Information Theory and Statistical Models Department
Head of Department:
Mariam Haroutunian
Phone: (+37460) 623546
Email: armar@ipia.sci.am
Web:
Specialization
In the department fundamental research in the fields of probabilistic Shannon information theory, classical and quantum statistics, modeling of multi  scale physicalchemical processes is carried out. Important results of research in this direction started in 60ies of the last century are given in monograph [1]. Selected publications in the past five years are given in the list.
Directions

Reliability Criterion in Information Theory
Head of Direction Dr., prof. Mariam Haroutunian
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The main objective of the research is to investigate the function expressing the optimal interdependence of main characteristics (transmission rate, error probability, reliability, distortion level, etc.) of complex systems for information reliable transmission, security and compression. Particularly, results are obtained for discrete memoryless multiterminal, varying channels, as well as for various models of sources. Informationtheoretical investigations are carried out on various security systems that are used in a number of fields.
Staff

Mathematical and Applied Statistics
Head of Direction PhD P. Hakobyan
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Investigations are devoted to mathematical statistics, as well as solving applied problems from various fields that require the use of statistical methods and computing resources. Particularly,
 development of methods for many statistical hypotheses optimal testing, that also have application in various informationtheoretic systems;
 solving problems related to portfolio theory using information theory and statistical methods;
 researches devoted to mathematical modelling of financial processes in financial markets, measurement and management of risks (uncertainties), assessment and forecasting of the cost of financial instruments.
Staff

Modeling of Multiscale PhysicalChemical Processes
Head of Direction Dr. Ashot Gevorkyan
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The objectives of scientific direction are theoretical, algorithmic and numerical studies of the multiscale and complex physicalchemical processes. In particular, the following studies are carried out:
 theoretical studies of the quantum and classical multichannel scattering in the threebody system. Creation of corresponding algorithms and program tools for numerical simulations of problem;
 theoretical study of the statistical properties of quantum systems immersed in a random environment, creation of appropriate algorithms for their numerical modelling;
 theoretical study of disordered spin systems. Creation of the highperformance program package for the numerical simulation of the problems from first principles of classical mechanics;
 theoretical study of the quantum vacuum within the framework of the gauge group of symmetry SU(2)xU(1) and SU(3) using stochastic YangMills equations for complex probabilistic processes;
 theoretical study of nucleons immersed in a multicolor gluon thermostat using a LangevinKlineGordonFock type equation. Numerical modeling of various nucleon parameters.
When conducting analytical research, various areas of modern mathematics are used, such ascomplex probabilistic processes, stochastic differential equations of different types, secondorder partial differential equations, systems of algebraic equations, Riemannian geometry, noncommutative geometry, topology, etc. Numerical calculations of problems are realized by wellknown programs (Mathematica, MATLAB, MAPLE) and also by special program packages created on C++ language.
Staff
Current Projects
 Investigation of mathematicalstatistical refined models of certain objects using informationtheoretical methods and applications
 Informationtheoretic analysis of identification and authentication for biometric applications
 E. Haroutunian, M. Haroutunian and A. Harutyunyan, “Reliability criteria in information theory and in statistical hypothesis testing”, Foundations and Trends in Communication and Information Theory, vol. 4, issue 23, 2008.
 E. Haroutunian, M. Haroutunian and N. Afshar, “Random coding bound for Ecapacity of the wiretap channel”, Proceedings of International Conference Computer science and information technologies CSIT 2011, pp. 121124, Yerevan 2011.
 E. Haroutunian, M. Haroutunian and N. Afshar, “Random coding bound for secrecy Ecapacity region of the broadcast channel with two confidential messages”, Mathematical Problems of Computer Science, vol. 36, pp. 7990, 2012.
 M. Haroutunian, A. Muradyan, and L. TerVardanyan, “Some numerical representations on biometric identification system”, Proceedings of Intern. Conf of Information Engineering, WCE London, 2012.
 M. Haroutunian, A. Muradyan, and L. TerVardanyan, “Upper and lower bounds of biometrical identification Ecapacity”, Mathematical Problems of Computer Science, vol. 37, pp. 716, 2012.
 M. Haroutunian, and L. TerVardanyan, “Informationtheoretic approach to biometric identification problem”, Mathematical Problems of Computer Science, vol. 38, pp. 5658, 2012.
 E. Haroutunian, M. Haroutunian and N. Afshar, “Random coding bound for Ecapacity region of the broadcast channel with confidential messages”, Comunications in Information and systems, no. 2, pp. 131156, 2012.
 E. Haroutunian, M. Haroutunian and N. Afshar, “On inner bound for Ecapacity region of the broadcast channel with confidential messages”, 20th Telecommunications Forum Telfor, (TELFOR), pp. 522524, 2012.
 M. Haroutunian and N. Pahlevanyan, “Information theoretical analysis of biometric generated secret key sharing model”, Mathematical Problems of Computer Science, v. 42, pp. 17 27, 2014.
 M. Haroutunian and N. Pahlevanyan, “Experimentation of advanced Inftheo module for R on the example of biometric generated secret key sharing system”, International Journal Information content & processing, vol. 2, no. 1, pp. 6270, 2015.
 E. Haroutunian and A. Yessayan, “On Reliability approach to multiple hypotheses testing and to identification of probability distributiions of two stochastically related objects”, Proseedings IEEE International Symposium on Information Theory, Sant Peterburg, pp. 2671—2675, 2011.
 A. Yessayan, E. Haroutunian and P. Hakobyan, “Error probability exponents in testing of many hypotheses for two independent objects.", Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences, vol. 35, pp. 3336, 2011.
 E. Haroutunian, P. Hakobyan and A. Yessayan, “Many hypotheses LAO testing with rejection of decision for arbitrarily varying object", Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences , vol. 35, pp. 7785, 2011.
 E. Haroutunian, P. Hakobyan and A. Yessayan, “On multiple hypotheses LAO testing with rejection of decision for many independent objects", Proceedings of International Conference CSIT 2011, pp. 117120, Yerevan 2011.
 F. Hormozinejad, E. Haroutunian and P. Hakobyan, “On LAO testing of multiple hypotheses for the pair of families of distributions”, Proceedings of International Conference CSIT 2011, pp. 135138, Yerevan 2011.
 A. Yessayan, “Computations of reliabilities interdependencies for optimal hypothesis testing of distributions for pair of statistically dependent objects”, Mathematics in Higher School, vol. 7, no. 2, pp 5—9, Yervan, 2011.
 E. Haroutunian, P. Hakobyan and F. Hormozi nejad, “On twostage logarithmically asymptotically optimal testing of multiple hypotheses concerning distributions from the pair of families”, Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences , vol. 37, pp. 2534, 2012.
 E. Haroutunian and P. Hakobyan, “On NeymanPearson principle in multiple hypotheses testing”, Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences , vol. 40, pp. 3438, 2013.
 E. Haroutunian, A. Martirosyan and A. Yesayan, “On application of optimal multihypothesis tests for the bounds construction of stock market” Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences , vol. 40, pp. 2330, 2013.
 E. Haroutunian, I. Safaryan, H. Petrosyan and A. Gevorkyan, “On identification of anomalies in multidimensional hydrogeochemical data as earthquake precursors”, Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences, vol. 40, pp. 7684, 2013.
 E. Haroutunian and P. Hakobyan, “Multiple objects: error exponents in hypotheses testing and identification”, Lecture Notes in Computer Science, Ahlswede Festschrift LNCS vol. 7777, Springer Verlag, pp. 313345, 2013.
 E. Haroutunian, P. Hakobyan and F. Hormozi nejad, “On Twostage LAO testing of multiple hypotheses for a pair of families of distributions”, International Journal of Ststistics and Econometrics Methods, vol. 2, no. 2, pp. 127156, 2013.
 E. Haroutunian, P. Hakobyan and A. Yessayan, “On LAO twostage Testing of Multiple Hypotheses Concerning Markov Chain”, Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences , vol. 41, pp. 6373, 2014.
 E. Haroutunian, I. Safaryan, A. Nazaryan and N. Harutyunyan, “Detection of heterogeneity in threedimensional data sequences: algorithm and applications”, Transactions of IIAP of the NAS of RA, Mathematical Problems of Computer Sciences, vol. 42, pp. 6372, 2014.
 E. Haroutunian and P. Hakobyan, “Most powerful test for multiple hypotheses”, Proceedings of International Conference Computer Science and Information Technologies, pp.110—112, 2015.
 E. Haroutunian, I. Safaryan and N. Harutyunyan, “Using rank tests and threshold copulas for classification of multidimensional data sets”, Proceedings of International Conference Computer Science and Information Technologies, pp. 113—114, 2015.
 A. S. Gevorkyan, “Nonrelativistic quantum mechanics with fundamental environment”, Foundation of Physics (2011), 41, Issue 3, pp 509515. DOI 10.1007/s107010109446y
 A. S. Gevorkyan, et al., “A disordered 1D quantum Nparticle system in an environment under the influence of an external field”, Phys. Scripta, pp 14 (2010), 014045: DOI:10.1088/00318949/2010/T140/014045:
 A. S. Gevorkyan, G. G. BalintKurti, G. Nyman, “Novel algorithm for simulation of 3D quantum reactive atomdiatom scattering”, Procedia CS 1(1): 11951201 (2010). 10.1016/j.procs.2010.04.133
 R. Sh. Sargsyan, A. S. Gevorkyan, et al., “Bioscope: new sensor for remote evaluation of the physiological state of biological system”, Edited by J. Bonca and S. Kruchinin, Proceedings of NATO ARW Physical properties of nanosystems, IOS, Press, 2011, p.299309.
 R. Sh. Sargsyan, G. G. Karamyan, A. S. Gevorkyan et al., “Nonlocal interactions between two spatially divided light fluxes”, AIP Proc. of the International Conference on Advances in Quantum Theory, N1327, pp. 465471, (2012).
 A. S. Gevorkyan, H. G. Abajyan and H. S. Sukiasyan, “A new parallel algorithm for simulation of spinglass systems on scales of spacetime periods of an external field”, Journal of Modern Physics, vol. 2, no. 6, pp. 488497, (2011).
 A. S. Gevorkyan, H. G. Abajyan and H. S. Sukiasyan, “A new parallel algorithm for simulation of spinglasses in external fields”, Proceedings of 34th International Convention of Information and Communication Technology, Electronics and Microelectronics: Grid and Visualization Systems conference, pp. 231235, (2011).
 A. S. Gevorkyan and A. A. Gevorkyan, “Maxwell electrodynamics subjected to quantum vacuum fluctuations”, Physics of Atomic Nuclei, vol. 74, No. 6, pp. 901–907 (2011).
 A. S. Gevorkyan, H. G. Abajyan, E. A. Ayryan, “On modeling of statistical properties of classical 3D spin glasses”, Bulletin of PFUR. Series Mathematics. Information Sciences. Physics, no. 4, pp. 91103, (2011).
 A. S. Gevorkyan and H. G. Abajyan, “On the description of a frustrated classical system within the conception of probability foundations”, Foundation of Probability and Physics, AIP Conf. Proc., N 1424, pp. 95104 (2012). Doi:10.1063/1.3688957.
 A. S. Gevorkyan and H. G. Abajyan, “A new parallel algorithm for simulation of spin glasses on scales of spacetime periods of external fields with consideration of relaxation effects”, Physics of Particles and Nuclei Letters, 9, No. 6–7, pp. 530–540 (2012).
 A. S. Gevorkyan, “Nonrelativistic quantum mechanics with fundamental environment”, Theoretical Concepts of Quantum Mechanics, pp 161186, Prof. M. R. Pahlavani (Ed.), ISBN: 9789535100881, InTech, (2012). Available from: http://www.intechopen.com/books/theoreticalconceptsofquantummechanics/nonrelativisticquantummechanicswithfundamentalenvironment
 A. S. Gevorkyan and H. G. Abajyan, “Classical spin glass system in external field with taking into account relaxation effects”, Physics of Atomic Nuclei, 2013, Vol. 76, No. 8, pp. 1015–1025. DOI: 10.1134/S1063778813080127
 A. S. Gevorkyan, “Nonrelativistic quantum mechanics with consideration of influence of fundamental environment”, Physics of Atomic Nuclei, 2013, Vol. 76, No. 8, pp. 1010–1014. DOI: 10.1134/S1063778813080115
 E. A. Ayryan, A. S. Gevorkyan and L. A. Sevastyanov, “A new dynamical system on the potential energy hypersurface of the classical three body problem”, Physics of Particles and Nuclei Letters (2013), 2013, Vol. 10, No. 7, pp. 1–8.
 A. S. Gevorkyan, “On reduction of the general threebody Newtonian problem and the curved geometry”, Journal of Physics: Conference Series 496 (2014) 012030 doi:10.1088/17426596/496/1/012030.
 A. S. Gevorkyan et al., “On reduction of NP hard problem to the P problem on the example of 1D spin glasses”, ICM2014, 13  21 August, 2014, Seoul, Korea.
 A. S. Gevorkyan and V. V. Sahakyan, “Statistical properties of 1D spin glasses from first principles of classical mechanics”. arXiv:1512.04044 [condmat.disnn].
 A. S. Gevorkyan, “On the motion of classical threebody system with consideration of quantum fluctuations”. arXiv:1512.01823v1 [mathph].
 E. A. Ayryan, A. S. Gevorkyan and V. V. Sahakyan, “New algorithm for simulation of 3D classical spin glasses under the influence of external electromagnetic fields”, Physics of Particles and Nuclei Letters, 2015, Vol. 12, No. 3, pp. 380–384.
 A.S. Gevorkyan, K.B. Oganesyan, Yu.V. Rostovtsev, G. Kurizki, “Gamma radiation production using positron annihilation in ionic crystals”, Laser Physics Lett., 12, 7, 2015.


