6 citations · 8 across the 7 of their papers we have counts for
7 papers
Simulation Example of a Black Noise
Takafumi Amaba, Takahiro Aoyama, Shota Araki +1
B. Tsirelson and A. M. Vershik (1998) introduced the notion of a mathematical noise, which possesses completely opposite properties to those of a white noise. Afterward, B. Tsirels…
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…
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…
Behaviors of multivariable finite Euler products in probabilistic view
Takahiro Aoyama, Takashi Nakamura
Finite Euler product is known to be one of the classical zeta functions in number theory. In [1], [2] and [3], we have introduced some multivariable zeta functions and studied thei…
Multidimensional Shintani zeta functions and zeta distributions on R^d
Takahiro Aoyama, Takashi Nakamura
The class of Riemann zeta distribution is one of the classical classes of probability distributions on R. Multidimensional Shintani zeta function is introduced and its definable pr…
Multidimensional polynomial Euler products and infinitely divisible distributions on R^d
Takahiro Aoyama, Takashi Nakamura
It is known to be difficult to find out whether a certain multivariable function to be a characteristic function when its corresponding measure is not tirivial to be or not to be a…