Alexander Grigo's Home Page

Research Interests:

Currently I am mostly interested in the interplay of dynamical and probabilistic methods in studying dynamical systems. In particular ergodic theory and statistical properties of deterministic systems, KAM theory, bifurcation theory, singular perturbations, and probabilistic limit theorems for and random perturbations of deterministic dynamical systems, as well as random dynamical systems in general. My research mainly focuses on billiards and applications to statistical mechanics, as well as partial differential equations and pattern formation. There are also occasions where I find numerical simulations extremely helpful to get more insight to a problem. A picture gallery I created while studying a problem related to the Boltzmann equation is available here.

Talks:

1. Pennsylvania State University, March 23, 2009
2. University of Maryland, December 2, 2008 Slides
3. Summer School in Dynamical Systems, Coimbra, Portugal, July 21-25, 2008
4. CDSNS seminar talk, School of Math GaTech, March 30, 2008
5. 2008 Dynamics Days meeting, Jan 3-6, 2008 (Poster presentation)
6. 2007 Fall AMS Southeastern Section Meeting, Murfreesboro, TN, November 3-4 2007 Slides
7. 2007 PennState Workshop in Dynamical Systems and Related Topics, October 18-21 2007 Slides

Publications:

1. L.Bunimovich, A.Grigo, Smooth Stadium-Like Billiards
2. E.Carlen, S-N.Chow, A.Grigo, Dynamics of Hydrodynamic Limits
3. L.Bunimovich, A.Grigo, Focusing Components in Typical Chaotic Billiards Should be Absolutely Focusing
4. G. Röpke, A. Grigo, K. Sumiyoshi, and Hong Shen, Clusters and Condensates in the Nuclear Matter Equation of State, NATO Science Series. Superdense QCD Matter and Compact Stars. 197, 75-91 (2006).
5. G. Röpke, A. Grigo, K. Sumiyoshi, and Hong Shen, The Nuclear Matter Equation of State Including Light Clusters, Physics of Particles and Nuclei Letters 2,5,275 (2005).
6. Existence of Global Attractors for Damped Nonlinear Wave Equations with Critical Growth, Diplom-Mathematik (M.Sc. in Mathematics) Thesis, School of Mathematics, University of Rostock, 2004 (in German), Adviser: Prof. Krzysztof Rybakowski
7. Nuclear Matter Equation of State Including Light Clusters, Diplom-Physik (M.Sc. in Physics) Thesis, School of Physics, University of Rostock, 2003 (in German), Adviser: Prof. Gerd Röpke

Links:

Pictures: