Mathematical modeling, Mathematical and computational algorithms, Bio-inspired methods, Network resource management, Queuing theory, System modeling, Optimization methods

Publications of Dmitri Botvich

• Kandavanam G., Botvich D., Balasubramaniam S. and Kulathunga C.. PaCRAm: Path aware Content Replication Approach with Multicast for IPTV Networks. Accepted at the 53rd IEEE Global Communications Conference 2010 (Globecom 2010), 6-10 December 2010, Miami, USA .
• Chapel L., Botvich D. and Malone D. Probabilistic Approaches to Cheating Detection in Online Games. The 6th IEEE Conference on Computational Intelligence and Games (CIG 2010), 18-21 of August, 2010, Copenhagen, Denmark.
• Kulatunga, C., Botvich, D., Balasubramaniam, S., Donnelly, W.. Analysis of Block-aware Peer Adaptations in Substream-based P2P. International Conference on Broadband Communications, Networks, and Systems (ICST/BroadNets), October 2010, Athens, Greece.

• Qi, H., Malone, D., Botvich, D. Optimization of Capacity in various 802.11 Gaming Scenarios. Accepted at International Journal of Advanced Media and Communication, 2010.

• Balasubramaniam S., Botvich D., Mineraud J., Donnelly W., Agoulmine N., BiRSM: Bio-Inspired Resource Self-Management for All IP-Networks, IEEE Network, Vol. 24, no. 3, May 2010

• Kandavanam G., Botvich D., Balasubramaniam S. and Suganthan P. N.. Achieving High Robustness and Performance in Performing QoS-aware Route Planning for IPTV Networks. Accepted at IEEE Congress on Evolutionary Computation, 18-23 July 2010, Barcelona, Spain.

• Jennings B., Feeney K., Brennan R., Balasubramaniam S., Botvich D., and S.van der Meer. Autonomic Network Management Principles, chapter Federating Autonomic Network Management Systems for Flexible Control of End-to-end Communications Services [to appear], pages – . Elsevier, 2010.

• Butler B., Jennings B. & Botvich D. XACML policy performance evaluation using a flexible load testing framework. Accepted at the 17th ACM Conference on Computer and Communications Security (CCS 2010), October 4-8, 2010, Hyatt Regency Chicago, Chicago, IL, USA.

• Kandavanam G., Botvich D., and Balasubramaniam S. PaCRA: A Path-aware Content Replication Approach to support QoS guaranteed video on demand service in metropolitan IPTV networks. In Proc. 12th IEEE/IFIP Network Operations and Management Symposium (NOMS 2010), April 2010, Osaka, Japan.

• Ivanov, S., Botvich, D., Balasubramaniam, S.. Joint throughput and packet loss probability analysis of IEEE 802.11 networks. accepted for IEEE symposium on Computers and Communications, Riccione, Italy.

• Botvich, D., McGibney, J., Ostapenko, G., De Paoli, S., Kerr, A. and Keatinge, M. Integrating Players, Reputation and Ranking to Manage Cheating in MMOGs. FDG 2010: The 5th ACM International Conference on the Foundations of Digital Games, 19-21 June 2010, Monterey, California.

• Ivanov, S., Botvich, D., Balasubramaniam, S., Gradient Based Routing support for Cooperative Multi-Channel MAC in Ad Hoc Wireless Networks. accepted for International Conference on Advanced Information Networking and Applications (AINA 2010), Perth, Australia.

• Malone P., McGibney J., McLaughlin M. and Botvich D.. Implementing a Trust Overlay Framework for Digital Ecosystems. 3rd International OPAALS Conference on Digital Ecosystems, 22-23 March, 2010, Aracaju, SE, Brazil.

• De Paoli, S., Gangadharan, G., Kerr, A., D’Andrea, V., Serrano, M., Botvich, D. (2010). Toward Trust as Result: An Interdisciplinary Approach, ALPIS 2010, Online proceedings: http://sprouts.aisnet.org/10-8/.

• Balasubramaniam, S., Botvich, D., Carroll, R., Mineraud, J., Nakano, T., Suda, T., Donnelly, W., Adaptive Dynamic Routing Supporting Service Management for Future Internet, in Proceedings of the Global Communication Conference (Globecom) 2009, Hawaii, December 2009.

• Qi, H., Malone, D., Botvich, D., 802.11 Wireless LAN Multiplayer Game Capacity and Optimization, NetGames 2009. 23-24 November 2009.
• Maassen H., Botvich D. A Galton-Watson Estimate for Dyson Series, Annales Henri Poincare , Volume 10, Number 6 (November, 2009), pp.1141-1158.

• Carroll, R., Balasubramaniam, S., Botvich, D., Donnelly, W., The Effect of Community on Distributed Bio-Inspired Service Composition (invited paper), in proceedings of 4th International Workshop on Natural Computing (IWNC09), Japan, September 2009.

• Kandavanam G., Botvich D., Balasubramaniam S., An Optimizaton based Approach to Maximizing QoS Assurance for IPTV Triple Play Services on the Internet Backbone, accepted for 34th IEEE Conference on Local Computer Networks (LCN), Zurich, Switzerland 2009

• Kandavanam, G., Botvich, D., Balasubramaniam, S. & Jennings, B., 2009, A Hybrid Genetic Algorithm / Variable Neighborhood Search Approach to Maximizing Residual Bandwidth of Links for Route Planning, in Proc. 9th Int’l Conf. on Artificial Evolution (EA 2009), Strasbourg, France, October 2009.

• Balasubramaniam, S., Botvich, D., Mineraud, J., Donnelly, W., Parameterised Gradient Based Routing (PGBR) for Future Internet, accepted for 23rd IEEE International Conference on Advanced Information Networking and Applications (AINA 09), Bradford, UK, May 2009.

• Ivanov S., Botvich D., Balasubramaniam S., Popova N., Avoiding Redundant Channel Blocking in Cooperative Multi-Channel MAC protocols through Virtual topology Inferencing, accepted for 2nd IEEE Cooperative Mobile Networks (CoCoNet2), collocated with IEEE ICC 2009, Dresden, Germany.

• Kandavanam G., Botvich D., Balasubramaniam S., Suganthan P., Tasgetiren M. F., A Dynamic Bandwidth Guaranteed Routing Using Heuristic Search for Clustered Topology, accepted for 2nd IEEE International Symposium on Advanced Networks and Telecommunication Systems (ANTS), Bombay, India, December 2008.

• Balasubramaniam S., Botvich D., Mineraud J., O Foghlu M., Donnelly W., Self-sustaining Composed Service Groups for Future Internet, accepted for 1st Symposium on Applied Sciences in Biomedical and Communication Technologies, Aalborg, Denmark, October 2008. (invited paper)

• Walsh F., Balasubramaniam S., Botvich D., Suda T., Nakano T.,. Bush S.F, O Foghlu M., Hybrid DNA and Enzymatic based Computation for Address Encoding, Link Switching and Error Correction in Molecular Communication, in Proceedings of 3rd International Conference on Nano-Networks (Nano-Net), Boston, USA, 2008.

• Power G., Foley C., Balasubramaniam S., Botvich D., An Adaptive Middleware Applied to the Ad-hoc Nature of Cardiac Health Care, accepted for 1st International Workshop on Middleware for Mobile Embedded Peer-to-Peer Systems, Dublin, Ireland, July 2008.

• Foley C., Balasubramaniam S., Botvich D., Donnelly W., Michaelis S., Schmutzer J., Stair T., Distributed Pervasive Services using Group Service communication supporting Body Area Networks, in Proceedings of Bodynets 2008, Tempe, Arizona, USA, March 2008.

• Davy, A., Botvich, D. and Jennings, B. 2009, An Approach to Measurement based Quality of Service Control for Communications Networks, in Proc. 2009 IFIP/IEEE International Symposium on Integrated Network Management (IM 2009) [Dissertation Digests], New York, USA, June 2009.

• Troussov, A., Levner, E., Bogdan, C., Judge, J., Botvich, D. “Spread of Activation Methods. in Dynamic and Advanced Data Mining for Progressing Technological Development, Y. Xiang and S. Ali (eds) IGI (to appear 2009).

• Balasubramaniam, S., Botvich, D., Jennings, B., Davy, S., Donnelly, W. & Strassner, J. 2009, Policy-constrained Bio-inspired Processes for Autonomic Route Management, Computer Networks, vol. 53, pp. 1666-1682.

• Troussov A., Sogrin M., Judge J., Botvich D.. Mining Socio-Semantic Networks Using Spreading Activation Technique. In Proceedings of I-KNOW 08 and I-MEDIA 2008, Graz, Austria, September 3-5, 2008

• Davy, A., Botvich, D. & Jennings, B. 2008, Revenue Optimized IPTV Admission Control using Empirical Effective Bandwidth Estimation, IEEE Transactions on Broadcasting, vol. 54, iss. 3 (part 2), pp. 599-611.

• Osmani V., Balasubramaniam S., Botvich D., Human Activity Recognition in Pervasive Health-care: Supporting Efficient Remote Collaboration, Journal of Networks and Computer Applications, 31, 2008, pp. 628 – 655.

• Walsh, F., Balasubramaniam, S., Botvich, D., Nakano, T., Suda, T.; Simulation Framework for Communication Protocols of Molecular Communication Systems; accepted for 2nd Workshop on Computing and Communications from Biological Systems: Theory and Applications, Hyogo, Japan, November 2008.

• McGibney J. and Botvich D. A Trust Based System for Enhanced Spam Filtering, to appear in Journal of Software , 2008.
• Foley C., Balasubramaniam S., Botvich D., Donnelly W., Michaelis S., Schmutzer J., Stair T., Distributed Pervasive Services using Group Service communication supporting Body Area Networks, accepted for Bodynets 2008, Tempe, Arizona, USA, March 2008.

• Davy, A., Botvich, D. & Jennings, B. 2007, QoSPlan: A Process for QoS-Aware IP Network Planning using Accounting Data and Effective Bandwidth Estimation, in Proc. 50th Global Communications Conference (Globecom 2007) , pp. 2690-2695.

• McGibney, J. & Botvich, D. (2007) Distributed dynamic protection of services on ad hoc and p2p networks , The 7th IEEE International Workshop on IP Operations and Management , San Jose, 31 October – 2 November, Springer Lecture Notes in Computer Science (LNCS) vol. 4786, pp 95-106.

• Ion, M., Telesca, L., McGibney, J. & Botvich, D. (2007) An evolutionary multidimensional trust model for digital ecosystems , The 1st International Conference on Open Philosophies for Associative Autopoietic Digital Ecosystems , Rome, 26-27 November.

• Davy, A., Botvich, D. & Jennings, B. 2007, Empirical Effective Bandwidth Estimation for IPTV Admission Control in Real-time Mobile Multimedia Services (Proc. 10th International Conference on Management of Multimedia and Mobile Networks and Services ), eds. D. Krishnaswamy, T. Pfeifer & D. Raz, LNCS 4787, Springer, Heidelberg, pp. 125-137.

• McGibney, J. & Botvich, D. (2007) Collaborative strategies for reducing attacks on ad hoc network nodes , The 18th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (CAMAD workshop) , Athens, 7 September, IEEE.

• McGibney, J. & Botvich, D. (2007) A service-centric approach to access control and monitoring based on distributed trust , The 3rd IBM CAS Software and Systems Engineering Symposium , Dublin, 24 October, CASCON (ACM Digital Library), pp 294-305.

• Walsh F., Balasubramaniam S., Botvich D., Donnelly W., Sergeyev S., Development of Molecular based Communication Protocols for Nanomachines, in Proceedings of 2nd International Conference on Nano-Networks (Nano-Net), Catania, Sicily, Italy, 2007

• Balasubramaniam S., Botvich D., Walsh F., Bush S., Donnelly W., Sergeyev S., Applying Compartmentalization Techniques to Communication Protocols of Biological Nano and MEMS Devices, in Proceedings of 4th International Conference on Broadband Communications, Networks, and Systems (IEEE BROADNETS 2007), Raleigh, North Carolina, USA, September 2007.

• Walsh F., Balasubramaniam S., Botvich D., Donnelly W., Review of Communication Mechanisms for Biological Nano and MEMS Devices, in Proceedings of Workshop on Computing and Communications from Biological Systems: Theory and Applications (CCBS) , in conjuction with 2nd International Conference on Bio-Inspired Models of Network, Information, and Computing Systems (BIONETICS), Budapest, Hungary, 2007.

• Jennings B., van der Meer S., Balasubramaniam S., Botvich D., O Foghlu M., Donnelly W., Strassner J. Towards Autonomic Management of Communication Networks, IEEE Communications Magazine , vol. 45, no. 10, pp. 112-121, (2007).

• Kandavanam G., Botvich D.D., Balasubramaniam S., Suganthan P.N. and Donnelly W. A Multi-layered Solution for supporting ISP traffic demand using Genetic Algorithm, The Congress on Evolutionary Computation 200 (CEC) , September 25-28 2007, Singapore.

• McGibney J., Botvich D.D. & Balasubramaniam S. A Combined Biologically and Socially Inspired Approach to Mitigating Ad Hoc Network Threats, The 66th IEEE Vehicular Technology Conference (VTC 2007 Fall) , Baltimore, USA, September – October 2007.

• Osmani V., Balasubramaniam S., Botvich D. A Bayesian Network and Rule-Base Approach for Activity Inference in Pervasive Environments, The 66th IEEE Vehicular Technology Conference (VTC 2007 Fall), Baltimore, USA, September – October 2007.

• Balasubramaniam S., Botvich D., Donnelly W., Strassner J. A Biologically Inspired Policy Based Management System for Survivability in Autonomic Networks, Fourth International Conference on Broadband Communications, Networks, and Systems (IEEE Broadnets 2007) , Raleigh, North Carolina, USA, September 2007.

• McGibney J. & Botvich D.D. Establishing trust between mail servers to improve spam filtering, The 4th International Conference on Autonomic and Trusted Computing (ATC) , Hong Kong, LNCS, Springer, July 2007.

• Davy A., Botvich D. & Jennings B. On The Use of Accounting Data for QoS-Aware IP Network Planning, Managing Traffic Performance in Converged Networks, Lecture Notes in Computer Science (LNCS) 4516-0348, Eds. L. Mason, T., Drwiega, Springer-Verlag Berlin Heidelberg, Proc. 20th International Teletraffic Congress, ITC-20, pp.348 – 360. June, 2007.

• Osmani V., Balasubramaniam S., Botvich D. Self-Organising Object Networks using Context Zones for Distributed Activity Recognition, Second International Conference on Body Area Networks (BodyNets 07) , Florence, Italy, June 2007.

• Osmani V., Balasubramaniam S., Botvich D. Challenges for Human Activity Recognition, The 4th International Workshop on Managing Ubiquitous Communications and Services (MUCS 2007) , Munich, Germany 2007.

• Balasubramaniam S., Botvich D., Agoulmine N., Donnelly W. A Multi-layered approach towards achieving Survivability in Autonomic Networks, The 14th IEEE International Conference on Telecommunications and 8th IEEE Malaysia International Conference on Communications , Penang, Malaysia, May 2007.

• Balasubramaniam S., Botvich D., Donnelly W., O Foghlu M., Strassner J. Bio-inspired Framework for Autonomic Communication Systems, The book chapter in Advances in biologically inspired information Systems: Models, Methods, and Tools , Studies in Computational Intelligence, Springer Verlag. Editors Falko Dressler and Iacopo Carreras, 2007.

• Balasubramaniam S., Botvich D., Tao Gu, Donnelly W. Chemotaxis and Quorum Sensing inspired Interaction supporting Social Networking, The 65th IEEE Vehicular Technology Conference (VTC) ,, Dublin, Ireland, April 2007.

• McGibney J., Botvich D. A trust overlay architecture and protocol for enhanced protection against spam, The 2nd International Conference on Availability, Reliability and Security (ARES) , IEEE CS press, Vienna, April, 2007, pp 749-756.

• Balasubramaniam S., Botvich D., Donnelly W., O Foghlu M., Strassner J. Application of Blood Glucose Homeostasis, Chemotaxis, and Hormone Signaling towards Self-Governance and Self-Organisation for Autonomic Networks, Proceedings of First International Conference on Bio Inspired models of Networks, Information and Computing Systems (BIONETICS) , Cavalese, Italy, December 2006.

• Agoulmine N., Balasubramaniam S., Botvich D., E.Lehtihet, Strassner J., Donnelly W. Challenges for Autonomic Network Management, The First conference on Modelling Autonomic Communication Environment (MACE) , Dublin, Ireland, October 2006.

• Balasubramaniam S., Botvich D., Donnelly W., Agoulmine N. Applying Blood Glucose Homeostatic model towards Self-Management of IP QoS Provisioned Networks, The 6th IEEE International Workshop on IP Operations and Management (IPOM 2006) , Dublin, Ireland, 2006.

• Davy A., Botvich D. & Jennings B. Efficient process for estimating QoS aware network demand for network planning, The 6th IEEE International Workshop on IP Operations and Management (IPOM 2006) , Dublin, Ireland, 2006.

• Balasubramaniam S., Donnelly W., Botvich D.D., Agoulmine N., Strassner J. Towards Integrating Principles of Molecular Biology for Autonomic Network Management. The 13th HP Open View University Association Workshop (HP-OVUA), Sophia Antipolis, France, 2006.

• Murphy S., Botvich D.D., Curran T. On design of diffserv/MPLS networks to support VPNs, In Proceedings of the 16th UK Teletraffic Symposium, May 2000.

• Botvich, D., Guctua, M., Maassen, H.: Stability of Bose dynamical systems and branching theory, Preprint (mp-arc 99-130), 1999.

• Murphy S., Botvich D.D., Curran T. Traffic Partitioning Using Algorithmic Mechanisms for Cost Analysis. In Proceedings of the. 16th International Teletraffic Congress, pub. Elsevier Science B. V., Edinburgh, June 1999.

• Lodge F., Botvich D.D., Currant T. Using Revenue Optimization for the Maximization of Intelligent Network Performance. In Proceedings of the. 16th International Teletraffic Congress, pub. Elsevier Science B. V., Edinburgh, June 1999.

• Murphy S., Botvich D.D., Curran T. Cost comparisons of private voice network solutions. In Proceedings of the 15th UK Teletraffic Symposium, Durham, UK, March 1998.

• Lodge F., Botvich D.D., Currant T. A Fair Intelligent Network Congestion Control Strategy Based on Revenue Optimization. In Proceedings of the 5th International Conference on Intelligence and Services in Networks, IS&N 98, Lecture Notes in Computer Science 1430, Springer 1998.

• Botvich D., Curran T., McEntee P., McGibney J., and Morris D., A techno-economic analysis of some ATM charging schemes for aggregate LAN interconnect, IEE Colloquium: Charging for ATM – The Reality Arrives, London, England, November 1997.

• Chen Y., Botvich D.D., Curran T., Kerswell B., McGibney J., Morris D. On Charging for Internet Services provided over ATM network. In Proceedings of the IEEE ATM 97 Workshop, Lisbon (Portugal), 26-28 May 1997, pp.669-679.

• Lodge F., Botvich D.D., Currant T. A fair algorithm for throttling combined IN and non-IN traffic at SSP of the intelligent network. In Proceedings of the 14th UK Teletraffic Symposium Performance Engineering in Information Systems, Manchester (UK), 24-26 March 1997, pp. 26/1-26/9.

• Botvich D.D., Currant T. On implementation of usage based charging schemes for rt-VBR service. In Proceedings of the 14th UK Teletraffic Symposium Performance Engineering in Information Systems, Manchester (UK), 24-26 March 1997, pp. 4/1-4/8.

• Botvich D.D., Currant T. On multiplexing gain of SBR and rt-VBR transport services in ATM. Networks. In Proceedings of the 14th UK Teletraffic Symposium Performance Engineering in Information Systems, Manchester (UK), 24-26 March 1997, pp. 3/1-3/5.

• Botvich D.D., Curran T., Duffield N.G., Murphy S. Allocating bandwidth from traffic descriptors of ATM traffic. Proceedings of the 3rd workshop on performance modelling and evaluation of ATM networks, Bradford, 3-5 July. (1995).

• Corcoran T.J., Botvich D.D., Duffield N.G. & Farrell P. Economies of scale in long and short buffers of large multiplexers. Proceedings of 12th IEE UK Teletraffic Symposium, Windsor, 15-17 March 1995, IEE London (1995).

• Botvich D.D. & Duffield N. Large deviations, economies of scale, and the shape of the loss curve in large multiplexers. Queuing Systems, 20, 293-320 (1995).

• Botvich D.D., Zamyatin A.A. Fluid Approximations for Conservative Networks. Markov Processes and Related Fields, 1995, v.1, N 1, 113-140.

• Botvich, D., Fayolle, G., Malyshev, V.: Loss Networks in Thermodinamic Limit, In: 11th Conf. Analysis and Optimisation of Systems: discrete event systems, Sopia-Antipolis France 1994, Springer Verlag Berlin, Lect. Notes Control Inf. Sci. 199, (1994), 465–489.

• Botvich D.D., Zamyatin A.A. Ergodic Conditions for Conservative Communication Networks. Discrete Mathematics, 1994,v.6, N 2, 122-135.

• McGibney J., Botvich D., and Curran T., Modern global optimisation heuristics in the long term planning of networks, ATNAC 94, Melbourne, Australia, December 1994.

• MacFhearraigh A., Botvich D.D., Curran T., Murphy S. Hierarchical Approach to Video Source Modelling. In Proceedings of the 11th UK Teletraffic Symposium, Cambridge, UK, May 1994.

• Newcombe A., Lodge F., Botvich D.D. & Curran T. A Decision Support System for Assurance of Quality of Service in Intelligent Network Service Provisioning. In Proceedings of the Second International Conference on Intelligence in Broadband Services and Networks , IS&N94, 419-431.

• Botvich D.D., Zamyatin A.A. Ergodicity Of Queueing Networks with Batch Arrivals and Batch Service. Problems of Transmission Information, 1993, N 3, 76-85.

• Botvich D.D., Zamyatin A.A. Ergodic Properties Of Queueing Networks with Batch Arrivals and Batch Service. Rapport de Recherche, 1993, N 1855, INRIA.

• Botvich D.D., Zamyatin A.A. Ergodicity of Conservative Communication Networks. Rapports de Recherche, 1992, N 1772, INRIA.

• Botvich D.D., Malyshev V.A, Scacciatteli E. Kinetic Equations for Fermi System I: Linear Boltzmann Equation. CARR Preprints, 1993, Rome University La Sapienza.

• Botvich D.D., Malyshev V.A, Scacciatteli E. Kinetic Equations for Fermi System I: Master Equation. CARR Preprints, 1993, Rome University La Sapienza.

• Botvich D.D., Malyshev V.A., Manita A.D. Translation Invariant Quantum Master Equation. Helv. Phys. Acta, 1991, V.64, 1072-1092.

• Botvich D.D. & Malyshev V.A. Asymptotic Completeness and All That for an Infinite Number of Fermions. In: Advances in Soviet Mathematics, V.5, P.39-98, 1991. Providence, Rhode Island, AMS Publication.

• Aizenstadt V.V, Botvich D.D., Malyshev V.A. Bounded Perturbations of Free Dynamics of Quantum System. Moscow, VINITI, 1990. Ser.:Theory Probability. V.27, P.3-78. (in Russian)

• Botvich D.D., Malyshev V.A., Domnenkov A.Sh. Examples of Asymptotic Completeness in Translation Invariant Systems with Nonbounded Number of Particles. Acta Appl.Math., (1991), V.22.,N.1,P.117-138.

• Botvich D.D. & Malyshev V.A. The proof of Asymptotic Completeness Uniformly on the Number of Particles. Izvest.Akad.Nauk USSR.Ser.Math., 54,132-145 (1990).

• Botvich D.D., Mamonov A.V. & Shmelev G.S. Computational geometry and computer graphics. I. Lecture notes for students, MASI Institute, 1988, P.1-170. (in Russian).

• Botvich D.D., Gruntal I., Kucaev A.D., Shmelev G.S. Interactive graphic system for design of complex surfaces. In: Interactive graphic systems and CAD/CAM, Nauka, 1987, P.34-48 (in Russian).

• Botvich D.D. & Shmelev G.S. Integrated CAD/CAM subsystem for construction of complex surfaces. Preprint. Automobile firm “ZIL”. 1985. (in Russian).

• Botvich D.D. The spectral properties of the fermion dynamical systems, PhD Thesis, Faculty of Mathematics and Mechanics, Moscow State University (1984) (in Russian).

• Botvich D.D. & Malyshev V.A. Unitary equivalence of temperature dynamics of ideal and locally perturbed fermi-gas. Commun.Math.Phys. V91,301-312 (1983).

• Botvich D.D. Spectral properties of GNS-Hamiltonian in quasi-free state. Lecture Notes in Mathematics 1983, Vol. 1021, P.65-71.

• Botvich D.D. Modular operator of the spin system in a special basis. In: The Problems of Applied Mathematics, Moscow, Moscow State University, 1982. (in Russian)

Grant Funding: Science Foundation Ireland: Foundations of Autonomic Network Management

• B.Sc. (Honors), Mathematics, Moscow State University, Moscow, Russia, 1980
• Ph.D. in Mathematics, Department of Probability Theory, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, Russia, 1984