I am a PhD student under the supervision of Prof. Sebastian van Strien and part of the Dynamical Systems group at Imperial College. My PhD research revolves around Dynamical Systems in Game Theory.
Previously, I obtained a pre-diploma (German "Vordiplom") in Mathematics and Computer Science at the University of Dortmund (Germany) and an M.Sc. in Mathematics at the University of Warwick.
My research interests lie in the area of Dynamical Systems; in particular, I am interested in systems occurring as (or related to) learning dynamics in Game Theory. More precisely, I study
- Fictitious Play Dynamics and related learning processes in games (their asymptotic properties, convergence rates, combinatorial description, emergence of chaos)
- the dynamics of piecewise affine maps and flows (combinatorial description, ergodic properties)
Publications and Preprints
- G. Ostrovski, Fixed Point Theorem for Non-Self Maps of Regions in the Plane,
Topology and its Applications, 2013, Vol 160, Issue 7, pp.915-923
- G. Ostrovski and S. van Strien, Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity, Regular and Chaotic Dynamics, 2011, Vol 17, pp.129-154
- G. Ostrovski and S. van Strien, Payoff Performance of Fictitious Play, submitted for publication
- G. Ostrovski, Dynamics of a Continuous Piecewise Affine Map of the Square, submitted for publication
Presentations and organized meetings
In the past couple of years I have given the following talks:
I have organized (together with Julia Slipantschuk) the "One-Day Meeting for PhD Students in Dynamical Systems and Ergodic Theory" (YRM Satellite Meeting), on 26 March 2012, at the University of Warwick.
- 12 March 2013: "A Dynamical System Motivated by Games: Fictitious Play & Piecewise Affine Dynamics",
Dynamical Systems and Statistical Physics Seminar, Queen Mary University of London
- 9 May 2012: "Arnold Diffusion in Fictitious Play", Workshop "From mean-field control to weak KAM dynamics", University of Warwick
- 15 June 2011: "Learning Dynamics in Games", Maths Postgraduate Seminar, Queen Mary University of London
- 18 May 2011: "Learning Dynamics in Games: Fictitious Play", Maths Postgraduate Seminar, University of Warwick
- 15 March 2011: "Fictitious Play Dynamics", Ergodic Theory and Dynamical Systems Seminar, University of Warwick
My further interests include certain topics in Computer Science, in particular Computer Vision and Imaging, Natural Language Processing, and more generally Machine Learning.