9 citations · 36 across the 16 of their papers we have counts for
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math.DS2016★ 1 cited
Equidistribution in S-arithmetic and adelic spaces
Antonin Guilloux
We give an introduction to adelic mixing and its applications for mathematicians knowing about the mixing of the geodesic flow on hyperbolic surfaces. We focus on the example of th…
math.DS2009
Polynomial dynamic and lattice orbits in S-arithmetic homogeneous spaces
Antonin Guilloux
Consider an homogeneous space under a locally compact group G and a lattice in G. Then the lattice naturally acts on the homogeneous space. Looking at a dense orbit, one may wonder…
math.DS2009★ 6 cited
A brief remark on orbits of in the euclidean plane
Antonin Guilloux
The repartition of dense orbits of $\textrm{SL}(2,\dr Z)$ in the euclidean plane is described by Ledrappier and Nogueira. We describe here the specific patterns one can see by expe…