4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.PR2022
Some Martingale Properties of Simple Random Walk and Its Maximum Process
Takahiko Fujita, Shotaro Yagishita, Naohiro Yoshida
In this paper, martingales related to simple random walks and their maximum process are investigated. First, a sufficient condition under which a function with three arguments, tim…
math.AP2012★ 4 cited
Symmetry in Self-Similarity in Space and Time---Short Time Transients and Power-Law Spatial~Asymptote
Ken Sekimoto, Takahiko Fujita
The self-similarity in space and time (hereafter self-similarity), either deterministic or statistical, is characterized by similarity exponents and a function of scaled variable,…