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math.PR2022★ 1 cited
Limit theorems for iterates of the Szász-Mirakyan operator in probabilistic view
Jirô Akahori, Ryuya Namba, Shunsuke Semba
The Szász-Mirakyan operator is known as a positive linear operator which uniformly approximates a certain class of continuous functions on the half line. The purpose of the present…
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…
math.PR2022
Asymptotic behaviors of convolution powers of the Riemann zeta distribution
Takahiro Aoyama, Ryuya Namba, Koki Ota
In probability theory, there exist discrete and continuous distributions. Generally speaking, we do not have sufficient kinds and properties of discrete ones compared to the contin…