✦ LIBER ✦

A probabilistic theory of random maps

✍ Scribed by O. Elbeyli; J.Q. Sun

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 399 KB
Volume: 10
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2004.03.004

No coin nor oath required. For personal study only.

✦ Synopsis

We present a probabilistic theory of random maps with discrete time and continuous state. The forward and backward Kolmogorov equations as well as the FPK equation governing the evolution of the probability density function of the system are derived. The moment equations of arbitrary order are derived, and the reliability and first passage time problem are also studied. Examples are presented to demonstrate the application of the theoretical development. Numerical solutions including the time histories of moment evolution, steady state probability density function, reliability and first passage time probability density function for time discrete random maps are included. The present work compliments the existing theory of continuous time stochastic processes.

📜 SIMILAR VOLUMES

A probabilistic theory of clustering

✍ Edward R. Dougherty; Marcel Brun 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 333 KB

Data clustering is typically considered a subjective process, which makes it problematic. For instance, how does one make statistical inferences based on clustering? The matter is di erent with pattern classiÿcation, for which two fundamental characteristics can be stated: (1) the error of a classiÿ

Random fixed points of discontinuous ran

Random fixed points of discontinuous random maps

✍ N. Shahzad 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 438 KB

Synchronization of random linear maps

✍ Adam Lipowski; Ioana Bena; Michel Droz; Antonio L. Ferreira 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 297 KB

Scaling behavior of random maps

✍ Christian Beck 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 432 KB

A probabilistic analysis of random wave-

A probabilistic analysis of random wave-induced liquefaction

✍ Haixia Xu; Ping Dong 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 427 KB

A regularity theory of biharmonic maps

✍ Sun-Yung A. Chang; Lihe Wang; Paul C. Yang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 139 KB

In this article we prove the regularity of weakly biharmonic maps of domains in Euclidean four space into spheres, as well as the corresponding partial regularity result of stationary biharmonic maps of higher-dimensional domains into spheres.