List of Publications


Papers published/to appear  in refereed journals:


  1. Chaotic and ergodic properties of cylindric billiards;
  2. Multi-dimensional semi-dispersing billiards:singularities and the fundamental theorem;
  3. Geometry of multi-dimensional dispersing billiards;
  4. Correlation decay in certain soft billiards;
  5. Mixing and its rate in soft and hard billiards motivated by the Lorentz process;
  6. Ergodicity of two hard balls in integrable polygons;
  7. Rotor interaction in the annulus billiard;
  8. Hyperbolicity in multi-dimensional Hamiltonian sytems with applications to soft billiards;
  9. Limit theorems in the stadium billiard;
  10. On the zero mass limit of tagged particle diffusion in the 1-d Rayleigh gas;
  11. Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards;
  12. Exponential decay of correlations in multi-dimensional dispersing billiards;
  13. Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows;
  14. Ergodicity and Energy Distributions for some Boundary Driven Integrable Hamiltonian Chains;

Manuscripts:

  1. Chaos and stability in a two parameter family of convex billiard tables;

Conference proceedings:

  1. Singularities and mixing porperties of certain hyperbolic billiard systems;
  2. Tagged particle diffusion in deterministic dynamics – old and new results;
  3. Singularities and mixing in multi-dimensional dispersing billiards;
  4. An Application of Young's Tower Method: Exponential Decay of Correlations in Multidimensional Dispersing Billiards;

In Hungarian:

  1. Halász Miklós TDK dolgozata;
  2. Halász Miklós diplomamunkája;