Damien Gaboriau
Publications
On
the space of subgroups of Baumslag-Solitar groups II: High
transitivity (pdf)
(with François le
Maître and Yves Stalder).
Perfect
kernel and dynamics: from Bass-Serre theory to hyperbolic
groups (pdf)
(with Pénélope Azuelos)
To appear in Mathematische
Annalen.
On
the space of subgroups of Baumslag-Solitar groups I: perfect
kernel and phenotype (pdf)
(with Alessandro Carderi, François le Maître and Yves
Stalder).
On
the homology growth and the ℓ2
-Betti numbers of Out(Wn) (pdf)
(with Yassine Guerch, Camille
Horbez)
To appear in Annales de
l'Institut Fourier.
On homology torsion
growth (pdf)
(with M. Abert,
N.
Bergeron, M.
Fraczyk)
To appear in Journal of the
European Mathematical Society.
One-ended spanning
subforests and treeability of groups (pdf)
(with C. T.
Conley, A. S. Marks,
R. D. Tucker-Drob).
On
dense totipotent free subgroups in full groups (pdf)
(with A. Carderi and F. le Maître)
Geometry & Topology
27 (2023) 2297–2318.
On the top-dimensional ℓ^2
-Betti numbers (pdf)
(with C.
Noûs)
Annales
de la Faculté des Sciences de Toulouse
Serie 6, Volume 30 (2021) no. 5, pp. 1121-1137.
Non-standard
limits of graphs and some orbit equivalence invariants
(pdf)
(with A. Carderi and M. de la Salle)
Annales
Henri
Lebesgue, Volume 4 (2021), pp.
1235-1293.
Around the orbit equivalence
theory of the free group, cost and ℓ2-Betti
numbers (pdf)
Preparatory and personal notes for various courses and
lectures on Ergodic Theory, measured groups theory at
several places. Regular additions. Document in rough draft
form.
Cocycle superrigidity for
translation actions of product groups (pdf)
(with A.
Ioana and R. Tucker-Drob)
American Journal of Mathematics, 141 (2019),
1347-1374.
Cost, ℓ2-Betti
numbers and the sofic entropy of some algebraic
actions (pdf)
(with B. Seward)
Journal d'Analyse Mathématique, 139 (2019),
1-65.
Entropie sofique, d'après Lewis
Bowen, David Kerr et Hanfeng Li (pdf)
(séminaire Bourbaki, 16 janvier 2016)
Astérisque, 390 (2017), Exp. No. 1108,
101-138. Séminaire Bourbaki. Vol. 2015/2016. Exposés
1104-1119.
Approximations
of
standard equivalence relations and Bernoulli
percolation at p_u (pdf)
(with R. Tucker-Drob)
C. R. Acad. Sci. Paris Sér. I Math., 354
(2016), no. 11, 1114-1118.
Free
products, Orbit Equivalence and Measure Equivalence
Rigidity
(with A. Alvarez)
Groups, Geometry and Dynamics, 6 (2012)
53-82.
Relative
Property (T) Actions and Trivial Outer Automorphism
Groups
Journal of Functional Analysis, 260 (2011), no. 2, 414-427.
Orbit Equivalence and
Measured Group Theory
Proceedings of the
ICM (Hyderabad, India, 2010), Vol. III, Hindustan Book
Agency (2010), 1501-1527.
WHAT IS...
Cost ?
Notices of the AMS, Nov. 2010, Vol. 57(10).
A
Measurable-Group-Theoretic Solution to von Neumann's
Problem
(with R. Lyons)
Inventiones Mathematicae, 177 (2009), 533-540.
Examples of groups that are
measure equivalent to the free group
Ergodic Theory & Dynam. Systems, 25 (2005), no. 6,
1809-1827.
Invariant
Percolation and Harmonic Dirichlet Functions
Geom. Funct. Anal., 15 (2005),
no. 5, 1004-1051.
An Uncountable
Family of non Orbit Equivalent Actions of F_n
(with S.
Popa)
J. Amer. Math. Soc., 18 (2005),
547-559.
Asymptotique des
nombres de Betti, invariants ℓ2 et
laminations
(avec N. Bergeron)
Comment. Math. Helv., 79 (2004), no. 2,
362-395.
Mémoire
d'habilitation "Arbres, groupes, quotients"
Rencontres
Mathématiques "Nombres de Betti L2"
(programme, transparents, textes)
Invariants
L2 de relations d'équivalence et de
groupes
Publ. math. Inst. Hautes Études Sci., 95
(2002), no. 1, 93-150.
On Orbit
Equivalence of Measure Preserving Actions
Rigidity in dynamics and geometry (Cambridge, 2000), pp.
167-186, Springer, Berlin, 2002.
Sur la
(co)-homologie L2 des actions préservant
une mesure
C. R. Acad. Sci. Paris Sér. I Math., 330 (2000),
no. 5, 365-370.
Coût des relations
d'équivalence et des groupes
Invent. Math., 139 (2000), no. 1, 41-98.
Mercuriale de
groupes et de relations
C. R. Acad. Sci. Paris Sér. I Math., 326 (1998),
no. 2, 219-222.
Sur les immeubles
hyperboliques
(avec F. Paulin)
Geom. Dedicata, 88 (2001), 153-197.
An index for counting
fixed points of automorphisms of free groups
(with A. Jägger, G. Levitt and M. Lustig)
Duke Math. J., 93 (1998), no. 3, 425-452.
A dendrological proof of
the Scott conjecture for automorphisms of free
groups
(with G. Levitt and M. Lustig) Proc. Edinburgh
Math. Soc., 41 (1998), no. 2, 325-332.
Générateurs
indépendants pour les systèmes d'isométries de
dimension un
Ann. Inst. Fourier (Grenoble), 47 (1997), no. 1,
101-122.
Dynamique des
systèmes d'isométries : sur les bouts des orbites
Invent. Math., 126 (1996), no. 2, 297-318.
The rank of actions on
R-trees
(with G. Levitt) Ann. Sci. École
Norm.
Sup., 28 (1995), no. 5, 549-570.
Pseudogroups of
isometries of R: reconstruction of free actions on
R-trees
(with G. Levitt and F. Paulin) Ergodic
Theory
& Dynam. Systems, 15 (1995), no. 4, 633-652.
Pseudogroups of
isometries of R and Rips' theorem on free actions on
R-trees
(with G. Levitt and F. Paulin)
Israel J. Math., 87 (1994), 403-428.