Functional analysis for weighted Markov processes and its applications

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400143
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Kumamoto University
• Principal Investigator: Kim Daehong 熊本大学, 大学院先端科学研究部(工), 教授 (50336202)
• Co-Investigator(Renkei-kenkyūsha): UEMURA Toshihiro 関西大学, 理工学部, 教授 (30285332) ; SHIOZAWA Yuichi 大阪大学, 理学部, 准教授 (60454518)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 確率論 / 確率解析 / 確率過程論 / ディリクレ形式論

Outline of Final Research Achievements

In this research, we were able to investigate several properties of weighted stochastic processes induced by generalized Feynman-Kac functionals with continuous additive functionals of zero energy which is not necessarily of zero quadratic variation, using the theory of weighted Markov processes and their analytic counterparts.

Free Research Field

数物系科学