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ヨシダ ミノル
Yoshida Minoru 吉田 稔 所属 神奈川大学 情報学部 システム数理学科 神奈川大学大学院 工学研究科 工学専攻(情報システム創成領域) 職種 教授 |
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言語種別 | 英語 |
発行・発表の年月 | 2021/05 |
形態種別 | 学術雑誌 |
標題 | Non-local Markovian symmetric forms on infinite dimensional spaces;
Part 2. Examples: non local stochastic quantization of space cut-off quantum fields and infinite particle systems |
執筆形態 | 共著 |
掲載誌名 | arXiv.org |
掲載区分 | 国外 |
出版社・発行元 | Cornel University, arXiv. |
巻・号・頁 | 2105.05593v1 |
著者・共著者 | Sergio Albeverio et.al. |
概要 | The general framework on the non-local Markovian symmetric forms on
weighted $l^p$ $(p \in [1, \infty])$ spaces constructed by [A,Kagawa,Yahagi,Y 2020], by restricting the situation where $p =2$, is applied to such measure spaces as the space cut-off $P(\phi)_2$ Euclidean quantum field, the $2$-dimensional Euclidean quantum fields with exponential and trigonometric potentials, and the field describing a system of an infinite number of classical particles. For each measure space, the Markov process corresponding to the non-local type stochastic quantization is constructed. |