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math.PR2025
Martingale dimensions for a class of metric measure spaces
Masanori Hino
We study the martingale dimension of diffusion processes associated with strongly local regular Dirichlet forms on metric measure spaces. The martingale dimension is an intrinsic q…
math.PR2025
Asymptotic behaviors of fractional binomial distributions derived from the generalized binomial theorem
Masanori Hino, Ryuya Namba
A fractional binomial distribution, introduced by Hino and Namba (2024) via the generalized binomial theorem, is a fractional variant of the classical binomial distribution. Buildi…