Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156922 | Stochastic Processes and their Applications | 2010 | 17 Pages |
Abstract
Among Professor Kiyosi Itô’s achievements, there is the Itô–Nisio theorem, a completely general theorem relative to the Fourier series decomposition of Brownian motion. In this paper, some of its applications will be reviewed, and new applications to 1-soliton solutions to the Korteweg–de Vries (KdV for short) equation and Eulerian polynomials will be given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Nobuyuki Ikeda, Setsuo Taniguchi,