36 citations · 77 across the 16 of their papers we have counts for
4 papers · 1 filter
On recurrence and ergodicity for geodesic flows on noncompact periodic polygonal surfaces
Jean-Pierre Conze, Eugene Gutkin
We study the recurrence and ergodicity for the billiard on noncompact polygonal surfaces with a free, cocompact action of or . In the -periodic case, we establish cr…
Central limit theorem for products of toral automorphisms
Jean-Pierre Conze, Stéphane Le Borgne, Mikaël Roger
Let be a sequence of toral automorphisms $τ_n : x \rightarrow A_n x \hbox{mod}\ZZ^d$ with , where is a finite set of matrices in $SL(d, \mathbb…
Cocycles over interval exchange transformations and multivalued Hamiltonian flows
Jean-Pierre Conze, Krzysztof Fraczek
We consider interval exchange transformations of periodic type and construct different classes of recurrent ergodic cocycles of dimension over this special class of IETs.…
Limit law for some modified ergodic sums
Jean-Pierre Conze, Stéphane Le Borgne
An example due to Erdos and Fortet shows that, for a lacunary sequence of integers (q_n) and a trigonometric polynomial f, the asymptotic distribution of normalized sums of f(q_k x…