List of Publications

Papers published in refereed journals:

1. Chaotic and ergodic properties of cylindric billiards;
   
   • Ergodic Theory and Dynamical Sytems, 19 (1999), 1127-1156. (ps, pdf)
2. Multi-dimensional semi-dispersing billiards:singularities and the fundamental theorem;
   
   • joint with Nikolai Chernov, Domokos Szász and Imre Péter Tóth;
   • Annales Henri Poincaré 3 (2002), 451-482. (ps, pdf)
3. Geometry of multi-dimensional dispersing billiards;
   
   • joint with Nikolai Chernov, Domokos Szász and Imre Péter Tóth;
   • Astérisque, 286 (2003) 119-150. (ps, pdf)
4. Correlation decay in certain soft billiards;
   
   • joint with Imre Péter Tóth;
   • Communications in Mathematical Physics, 243 (2003) 55-91. (ps, pdf)
5. Mixing and its rate in soft and hard billiards motivated by the Lorentz process;
   
   • joint with Imre Péter Tóth;
   • Physica D, 187 (2004) 128-135. (ps, pdf)
6. Ergodicity of two hard balls in integrable polygons;
   
   • joint with Serge Troubetzkoy;
   • Nonlinearity, 17 (2004) 2069-2090. (ps, pdf)
7. Rotor interaction in the annulus billiard;
   
   • joint with Serge Troubetzkoy;
   • Journal of Statistical Physics, 117 (2004) 681-702. (ps, pdf)
8. Hyperbolicity in multi-dimensional Hamiltonian sytems with applications to soft billiards;
   
• joint with Imre Péter Tóth;
  
• Discrete and Continuous Dynamical Systems, Series A, 15 (2006) 37-59. (ps, pdf)
9. Limit theorems in the stadium billiard;
   
   • joint with Sébastien Gouëzel;
   • Communications in Mathematical Physics, 263 (2006) 461-512. (ps, pdf)

1. On the zero mass limit of tagged particle diffusion in the 1-d Rayleigh gas;
   
   • joint with Bálint Tóth and Imre Péter Tóth;
     
   • to appear in Journal of Statistical Physics. (ps, pdf)
2. Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards;
   
   • joint with Pavel Bachurin and Imre Péter Tóth;
     
   • to appear in Israel Journal of Mathematics. (ps, pdf)
3. Exponential decay of correlations in multi-dimensional dispersing billiards;
   
   • joint with Imre Péter Tóth;
     
   • manuscript. (ps, pdf)

In Hungarian:

1. Halász Miklós TDK dolgozata;
   
   • (pdf)