1 citations · 2 across the 4 of their papers we have counts for
5 papers
Algebraic growth of the Cremona group
Alberto Calabri, Serge Cantat, Alex Massarenti +2
We initiate the study of the ''algebraic growth'' of groups of automorphisms and birational transformations of algebraic varieties. Our main result concerns $\text{Bir}(\mathbb{P}^…
Entropy and drift in word hyperbolic groups
Sébastien Gouëzel, Frédéric Mathéus, François Maucourant
The fundamental inequality of Guivarc'h relates the entropy and the drift of random walks on groups. It is strict if and only if the random walk does not behave like the uniform me…
Lattice actions on the plane revisited
Francois Maucourant, Barak Weiss
We study the action of a lattice in the group SL(2,R) on the plane. We obtain a formula which simultaneously describes visits of an orbit to either a fixed ball, or an expanding or…
Manin's and Peyre's conjectures on rational points and adelic mixing
Alex Gorodnik, Francois Maucourant, Hee Oh
Let X be the wonderful compactification of a connected adjoint semisimple group G defined over a number field K. We prove Manin's conjecture on the asymptotic (as T\to \infty) of t…
Proximality and equidistribution on the Furstenberg boundary
A. Gorodnik, F. Maucourant
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minimal parabolic subgroup of G, and Γa lattice in G. We prove that every Γ-orbits in…