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MIXMAX

Development and Implementation of new generation of Pseudo Random Number Generators based on Kolmogorov-Anosov K-systems

Total Cost €

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EC-Contrib. €

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Partnership

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Project "MIXMAX" data sheet

The following table provides information about the project.

Coordinator
"NATIONAL CENTER FOR SCIENTIFIC RESEARCH ""DEMOKRITOS""" 

Organization address
address: END OF PATRIARCHOU GRIGORIOU E AND 27 NEAPOLEOS STREET
city: AGIA PARASKEVI
postcode: 15341
website: www.demokritos.gr

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Greece [EL]
 Project website http://www.inp.demokritos.gr/
 Total cost 360˙000 €
 EC max contribution 252˙000 € (70%)
 Programme 1. H2020-EU.1.3.3. (Stimulating innovation by means of cross-fertilisation of knowledge)
 Code Call H2020-MSCA-RISE-2014
 Funding Scheme MSCA-RISE
 Starting year 2015
 Duration (year-month-day) from 2015-01-01   to  2018-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    "NATIONAL CENTER FOR SCIENTIFIC RESEARCH ""DEMOKRITOS""" EL (AGIA PARASKEVI) coordinator 216˙000.00
2    EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CH (GENEVA 23) participant 18˙000.00
3    KOBENHAVNS UNIVERSITET DK (KOBENHAVN) participant 18˙000.00
4    A I ALIKHANYAN NATIONAL SCIENCE LABORATORY AM (YEREVAN) partner 0.00
5    ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE CH (LAUSANNE) partner 0.00
6    NANJING UNIVERSITY CN (NANJING) partner 0.00
7    NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF ARMENIA AM (YEREVAN) partner 0.00

Map

 Project objective

Modern powerful computers open a new era for the application of the Monte Carlo method for the simulation of physical systems of higher complexity. The Monte Carlo simulations are important computational techniques in many areas of natural sciences and have significant application in particle and nuclear physics, quantum physics, statistical physics, quantum chemistry, material science, among many other multidisciplinary applications. In the heart of the Monte Carlo simulations are Pseudo Random Number Generators (RNG). The primary objective of the proposed network is a systematic development and implementation of the state of the art new generation of Pseudo Random Number Generators based on Kolmogorov-Anosov K-systems, which demonstrates excellent statistical properties, into a multidisciplinary usable product. This innovative class of RNG was proposed earlier by the members of the network and relies on the fundamental discoveries and results of Ergodic theory. In order to turn these ideas and earlier research on K-systems generators into a usable product the network undertakes the following actions: To develop an efficient program of the K-system generator with tunable internal parameters of maximal dimensionality and of the order of the Galois field, embedded into a user friendly environment and with an on-line manual; To provide statistical data representing internal characteristics of the K-system generator as a function of the dimensionality of the generator and of the order of the Galois field; To implement the K-system generator into the concurrent and distributed software at CERN for applications in LHC and other HEP experiments; To perform large scale simulations in Quantum Gravity and Quantum Field Theory based on K-system generator. To disseminate the product at CERN and other research centers.These objectives will be achieved by secondments,exchange of knowledge, collective research and training between staff members of the five partners.

 Deliverables

List of deliverables.
Multi-thread Programmes Documents, reports 2019-05-22 21:01:30
Critical Indices and Loop Integrals Documents, reports 2019-05-22 21:01:30
MIXMAX generator Demonstrators, pilots, prototypes 2019-05-22 21:01:29
Statistical Data Documents, reports 2019-05-22 21:01:29

Take a look to the deliverables list in detail:  detailed list of MIXMAX deliverables.

 Publications

year authors and title journal last update
List of publications.
2018 Hayk Poghosyan, Konstantin Savvidy and George Savvidy
Classical Limit Theorems and High Entropy MIXMAX random number generator
published pages: 79-89, ISSN: 2241-0503, DOI:
Chaotic Modeling and Simulation 1 (2018) 79–89 2019-05-30
2018 Brachia Babujian, Rubik Poghossian and George Savvidy
Correlation Functions of Classical and Quantum Artin System defined on Labachevsky Plane and Scrambling Time
published pages: , ISSN: , DOI:
https://arxiv.org/abs/1808.02132 2019-05-30
2019 Narek Martirosyan, Konstantin Savvidy, George Savvidy
Spectral test of the MIXMAX random number generators
published pages: 242-248, ISSN: 0960-0779, DOI: 10.1016/j.chaos.2018.11.024
Chaos, Solitons & Fractals 118 2019-05-30
2018 Konstantin Savvidy and George Savvidy
Quantum-Mechanical interpretation of Riemann zeta function zeros
published pages: , ISSN: , DOI:
https://arxiv.org/abs/1809.09491 2019-05-22
2108 Hracha Babujian, Hasmik Poghosyan and George Savvidy
Artin Billiard. Exponential Decay of Correlation Functions
published pages: 22 pages, ISSN: , DOI:
https://arxiv.org/abs/1802.04543 2019-05-22
2017 Narek Martirosyan, Gevorg Karyan and Norayr Akopov
Statistical Tests for MIXMAX Pseudorandom Number Generator
published pages: 12 pages, ISSN: 0131-4645, DOI:
Mathematical Problems of Computer Science 47 (2017) 37-49 2019-05-30
2016 Konstantin Savvidy and George Savvidy
Spectrum and Entropy of C-systems. MIXMAX random number generator
published pages: , ISSN: 0960-0779, DOI: 10.1016/j.chaos.2016.05.003
Chaos Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, 91 (2016) 33-38 2019-05-30
2015 Konstantin G. Savvidy,
The MIXMAX random number generator
published pages: Pages 161–165, ISSN: 0010-4655, DOI: 10.1016/j.cpc.2015.06.003
Computer Physics Communications Volume 196, November 2015, 2019-05-30
2017 Hayk Poghosyan, Konstantin Savvidy and George Savvidy
Classical limit theorems and high entropy MIXMAX random number generator
published pages: pages: 661-675, ISSN: , DOI:
Proceedings of the 10th Chaotic Modeling and Simulation International Conference Barcelona, Spain: 30 May-2 June 2019-05-30
2016 G. K. Savvidy
Anosov C-systems and random number generators
published pages: 1155-1171, ISSN: 0040-5779, DOI: 10.1134/S004057791608002X
Theoretical and Mathematical Physics 188/2 2019-05-30
2018 George Savvidy, Konstantin Savvidy
Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers
published pages: 244-250, ISSN: 0960-0779, DOI: 10.1016/j.chaos.2018.01.007
Chaos, Solitons & Fractals 107 2019-05-30
2016 Andrzej Görlich, Marios Kalomenopoulos, Konstantin Savvidy, George Savvidy
Distribution of periodic trajectories of C-K systems MIXMAX pseudorandom number generator
published pages: 1750032, ISSN: 0129-1831, DOI: 10.1142/S0129183117500322
International Journal of Modern Physics C Vol. 28, No. 2 (2017) 1750032 ( 2019-05-30

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