20 citations · 39 across the 3 of their papers we have counts for
Showing math.DSShow all
2 papers · 1 filter
math.DS2004★ 20 cited
Typicality of recurrence for Lorentz gases
Marco Lenci
It is a safe conjecture that most (not necessarily periodic) two-dimensional Lorentz gases with finite horizon are recurrent. Here we formalize this conjecture by means of a stocha…
math.DS2002★ 17 cited
Aperiodic Lorentz gas: recurrence and ergodicity
Marco Lenci
We prove that any generic (i.e., possibly aperiodic) Lorenz gas in two dimensions, with finite horizon and non-degenerate geometrical features, is ergodic if it is recurrent. We al…