The regularity of the linear drift in negatively curved spaces - 九大コレクション

＜電子ブック＞
The regularity of the linear drift in negatively curved spaces

責任表示	François Ledrappier, Lin Shu
著者	Ledrappier, F.,
著者	Shu, Lin
本文言語	English (英語)
出版者	American Mathematical Society
出版年	2023-
出版地	Providence, Rhode Island
関連情報	シリーズ Memoirs of the American Mathematical Society ; Volume 281, number 1387
概要	"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"--続きを見る
目次	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.
本文を見る	Memoirs of the American Mathematical Society - 2023: 2023

レコードID	6815241
データベースタイトル	Memoirs of the American Mathematical Society - 2023
主題	QA614.82
	Geodesic flows.
	Stochastic analysis.
	Brownian motion processes.
	Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.).
	Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Diffusion processes and stochastic analysis on manifolds.
管理番号	ebs102152987e
eISBN	9781470473204[1470473208](online)
XISBN	9781470455422[1470455420]
登録日	2023.09.29
更新日	2024.01.30