Leonid Bunimovich
Regents' Professor of Mathematics
Georgia Institute of Technology


  1. "One-Dimensional Dynamical Systems and Benford's Law," (with A. Berger, T. Hill), Trans. of AMS 356 (2004).
  2. "Method of Stabilization of a Target Regime in Manufacturing and Logistics," in Nonlinear Dynamics of Production Systems (ed. by G. Radons, R. Neugebauer), Wiley, Weinheim (2004) 25-38.
  3. "Deterministic Walks in Random Environments," Physica D 187 (2004) 20-29.
  4. "Complexity of Dynamics as Variability of Predictability," (with R. Stoop, N. Stoop), J. Stat. Phys. 114 (2004) 1127-1137.
  5. "Walks in Rigid Environments: Symmetry and Dynamics," Asterisque 286 (2004) 231-248.
  6. ""Sistemi Dinamici" (with V. Afraimovich, J. Hale), Encycl. dell Scienza, vol. IX, La Grande Scienza (2003) 841-850.
  7. "Lorentz Gas Cellular Automata on Graphs," (with D. Kreslavsky), Theor-l Computer Sci. 306 (2003) 195-221.
  8. "One-Dimensional Lorentz Gas with Rotating Scatterers: Exact Solutions," (with M. Khlabystova), J. Stat. Phys. 112 (2003) 1207-1219.
  9. "Kinematics, Equilibrium and Shape in Hamiltonian Systems: The "LAB" Effect," Chaos 13 (2003) 903-912.
  10. "Multicomponent Dynamical Systems: SRB Measures and Phase Transitions," (with M. Blank) Nonlinearity 16 (2003) 387-401.
  11. "Absolute Focusing and Ergodicity of Billiards," Regular & Chaotic Dynamics 8 (2003) 15-28.
  12. "Walks in Rigid Environments: Continuous Limits," (with M. Khlabystova), J. Stat. Phys. 108 (2002) 905-925.
  13. "Lorentz Lattice Gases and Many-Dimensional Turing Machines," (with M. Khalbystova), in: Collision-Based Computing (ed. by. A. A. Adamatzky), Springer, London (2002) 443-467.
  14. "Some Estimates for 2-Dimensional Infinite and Bounded Dilute Random Lorentz Gases," (with C. Boldrighini, A. Pellegrinotti), J. Stat. Phys. 109 (2002) 729-746.
  15. "Mushrooms and Other Billiards with Divided Phase Space," Chaos 11 (2001) 1-7.
  16. "Motion of Particles in Random Median and Many-Dimensional Turing Machine," Multiple-Valued Logic 6 (2001) 463-482.
  17. "Localization and Propagation in Random Lattices," (with M. Khlabystova), J. Stat. Phys. 104 (2001) 1155-1171.
  18. "Lattice Dynamical Systems," in From Finite to Infinite Dimensional Dynamical Systems (ed. by J. C. Robinson, P. A. Glendinning), Kluwer, London (2001) 59-83.
  19. "Dynamical Systems and Operations Research: A Basic Model," Discr. & Cont's Dynamical Systems 1 (2001) 209-218.
  20. "Ising-Type and Other Transitions in One-Dimensional Coupled Map Lattices with Sign Symmetry," (with C. Boldrighini, G. Cosimi, S. Frigio, A. Pellegrinotti), J. Stat. Phys. 102 (2001) 1271-1284.
  21. "Dispersing, Defocusing and Astigmatism," Math. Education 5 (2001) 106-124 (in Russian).
  22. "Existence of Transport Coefficients," in: Lorentz and Hard Spheres Gas, Springer-Verlag, Berlin (2001) 145-178.
  23. "Generic Origins of Irregular Spiking in Neocortical Networks," (with R. Stoop and W.-H. Steeb), Biol. Cybern. 83 (2001) 481-489.
  24. "Noise-Driven Neocortical Interaction: A Simple Generation Mechanism for Complex Neuron Spiking," (with R. Stoop and K. Schnider), Acta Biotheoretica, 48 (2000).
  25. "Neocortical Networks of Pyramidal Neurons," (with R. Stoop and K. Schnider), Nonlinearity, 13 (2000).
  26. "Walks in Rigid Environments," Physica A, 279, (2000).
  27. "Billiards and Other Hyperbolic Systems," Dynamical Systems, Ergodic Theory and Applications, 100, Springer (2000).
  28. "When Pyramidal Neurons Lock, When They Respond Chaotically, and When They Like to Synchronize," (with R. Stoop and K. Schnider), Neuroscience Res., 36 (2000).
  29. "Self-Organization and Propagation in Random Media," (with P. Grosfils, J.P. Boon and E.G.D. Cohen), J. Stat. Phys., 97 (1999).
  30. "Controlling Production Lines," in "Handbook of Chaos Control" (ed. by H. Schuster), Wiley - VCH (1999).
  31. "Dynamics of Two and Three-Worker Production Lines," (with J. Bartholdi and D. Eisenstein), Operations Research, 47 (1999).
  32. "Inhibitory Connections Enhance Pattern Recurrence in Networks of Neocortical Pyramidal Cells," (with R. Stoop and K. Schindler), Neuroscience Res., 36 (1999).
  33. "Space-time Chaos in Spatially Continuous Systems," Physica D 131 (1999).
  34. "How High-Dimensional Stadia Look Like," (with J. Rehacek), Commun. Math. Phys., 197 (1998).
  35. "On the Ergodicity of High-dimensional Focusing Billiards," (with J. Rehacek), Am. Inst. H. Poincare, 68 (1998).
  36. "Localized Solutions in Lattice Systems and Bifurcations Caused by Spatial Interactions," (with D. Turaev), Nonlinearity 11 (1998).
  37. "Nowhere Dispersing 3D Billiards with Nonvanishing Lyapunov Exponents," (with J. Rehacek), Commun. Math. Phys., 189 (1997).
  38. "On Localization of Vorticity in Lorentz Gases," J. Stat. Phys., 87 (1997).
  39. "Non-equilibrium Statistical Mechanics and Ergodic Theory," in "Nonlinear Dynamics, Chaotic and Complex Systems," (ed. by E. Infield et al), Cambridge Univ. Press (1997).
  40. "On Stability of Structure and Patterns in Extended Systems," (with V. Franceschini, C. Gilbert and C. Vernia), Physica D 103 (1997).
  41. "Dynamics of Spatial Averages," (with M. Jiang), Chaos, 7 (1997).
  42. "Coupled Map Lattices: Some Topological and Ergodic Properties," Physica D 103 (1997).
  43. "On New Mechanism of Transition to Chaos in Lattice Dynamical Systems," (with S. Venkatagiri), Physics Reports, 290 (1997).
  44. "Stable Chaotic Waves Generated by Hyperbolic PDEs," (with A. Babin), Nonlinearity, 9 (1996).
  45. "Many-Dimensional Lorentz Cellular Automata and Turing Machines," Int. J. Bifurcation & Chaos, 6 (1996).
  46. "Chaotic Focusing Billiards in Higher Dimensions" (with G. Casati, I. Guarneri), Phys. Rev. Let., 77 (1996).
  47. "Onset of Chaos in Coupled Map Lattices via the peak-crossing Bifurcation," (with S. Venkatagiri), Nonlinearity, 9 (1996).
  48. "Viscosity for a Periodic Two Disk Fluid: An Existence Proof" (with H. Spohn), Commun. Math. Physics, 176 (1996).