Japan. J. Math. 2, 45-53 (2007)

On the works of Kiyosi Itô and stochastic analysis

Masatoshi Fukushima

Abstract: A common feature that can be consistently found in the works of Professor Kiyosi Itô is a leap from the analysis in distribution family level toward the analysis and synthesis in sample paths level, which has turned analytic descriptions into thoroughly stochastic ones.