Alexander Grigo's Home Page

Current Teaching:

Research Interests:

My general research interests are deterministic and random dynamical systems, probability theory, and their applications to problems of statistical mechanics; In particular, regular and statistical aspects of smooth dynamical systems with and without singularities, probabilistic limit theorems for dynamical systems, invariant manifold theory, geometric singular perturbation theory, scaling limits of interacting particle systems, and kinetic theory.

Publications and Preprints:

1. (with C.Rojas and M.Braverman) Noise vs computational intractability in dynamics (accepted at ITCS 2012), 28 pages
2. (with K.Khanin and D.Szasz) Mixing Rates of Particles Systems with Energy Exchange (arXiv:1109.2356v1 [math-ph], submitted), 26 pages
3. (with L.Bunimovich) Elliptic Periodic Orbits in Smooth Stadium--Like Billiards (submitted), 50 pages
4. (with E.Carlen and S-N.Chow) Dynamics and Hydrodynamic Limits of the Inelastic Boltzmann Equation Nonlinearity 23, 1807-1849 (2010), 43 pages
5. (with L.Bunimovich) Focusing Components in Typical Chaotic Billiards Should be Absolutely Focusing Comm. Math. Phys. 293, 127-143 (2010), 17 pages
6. Billiards and Statistical Mechanics. Ph.D. thesis in Mathematics, School of Mathematics, GeorgiaTech, Atlanta, USA (2009), Adviser Prof.Leonid Bunimovich
7. (with G.Röpke, K.Sumiyoshi, and H.Shen) Clusters and Condensates in the Nuclear Matter Equation of State NATO Science Series. Superdense QCD Matter and Compact Stars 197, 75-91 (2005), 16 pages
8. (with G.Röpke, K.Sumiyoshi, and H.Shen) The Nuclear Matter Equation of State Including Light Clusters Physics of Particles and Nuclei Letters 2,5,275 25-36 (2005), 12 pages
9. 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
10. 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

Talks:

1. Oct 2011 Mathematics -- stranger than fiction? A talk on the Banach-Tarski paradox for undergraduates and general public, University of Toronto, Canada
2. Jul 2011 Probabilistic Methods in Kinetic Theory, CIRM, Luminy, France
3. Apr 2011 Workshop on the Fourier Law and Related Topics, Fields Institute, Canada
4. Mar 2011 Postdoctoral Seminar, Fields Institute, Canada
5. Jan 2011 Chaotic and Transport Properties in Higher Dimensional Dynamical Systems, CIC, UAEM-UNAM, Cuernavaca, Mexico
6. Nov 2010 Dynamical Systems Seminar, University of Toronto, Canada
7. Jun 2010 Probability Seminar, Budapest University of Technology, Hungary
8. Jun 2010 Dynamical Systems Seminar, Budapest University of Technology, Hungary
9. Nov 2009 Postdoctoral Seminar, Fields Institute, Canada
10. Sep 2009 Dynamical Systems Seminar, University of Toronto, Canada
11. Mar 2009 Pennsylvania State University, PA
12. Dec 2008 University of Maryland, MD
13. Jul 2008 Summer School in Dynamical Systems, Coimbra, Portugal
14. Mar 2008 CDSNS seminar talk, School of Mathematica, GeorgiaTech, GA
15. Jan 2008 Dynamics Days meeting (Poster presentation), Knoxville, TN
16. Nov 2007 Fall AMS Southeastern Section Meeting, Murfreesboro, TN
17. Oct 2007 PennState Workshop in Dynamical Systems and Related Topics, PN

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