Name : [in Japanese]
Number : 33
Location : [in Japanese]
Date : October 31, 2020 - November 01, 2020
Pages 121-124
Standing on a different view point from Anderson we prove that the extended Wiener process defined by Anderson satisfies the definition of the Wiener process in standard analysis, for example the Wiener process at time t obeys the normal distribution N(0,t) by showing the central limit theorem. The essential theory used in the proof is the extended convolution property in nonstandard analysis which is shown in K., Nishiyama and Tchizawa and K. and Tchizawa.