10 citations · 15 across the 10 of their papers we have counts for
10 papers
Accelerating true orbit pseudorandom number generation using Newton's method
Asaki Saito, Akihiro Yamaguchi
The binary expansions of irrational algebraic numbers can serve as high-quality pseudorandom binary sequences. This study presents an efficient method for computing the exact binar…
Arithmetical independence of certain uniform sets of algebraic integers
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We study four (families of) sets of algebraic integers of degree less than or equal to three. Apart from being simply defined, we show that they share two distinctive characteristi…
Critical curves of rotations
John A G Roberts, Asaki Saito, Franco Vivaldi
In rotations with a binary symbolic dynamics, a critical curve is the locus of parameters for which the boundaries of the partition that defines the symbolic dynamics are connected…
Second-level randomness test based on the Kolmogorov-Smirnov test
Akihiro Yamaguchi, Asaki Saito
We analyzed the effect of the deviation of the exact distribution of the p-values from the uniform distribution on the Kolmogorov-Smirnov (K-S) test that was implemented as the sec…
Critical curves of a piecewise linear map
John A. G. Roberts, Asaki Saito, Franco Vivaldi
We study the parameter space of a family of planar maps, which are linear on each of the right and left half-planes. We consider the set of parameters for which every orbit recurs…
Rate Distortion Theorem and the Multicritical Point of Spin Glass
Tatsuto Murayama, Asaki Saito, Peter Davis
A spin system can be thought of as an information coding system that transfers information of the interaction configuration into information of the equilibrium state of the spin va…
Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers
Asaki Saito, Akihiro Yamaguchi
We develop a method for generating pseudorandom binary sequences using the Bernoulli map on cubic algebraic integers. The distinguishing characteristic of our generator is that it…
Multidimensional -adic continued fraction algorithms
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We give a new class of multidimensional -adic continued fraction algorithms. We propose an algorithm in the class for which we can expect that multidimensional -adic version…
Continued fraction algorithms and Lagrange's theorem in
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We present several continued fraction algorithms, each of which gives an eventually periodic expansion for every quadratic element of over and gives a…
A new multidimensional slow continued fraction algorithm and stepped surface
Maki Furukado, Shunji Ito, Asaki Saito +2
We give a new algorithm of slow continued fraction expansion related to any real cubic number field as a 2-dimensional version of the Farey map. Using our algorithm, we can find th…