Tau functions of KP solitons realized in Wiener space
Hidemi Aihara, Jiro Akahori, Hiroko Fujii, Yasuhumi Nitta
TL;DR
This paper presents a probabilistic approach to representing tau functions of KP solitons using stochastic areas, linking integrable systems with stochastic analysis.
Contribution
It introduces a novel probabilistic representation of KP tau functions in Wiener space, connecting soliton theory with stochastic processes.
Findings
Probabilistic representation of tau functions in Wiener space
Connection between KP solitons and stochastic areas
New insights into integrable systems via stochastic analysis
Abstract
In this paper, a probabilistic representation of the tau functions of KP (Kadomtsev-Petviashvili) solitons in terms of stochastic areas will be presented.
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