4 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…
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…