The regularity of the linear drift in negatively curved spaces / Franc¿ʹois Ledrappier, Lin Shu.
| Author/creator | Ledrappier, F. |
| Other author | Shu, Lin (Mathematics professor) |
| Format | Electronic |
| Publication Info | Providence, Rhode Island : American Mathematical Society, 2023. |
| Description | v, 151 pages ; 26 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; Volume 281, number 1387 |
| Contents | Introduction and statement of results -- Preliminaries -- Regularity of the linear drift -- Brownian motion and stochastic flows -- The first differential of the heat kernels in metrics -- Higher order regularity of the heat kernels in metrics -- Regularity of the stochastic entropy. |
| Abstract | "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 show they are critical at locally symmetric metrics"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 147-151). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2023012645 |
| ISBN | 9781470455422 (paperback) |
| ISBN | (pdf) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |