2014 Fiscal Year Final Research Report
Basic study on noncausal stochastic differential equations
Project/Area Number 
22540157

Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Singleyear Grants 
Section  一般 
Research Field 
General mathematics (including Probability theory/Statistical mathematics)

Research Institution  Ritsumeikan University 
Principal Investigator 

Project Period (FY) 
20100401 – 20150331

Keywords  非因果的確率解析 / 非因果的確率微積分方程式 / ブラウン粒子方程式 / 確率フーリエ変換 / 非因果的確率システム 
Outline of Final Research Achievements 
The main sujects are; study on (1) the noncausal stochastic integral, (2) noncausal stochastic integral or differential equations, (3) BPE(Brownian particle equations),(4) SFT(stochastic Fourier transformation). The results are; (1) relation between Ogawa intgeral and the symmetric integral is clarified, (2) Solution by SFT of the stochastic integral equation of Fredholm type. (3) study of solutions of BPE and applications (eg. establishment of a noncausal Girsanov's theorem),(4) study of SFT, the question of its invertibility in various cases.

Free Research Field 
確率論、非因果的確率解析
