Titlebook: Advances in Analysis, Probability and Mathematical Physics; Contributions of Non Sergio A. Albeverio,Wilhelm A. J. Luxemburg,Manfre Book 19

NOT

Ultradistributions and Hyperbolicity,In this paper it is shown that every invariance principle of probability theory is equivalent to a nonstandard construction of internal S-continuous processes, which all represent — up to an infinitesimal error — the limit process. This can be applied e.g. to obtain Anderson’s nonstandard construction of a Brownian motion on a hyperfinite set.

內(nèi)向者

Extensions of Symmetric Operators,Two examples of how NSA may be useful in stochastics are considered. In Section 1 a new infinite dimensional multiplicative ergodic theorem for generalized cocycles is obtained; in Section 2 a new method of finding stationary solutions (invariant measures) to nonlinear stochastic parabolic equations is proposed.

討厭

https://doi.org/10.1007/978-94-015-8451-7Probability theory; Variance; calculus; differential equation; mathematical physics

現(xiàn)暈光

978-90-481-4481-5Springer Science+Business Media B.V. 1995

壟斷

Mathematics and Its Applicationshttp://image.papertrans.cn/a/image/146659.jpg

來(lái)就得意

原告

Theory of Elliptic Boundary Value Problems larger than the space of Schwartz distributions. As an example, we show that H. Lewy’s equation has a solution in this space whenever its right hand side is a classical smooth function or a Schwartz distribution.

Fester

使腐爛

Anguish