Prof. Gerardo Rubino
Prof. Gerardo Rubino
INRIA (the French National Institute for Research in Computer Science and Control Theory), France
Title: On the derivation of closed-form expressions of the solutions to (possibly infinite) linear systems of ODEs
Formal (symbolic) solutions to systems of linear ordinary differential equations are rarely available. This is, for instance, the case when we consider the systems satisfied by the transient solutions to Markovian models, in probability theory. In this talk, we will present a new couple of ideas that allows to obtain explicit closed-form expressions of the solution of some simple systems of linear ordinary differential equations, in particular, when the number of equations and variables are infinite. This has, for instance, applications in the analysis of some fundamental stochastic models. We will provide solme examples of these types of models, coming from Queueing Theory.
Gerardo Rubino is a Senior Researcher at INRIA (the French National Institute for Research in Computer Science and Control Theory) where he is the leader of the DIONYSOS group, working on the analysis and design of networking technologies. He is a Board Member of the Media & Networks Cluster, Brittany, France, and was INRIA’s representative at the SISCom Brittany Research Cluster. Among other past responsibilities, he has been Scientific Delegate for the Rennes unit of INRIA for 5 years, responsible of research in networking at the Telecom Bretagne engineering school for 5 years, Associate Editor of the Operations Research international journal “Naval Research Logistics” for 9 years, former member of the Steering Board of the European Network of Excellence EuroFGI and responsible of the relationships between the network and European industry. He has also been the head of the International Partnership Office at INRIA Rennes for 5 years. He is a member of the IFIP WG 7.3. He served at the Steering Committee of QEST ( for many years. He belongs to the Scientific Committee of the IFCAM, managing the scientific cooperation in mathematics between India and France. He is interested in quantitative analysis of complex systems using probabilistic models. He recently published a book entitled "Markov Chains and Dependability Theory", Cambridge University Press, 2014, written with B. Sericola. He presently works on performance and dependability analysis, and on perceptual quality assessment of audio and video applications and services. He also works on rare event analysis, he is a member of the Steering Committee of RESIM, the only workshop dedicated to the topic, and co-author of the book entitled “Rare Event Simulation Using Monte Carlo Methods” (Wiley, 2009). He is the author of more than 200 scientific works in applied mathematics and computer science.