20 citations · 39 across the 3 of their papers we have counts for
7 papers
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…
Localization in infinite billiards: a comparison between quantum and classical ergodicity
Sandro Graffi, Marco Lenci
Consider the non-compact billiard in the first quandrant bounded by the positive -semiaxis, the positive -semiaxis and the graph of , . Althoug…
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…
More ergodic billiards with an infinite cusp
Marco Lenci
In a previous paper (nlin.CD/0107041) the following class of billiards was studied: For convex, sufficiently smooth, and vanishing at…
Semi-dispersing billiards with an infinite cusp
Marco Lenci
Let be a sufficiently smooth convex function, vanishing at infinity. Consider the planar domain delimited by the positive -semiaxis, the p…
Large deviations for ideal quantum systems
Joel L. Lebowitz, Marco Lenci, Herbert Spohn
We consider a general d-dimensional quantum system of non-interacting particles, with suitable statistics, in a very large (formally infinite) container. We prove that, in equilibr…