Regularity of the Linear Drift in Negatively Curved Spaces

Ledrappier, François (EDT); Shu, Lin (EDT)

ISBN 10: 1470455420 / ISBN 13: 9781470455422

Editore: Amer Mathematical Society

Codice articolo 45720244-n

Riassunto:

"We show that the linear drift of the Brownian motion on the universal cover of a closed connected smooth Riemannian manifold is Ck-2 differentiable along any Ck curve in the manifold of Ck Riemannian metrics with negative sectional curvature. We also show that the stochastic entropy of the Brownian motion is C1 differentiable along any C3 curve of C3 Riemannian metrics with negative sectional curvature. We formulate the first derivatives of the linear drift and stochastic entropy, respectively, and showthey are critical at locally symmetric metrics"--

Dati bibliografici

Titolo: Regularity of the Linear Drift in Negatively...
Casa editrice: Amer Mathematical Society
Legatura: Brossura
Condizione: New