Showing math.DSShow all
3 papers · 1 filter
math.DS2025
Asymptotic Homotopical Complexity of an Infinite Sequence of Dispersing Billiards
Nandor Simanyi
We investigate the large scale chaotic, topological structure of the trajectories of an infinite sequence of dispersing, hence ergodic, billiards with the configuration space…
math.DS2022
Conditional Proof of the Ergodic Conjecture for Falling Ball Systems
Nandor Simanyi
In this paper we present a conditional proof of Wojtkowski's Ergodicity Conjecture for the system of 1D perfectly elastic balls falling down in a half line under constant gravitati…
math.DS2007
An Effective Contraction Estimate in the Stable Subspaces of Phase Points in Hard Ball Systems
Nandor Simanyi
In this paper we prove the following result, useful and often needed in the study of the ergodic properties of hard ball systems: In any such system, for any phase point x with a n…