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Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's "Horizon" Conjectures. (submitted, with P. N\'andori and T. Varj\'u) arXiv:1210.2231
Ya. G. Sinai: Selecta, Volumes I and II, Book Review, J. Stat. Physics, {\bf 146}, 1303-1305, 2012
Lorentz Process with shrinking holes in a wall, Chaos, {\bf 22}, 026115:1-10, 2012 (with P. N\'andori) (pdf) arXiv:1111.6193
A central limit theorem for time-dependent dynamical systems, J. Stat. Physics, {\bf 146} 1213-1220, 2012 (with P. N\'andori and T. Varj\'u) (pdf) arXiv:1111.0027
Mixing rates of particle systems with energy exchange. Nonlinearity, Nonlinearity, {\bf 25} 2349-2376, 2012, (with Alexander Grigo and Konstantin Khanin)
(pdf) arXiv:1109.2356
Weak convergence of random walks, conditioned to stay away. (submitted, with Zs. Pajor-Gyulai) (pdf) arXiv:1009.0700
Energy transfer and joint diffusion, J. Statist. Phys. (to appear, with Zs. Pajor-Gyulai) (pdf) arXiv:1008.0940
Perturbation approach to scaled type Markov renewal processes with infinite mean. (submitted, with Zs. Pajor-Gyulai)( pdf) arXiv:1004.5565
Locally Perturbed Random Walks with Unbounded Jumps. J. Stat. Physics, 141,
1116-1130, 2010,
( with D. Paulin) (pdf) arXiv:1009.3223
Billiard Models and Energy Transfer. Proc. of International Congress on Math. Physics held in Prague, 2009, pp. 6. World Scientific. (invited paper, with Zs. Pajor-Gyulai and I. P. T\'oth) (pdf)
Some challenges in the theory of (semi)-dispersing billiards. Nonlinearity, invited paper, 21:187-193 2008 (pdf)
John von Neumann, the Mathematician, pp. 19, Mathematical Intelligencer, 33, Issue 2 (2011), 42-51 (pdf | ps)
Limit Theorems for Perturbed Lorentz Processes. Duke Mathematical Journal.
148, 459-499, 2009, with D. Dolgopyat and T. Varjú (pdf | ps).
Algebro-Geometric Methods for Hard Ball Systems. Discrete and Continuous Dyn. Systems, Ser. A. 22(2008), 427-443) (pdf | ps)
Recurrence Properties of Planar Lorentz Process, Duke Mat. Journal. 142: 241-281, 2008
(with D. Dolgopyat and T. Varjú). (pdf | ps)
Limit Laws and Recurrence for the Planar Lorentz Process with Infinite Horizon, J. Statist. Phys. 129:59-80, 2007 (with T. Varjú) (pdf | ps)
Local Limit Theorem and Recurrence for the Planar Lorentz Process, Ergodic Theory and Dynamical Systems, 24 (2004), 257-278 ( with T. Varjú) (pdf | ps) arXiv:math/0309359
Ulam's Scheme Revisited: Digital Modeling of Chaotic
Attractors via Micro-Perturbations. Discrete and Continuous Dyn.
Systems, Ser. A. 9 (2003), 859-876 ( with G. Domokos) (pdf | ps)
Multi-dimensional Semi-Dispersing Billiards: Singularities
and the Fundamental Theorem, Annales Henri Poincaré, 3 (2002), 451-482
(with P. Bálint, N. Chernov, I. P. Tóth) (pdf | ps)
The Geometry of Multidimensional Dispersing Billiards,
Astérisque, 286 (2003), 119-150 (with P. Bálint, N. Chernov and I. P.
Tóth) (pdf | ps)
Hard Ball Systems and the Lorentz Gas, Springer Verlag,
Encyclopaedia of Mathematical Sciences, vol. 101, 2000, pp. 458
(Editor) (website)
Ball-Avoiding Theorems, Ergodic Theory and Dynamical
Systems (invited survey paper) 20 (2000), 1821-1849 (pdf | ps)
Non-Integrability of Cylindric Billiards and Transitive
Lie-group Actions, Ergodic Theory and Dynamical Systems, 20 (2000),
593-610 (with N. Simányi) (pdf | ps)
Hard Ball Systems are Completely Hyperbolic, Annals of
Mathematics 149 (1999), 35-96 (with N. Simányi) (pdf | ps) |
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Lorentz Process with shrinking holes in a wall, Chaos, {\bf 22}, 026115:1-10, 2012 (with P. N\'andori) (pdf) arXiv:1111.6193
A central limit theorem for time-dependent dynamical systems, J. Stat. Physics, {\bf 146} 1213-1220, 2012 (with P. N\'andori and T. Varj\'u) (pdf) arXiv:1111.0027
Mixing rates of particle systems with energy exchange. Nonlinearity, (to appear in July, 2012, with Alexander Grigo and Konstantin Khanin)
(pdf) arXiv:1109.2356
Weak convergence of random walks, conditioned to stay away. (submitted, with Zs. Pajor-Gyulai) (pdf) arXiv:1009.0700
Energy transfer and joint diffusion, J. Statist. Phys. (to appear, with Zs. Pajor-Gyulai) (pdf) arXiv:1008.0940
Perturbation approach to scaled type Markov renewal processes with infinite mean. (submitted, with Zs. Pajor-Gyulai)( pdf) arXiv:1004.5565
Locally Perturbed Random Walks with Unbounded Jumps. J. Stat. Physics, 141,
1116-1130, 2010,
( with D. Paulin) (pdf) arXiv:1009.3223
Billiard Models and Energy Transfer. Proc. of International Congress on Math. Physics held in Prague, 2009, pp. 6. World Scientific. (invited paper, with Zs. Pajor-Gyulai and I. P. T\'oth) (pdf)
Some challenges in the theory of (semi)-dispersing billiards. Nonlinearity, invited paper, 21:187-193 2008 (pdf)
John von Neumann, the Mathematician, pp. 19, Mathematical Intelligencer, 33, Issue 2 (2011), 42-51 (pdf | ps)
Limit Theorems for Perturbed Lorentz Processes. Duke Mathematical Journal.
148, 459-499, 2009, with D. Dolgopyat and T. Varjú (pdf | ps).
Algebro-Geometric Methods for Hard Ball Systems. Discrete and Continuous Dyn. Systems, Ser. A. 22(2008), 427-443) (pdf | ps)
Recurrence Properties of Planar Lorentz Process, Duke Mat. Journal. 142: 241-281, 2008
(with D. Dolgopyat and T. Varjú). (pdf | ps)
Limit Laws and Recurrence for the Planar Lorentz Process with Infinite Horizon, J. Statist. Phys. 129:59-80, 2007 (with T. Varjú) (pdf | ps)
Local Limit Theorem and Recurrence for the Planar Lorentz Process, Ergodic Theory and Dynamical Systems, 24 (2004), 257-278 ( with T. Varjú) (pdf | ps) arXiv:math/0309359
Ulam's Scheme Revisited: Digital Modeling of Chaotic
Attractors via Micro-Perturbations. Discrete and Continuous Dyn.
Systems, Ser. A. 9 (2003), 859-876 ( with G. Domokos) (pdf | ps)
Multi-dimensional Semi-Dispersing Billiards: Singularities
and the Fundamental Theorem, Annales Henri Poincaré, 3 (2002), 451-482
(with P. Bálint, N. Chernov, I. P. Tóth) (pdf
| ps)
The Geometry of Multidimensional Dispersing Billiards,
Astérisque, 286 (2003), 119-150 (with P. Bálint, N. Chernov and I. P.
Tóth) (pdf | ps)
Hard Ball Systems and the Lorentz Gas, Springer Verlag,
Encyclopaedia of Mathematical Sciences, vol. 101, 2000, pp. 458
(Editor) (website)
Ball-Avoiding Theorems, Ergodic Theory and Dynamical
Systems (invited survey paper) 20 (2000), 1821-1849 (pdf | ps)
Non-Integrability of Cylindric Billiards and Transitive
Lie-group Actions, Ergodic Theory and Dynamical Systems, 20 (2000),
593-610 (with N. Simányi) (pdf | ps)
Hard Ball Systems are Completely Hyperbolic, Annals of
Mathematics 149 (1999), 35-96 (with N. Simányi) (pdf |
ps)
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