3 papers
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…
math.PR2025
On some properties of a positive linear operator via the Moran model in population genetics
Takahiro Aoyama, Ryuya Namba
We introduce a positive linear operator acting on the Banach space of all continuous functions on the unit interval via the Moran model studied in population genetics. We show that…
math.PR2022
Random walks on crystal lattices and multiple zeta functions
Takahiro Aoyama, Ryuya Namba
Crystal lattices are known to be one of the generalizations of classical periodic lattices which can be embedded into some Euclidean spaces properly. As to make a wide range of mul…