31 citations · 81 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…