Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes
Annales de l'Institut Fourier, Volume 67 (2017) no. 3, p. 1115-1183
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.
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.
Received : 2013-09-20
Revised : 2015-08-11
Accepted : 2016-09-16
Published online : 2017-05-31
DOI : https://doi.org/10.5802/aif.3106
Classification:  37D40,  58J65
Keywords: linear drift, negative curvature, stochastic entropy
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {67},
     number = {3},
     year = {2017},
     pages = {1115-1183},
     doi = {10.5802/aif.3106},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2017__67_3_1115_0}
}
Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes. Annales de l'Institut Fourier, Volume 67 (2017) no. 3, pp. 1115-1183. doi : 10.5802/aif.3106. https://aif.centre-mersenne.org/item/AIF_2017__67_3_1115_0/

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