Cores of dirichlet forms related to random matrix theory

Hirofumi Osada, Hideki Tanemura

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We prove the sets of polynomials on configuration spaces are cores of Dirichlet forms describing interacting Brownian motion in infinite dimensions. Typical examples of these stochastic dynamics are Dyson's Brownian motion and Airy interacting Brownian motion. Both particle systems have logarithmic interaction potentials, and naturally arise from random matrix theory. The results of the present paper will be used in a forth coming paper to prove the identity of the infinite-dimensional stochastic dynamics related to the random matrix theories constructed by apparently different methods: the method of space-time correlation functions and that of stochastic analysis.

本文言語English
ページ(範囲)145-150
ページ数6
ジャーナルProceedings of the Japan Academy Series A: Mathematical Sciences
90
10
DOI
出版ステータスPublished - 2014
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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