The Regularity of the Linear Drift in Negatively Curved Spaces (Memoirs of the American Mathematical Society)

ISBN 10: 1470455420 / ISBN 13: 9781470455422

Published by Amer Mathematical Society

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Seller Inventory # 397632446

Bibliographic Details

• Title: The Regularity of the Linear Drift in Negatively Curved Spaces (Memoirs of the American Mathematical Society)
• Publisher: Amer Mathematical Society
• Language: English
• ISBN 10: 1470455420
• ISBN 13: 9781470455422
• Binding: Soft cover
• Condition: New

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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"--