# George Savvidy

## H2020-MSCA-RISE-MIXMAX

Action title:

Development and Implementation of new generation of Pseudo Random Number
Generator MIXMAX

based on Anosov-Kolmogorov C-K systems

This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sk´lodowska-Curie grant agreement No 644121.

Summary:

Participants:

2. EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

3. KOBENHAVNS UNIVERSITET

4. A.I.ALIKHANYAN NATIONAL SCIENCE LABORATORY

5. NANJING UNIVERSITY

Meetings and Workshops:

FIRST MIXMAX NETWORK MEETING and SUMMER RESEARCH WORKSHOP at CERN, July 3 - July 17, 2015

SECOND MIXMAX NETWORK MEETING and SUMMER RESEARCH WORKSHOP at CERN, July 4 - July 18, 2016

CONFERENCE and MIXMAX MTR NETWORK MEETING at NCSR "Demokritos", September 5, 2016,

MIXMAX NETWORK MEETING: Overview of the ROOT and Geant4 Software at CERN at NCSR "Demokritos", May 3, 2017

CONFERENCE and Workshop of the MIXMAX Consortium in Athens at NCSR "Demokritos", July 3-4, 2018

The MIXMAX code in C and C++11 standard interface can be found here

The MIXMAX code for GSL - GNU Scientific Library can be found here.

The MIXMAX "thermodynamical" parameters: Dimension, Entropy, Decorrelation time, Relaxation time

There is a rather detailed MIXMAX Manual and the demonstaration of the generated numbers in 2D planes

The BigCrush testU01 of the MIXMAX generator of dimension N=256.

The CAcert Research Lab test of the MIXMAX generator of dimension N=240.

The BigCrush testU01 of various RNGs .

Chapter on MIXMAX in the book: "using C++" .

Publications:

- George Savvidy and Natalia Savvidy.

On the Problem of Monte Carlo Modelling of Physical Systems

EFI-865-16-86-YEREVAN, EFI-865(16)-86, Jan 1986. 13pp. -
George Savvidy and Natalia Savvidy

On the Monte Carlo Simulation of Physical Systems.

J.Comput.Phys. 97 (1991) 566 - Konstantin Savvidy,

The MIXMAX random number generator

Computer Physics Coomunications 196 (2015) 161

e-print arXiv:1403.5355 - George Savvidy,

Anosov C-systems and Random Number Generator

Theor.Math.Phys. 188 (2016) 1155-1171; e-print arXiv:1507.06348 - Konstantin Savvidy and George Savvidy,

Spectrum and Entropy of C-systems. MIXMAX random number generator.

Chaos Fractals Solitons 91 (2016) 33; e-print arXiv:1510.06274 - Andrzej Görlich, Marios Kalomenopoulos, Konstantin Savvidy and George Savvidy,

Distribution of periodic trajectories of C-K systems. MIXMAX pseudorandom number generator

J.Mod.Phys. C28 (2016) 1750032; e-print arXiv:1608.03496 - Konstantin Savvidy and George Savvidy,

Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers

Chaos Fractals Solitons 107 (2018) 244-250 ; e-print arXiv:1702.03574 - Hasmik Poghosyan, Hrachya Babujian and George Savvidy,

Artin Billiard Exponential Decay of Correlation Functions

Theor.Math.Phys. (2018) ; e-print arXiv:1802.04543 - Hayk Poghosyan, Konstantin Savvidy and George Savvidy,

Classical limit theorems and high entropy MIXMAX random number generator

Chaotic Modeling and Simulation (CMSIM) 1 (2018) 79-89 ; e-print arXiv:1708.04129 - Narek Martirosyan, Konstantin Savvidy and George Savvidy,

Spectral Test of the MIXMAX Random Number Generators

e-print arXiv:1806.05243 - Hrachya Babujian, Rubik Poghossian and George Savvidy,

Correlation Functions of Classical and Quantum Artin System defined on Labachevsky Plane and Scrambling Time

e-print arXiv:1808.02132 - Talk at CERN on
"PRNGs based on Anosov-Kolmogorov C-K-systems"

George Savvidy (SFT Group Meeting, CERN, Switzerland, March 2014)

- Talk at CERN on
"The MIXMAX Random Number Generator.

Integration of the MIXMAX engine into the CERN Scientific Software ROOT and Geant4"

George Savvidy (SFT Group Meeting, CERN, Switzerland, May 2017)

https://indico.cern.ch/event/308953/ - MIXMAX in ROOT Release 6.04/06 on 2015-10-13,

- MIXMAX in CLHEP/GEANT4 Release 2.3.1.1 on 2015-11-10