2017/01/17 by Málaga, Alba, Troubetzkoy, Serge
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1701.04585
The set of all possible configurations of the Ehrenfest wind-tree model endowed with the Hausdorff topology is a compact metric space. For a typical configuration we show that the wind-tree dynamics has infinite ergodic index in almost every direction. In particular some ergodic theorems can be applied to show that if we start with a large number of initially parallel particles their directions decorrelate as the dynamics evolve answering the question posed by the Ehrenfests.