54 citations · 639 across the 81 of their papers we have counts for
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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…
Correlation Functions of Classical and Quantum Artin System defined on Lobachevsky Plane and Scrambling Time
Hrachya Babujian, Rubik Poghossian, George Savvidy
We consider the quantisation of the Artin dynamical system defined on the fundamental region of the modular group. In classical regime the geodesic flow in the fundamental region r…
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…
Lecture on Quantum Gravity with Perimeter Action and Gravitational Singularities
George Savvidy
Motivated by quantum-mechanical considerations we earlier suggested an alternative action for discretised quantum gravity which measures the perimeter of the space-time and has a d…
Artin Billiard Exponential Decay of Correlation Functions
Hasmik Poghosyan, Hrachya Babujian, George Savvidy
The hyperbolic Anosov C-systems have exponential instability of their trajectories and as such represent the most natural chaotic dynamical systems. Of special interest are C-syste…