Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes  [ Dérivée de l’entropie stochastique dans les familles conformes de métriques de courbure strictement négative ]
Annales de l'Institut Fourier, Tome 67 (2017) no. 3, pp. 1115-1183.

Nous considérons le revêtement universel d’une variété compacte connexe de courbure strictement négative et une variation à un paramètre de classe C 3 de métriques C 3 conformes à la métrique originale. Nous montrons que la vitesse de fuite et l’entropie stochastique sont différentiables le long de cette courbe.

We consider the universal cover of a closed connected Riemannian manifold of negative sectional curvature. We show that the linear drift and the stochastic entropy are differentiable under any C 3 one-parameter family of C 3 conformal changes of the original metric.

Reçu le : 2013-09-19
Révisé le : 2015-08-10
Accepté le : 2016-09-15
Publié le : 2017-05-30
DOI : https://doi.org/10.5802/aif.3106
Classification : 37D40,  58J65
Mots clés : vitesse de fuite, courbure négative, entropie stochastique
@article{AIF_2017__67_3_1115_0,
     author = {Ledrappier, Fran\c cois and Shu, Lin},
     title = {Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes},
     journal = {Annales de l'Institut Fourier},
     pages = {1115--1183},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {67},
     number = {3},
     year = {2017},
     doi = {10.5802/aif.3106},
     language = {en},
     url = {archive.numdam.org/item/AIF_2017__67_3_1115_0/}
}
Ledrappier, François; Shu, Lin. Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes. Annales de l'Institut Fourier, Tome 67 (2017) no. 3, pp. 1115-1183. doi : 10.5802/aif.3106. http://archive.numdam.org/item/AIF_2017__67_3_1115_0/

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