---

＜電子ブック＞
Diffusion Processes and Related Problems in Analysis, Volume II : Stochastic Flows / edited by V. Wihstutz, M.A. Pinsky
(Progress in Probability. ISSN:22970428 ; 27)

版	1st ed. 1992.
出版者	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年	1992
本文言語	英語
大きさ	IX, 346 p : online resource
冊子体	Stochastic flows / Mark A. Pinsky, Volker Wihstutz, editors ; : us,: sz
著者標目	Wihstutz, V editor Pinsky, M.A editor SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Differential equations LCSH:Mathematics FREE:Probability Theory FREE:Differential Equations FREE:Applications of Mathematics
一般注記	I: Diffusion Processes and General Stochastic Flows on Manifolds -- Stability and equilibrium properties of stochastic flows of diffeomorphisms -- Stochastic flows on Riemannian manifolds -- II: Special Flows and Multipoint Motions -- Isotropic stochastic flows -- The existence of isometric stochastic flows for Riemannian Brownian motions -- Time-reversal of solutions of equations driven by Lévy processes -- Birth and death on a flow -- III: Infinite Dimensional Systems -- Lyapunov exponents and stochastic flows of linear and affine hereditary systems -- Convergence in distribution of Markov processes generated by i.i.d. random matrices -- IV: Invariant Measures in Real and White Noise-Driven Systems -- Remarks on ergodic theory of stochastic flows and control flows -- Stochastic bifurcation: instructive examples in dimension one -- Lyapunov exponent and rotation number of the linear harmonic oscillator -- The growth of energy of a free particle of small mass with multiplicative real noise -- V: Iterated Function Systems -- Iterated function systems and multiplicative ergodic theory -- Weak convergence and generalized stability for solutions to random dynamical systems -- Random affine iterated function systems: mixing and encoding During the weekend of March 16-18, 1990 the University of North Carolina at Charlotte hosted a conference on the subject of stochastic flows, as part of a Special Activity Month in the Department of Mathematics. This conference was supported jointly by a National Science Foundation grant and by the University of North Carolina at Charlotte. Originally conceived as a regional conference for researchers in the Southeastern United States, the conference eventually drew participation from both coasts of the U. S. and from abroad. This broad-based par­ ticipation reflects a growing interest in the viewpoint of stochastic flows, particularly in probability theory and more generally in mathematics as a whole. While the theory of deterministic flows can be considered classical, the stochastic counterpart has only been developed in the past decade, through the efforts of Harris, Kunita, Elworthy, Baxendale and others. Much of this work was done in close connection with the theory of diffusion processes, where dynamical systems implicitly enter probability theory by means of stochastic differential equations. In this regard, the Charlotte conference served as a natural outgrowth of the Conference on Diffusion Processes, held at Northwestern University, Evanston Illinois in October 1989, the proceedings of which has now been published as Volume I of the current series. Due to this natural flow of ideas, and with the assistance and support of the Editorial Board, it was decided to organize the present two-volume effort Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4612-0389-6

 類似資料