2000 ◽  
Vol 20 (6) ◽  
pp. 1735-1748 ◽  
Author(s):  
JULIEN MAUBON

We study the link between variations of entropy on a compact hyperbolic manifold $M$ and infinitesimal flat conformal deformations of $M$. We remark that the entropy of the Liouville measure increases in the direction of these deformations. We then explain a new construction of infinitesimal flat conformal deformations by bending along totally geodesic hypersurfaces of $M$ which allows us to extend a theorem of L. Flaminio.



1983 ◽  
Vol 3 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Keith Burns

AbstractIt is shown that the unit tangent bundle of a compact uniform visibility manifold with no focal points contains a subset of positive Liouville measure on which all the characteristic exponents of the geodesic flow (except in the flow direction) are non-zero. This completes Pesin's proof that the geodesic flow of such a manifold is Bernoulli.



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