29 citations · 40 across the 2 of their papers we have counts for
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math.PR2007★ 11 cited
Reflecting Ornstein-Uhlenbeck processes on pinned path spaces
Masanori Hino, Hiroto Uchida
Consider a set of continuous maps from the interval to a domain in . Although the topological boundary of this set in the path space is not smooth in general…
math.PR2007★ 29 cited
Martingale dimensions for fractals
Masanori Hino
We prove that the martingale dimensions for canonical diffusion processes on a class of self-similar sets including nested fractals are always one. This provides an affirmative ans…