Regularity of the Linear Drift in Negatively Curved Spaces
Ledrappier, François (EDT); Shu, Lin (EDT)
ISBN 10: 1470455420 ISBN 13: 9781470455422
Published by Amer Mathematical Society
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Synopsis:
"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"--
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Bibliographic Details
Title: Regularity of the Linear Drift in Negatively...
Publisher: Amer Mathematical Society
Binding: Soft cover
Condition: New