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MIXMAX

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

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

MIXMAX project word cloud

Explore the words cloud of the MIXMAX project. It provides you a very rough idea of what is the project "MIXMAX" about.

tunable relies carlo secondments generation simulations theory simulation particle perform techniques generators kolmogorov powerful concurrent experiments galois data era earlier nuclear lhc line monte physics ergodic anosov discoveries pseudo internal collective cern actions hep innovative demonstrates disseminate members material distributed multidisciplinary computational maximal chemistry computers turn primary random statistical excellent rng quantum usable natural efficient staff modern training science sciences undertakes software class environment complexity centers representing physical ideas network function manual systematic fundamental exchange heart dimensionality generator gravity

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""" "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.	EL (AGIA PARASKEVI)	coordinator	216˙000.00
2	EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH Organization address address: ESPLANADE DES PARTICULES 1 PARCELLE 11482 DE MEYRIN BATIMENT CADASTRAL 1046 city: GENEVA 23 postcode: 1211 website: www.cern.ch contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	CH (GENEVA 23)	participant	18˙000.00
3	KOBENHAVNS UNIVERSITET KOBENHAVNS UNIVERSITET Organization address address: NORREGADE 10 city: KOBENHAVN postcode: 1165 website: www.ku.dk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	DK (KOBENHAVN)	participant	18˙000.00
4	A I ALIKHANYAN NATIONAL SCIENCE LABORATORY A I ALIKHANYAN NATIONAL SCIENCE LABORATORY Organization address address: ALIKHANYAN YEGHBAYRNER 2 city: YEREVAN postcode: 375036 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	AM (YEREVAN)	partner	0.00
5	ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Organization address address: BATIMENT CE 3316 STATION 1 city: LAUSANNE postcode: 1015 website: www.epfl.ch contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	CH (LAUSANNE)	partner	0.00
6	NANJING UNIVERSITY NANJING UNIVERSITY Organization address address: HANKOU ROAD 22 city: NANJING postcode: 210093 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	CN (NANJING)	partner	0.00
7	NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF ARMENIA NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF ARMENIA Organization address address: 24 MARSHAL BAGHRAMIAN AVENUE city: YEREVAN postcode: 375019 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
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) 79â€“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 161â€“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 GÃ¶rlich, 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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