Splash effect and ergodic properties of solution of the classic difference-differential equation

Authors
Filimonov, A Mao, X Maslov, S
Citation
A. Filimonov et al., Splash effect and ergodic properties of solution of the classic difference-differential equation, J DIF EQ AP, 6(3), 2000, pp. 319-328
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198 → ACNP
Volume
6
Issue
3
Year of publication
2000
Pages
319 - 328
Database
ISI
SICI code
1023-6198(2000)6:3<319:SEAEPO>2.0.ZU;2-N
Abstract
In this paper one of the classical models of stochastic movements going bac k to almost 250 years is studied (Bernoulli, D. Memoires de la' academie Ro yale de Berlin, 9, 1753, pp. 147-172; Lagrange, G.L., Mechanique Analitique , Paris, 1788). The relationship between ergodic property of this model and splash effect (Filimonov, A.M., Computes Rendus Acad. Sci. Paris t. 315, S erie 1, 1992, 957-961) is described. AMS No.: 34K10, 34K99, 41A60.