122 citations · 499 across the 28 of their papers we have counts for
28 papers
Quantum-Mechanical interpretation of Riemann zeta function zeros
George Savvidy, Konstantin Savvidy
We demonstrate that the Riemann zeta function zeros define the position and the widths of the resonances of the quantised Artin dynamical system. The Artin dynamical system is defi…
Spectral Test of the MIXMAX Random Number Generators
Narek Martirosyan, Konstantin Savvidy, George Savvidy
An important statistical test on the pseudo-random number generators is called the spectral test. The test is aimed at answering the question of distribution of the generated pseud…
A Priori Tests for the MIXMAX Random Number Generator
Spyros Konitopoulos, Konstantin G. Savvidy
We define two a priori tests of pseudo-random number generators for the class of linear matrix-recursions. The first desirable property of a random number generator is the smallnes…
Classical limit theorems and high entropy MIXMAX random number generator
Hayk Poghosyan, Konstantin Savvidy, George Savvidy
We investigate the interrelation between the distribution of stochastic fluctuations of independent random variables in probability theory and the distribution of time averages in…
Hyperbolic Anosov C-systems. Exponential Decay of Correlation Functions
George Savvidy, Konstantin Savvidy
The uniformly hyperbolic Anosov C-systems defined on a torus have exponential instability of their trajectories, and as such C-systems have mixing of all orders and nonzero Kolmogo…
Distribution of periodic trajectories of Anosov C-system
Andrzej Görlich, Marios Kalomenopoulos, Konstantin Savvidy +1
The hyperbolic Anosov C-systems have a countable set of everywhere dense periodic trajectories which have been recently used to generate pseudorandom numbers. The asymptotic distri…