31 citations · 81 across the 9 of their papers we have counts for
9 papers
What mathematical billiards teach us about statistical physics?
Péter Bálint, Thomas Gilbert, Domokos Szász +1
We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically ri…
Markov approximations and statistical properties of billiards
D. Szász
Markov partitions designed by Sinai(1968) and Bowen(1970) proved to be an efficient tool for descibing statistical properties of uniformly hyperbolic systems. For hyperbolic system…
Multidimensional hyperbolic billiards
Domokos Szász
The theory of planar hyperbolic billiards is already quite well developed by having also achieved spectacular successes. In addition there also exists an excellent monograph by Che…
Mixing rates of particle systems with energy exchange
Alexander Grigo, Konstantin Khanin, Domokos Szasz
A fundamental problem of non-equilibrium statistical mechanics is the derivation of macroscopic transport equations in the hydrodynamic limit. The rigorous study of such limits req…
Weak convergence of random walks conditioned to stay away
Zsolt Pajor-Gyulai, Domokos Szász
Let be a sequence of i.i.d. random variables in . Let and be the continuous process on for which $Y_n(k/…
Energy Transfer and Joint Diffusion
Zsolt Pajor-Gyulai, Domokos Szász
A paradigm model is suggested for describing the diffusive limit of trajectories of two Lorentz disks moving in a finite horizon periodic configuration of smooth, strictly convex s…
Perturbation approach to scaled type Markov renewal processes with infinite mean
Zsolt Pajor-Gyulai, Domokos Szász
Scaled type Markov renewal processes generalize classical renewal processes: renewal times come from a one parameter family of probability laws and the sequence of the parameters i…
Local Limit Theorem for the Lorentz Process and Its Recurrence in the Plane
Domokos Szász, Tamás Varjú
For Young systems, i.e. for hyperbolic systems without/with singularities satisfying Lai-Sang Young's axioms (which imply exponential decay of correlation and the CLT) a local CLT…
Hard ball systems are completely hyperbolic
Nandor Simányi, Domokos Szász
We consider the system of N (\ge 2) elastically colliding hard balls with masses m_1,..., m_N, radius r, moving uniformly in the flat torus T_L^ν= R^ν/L \cdot Z^ν, ν\ge 2. It is pr…