Damien Gaboriau
Publications
Perfect kernel and dynamics: from
Bass-Serre theory to hyperbolic groups (pdf)
(with Pénélope
Azuelos)
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)
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.
Last
modification : 2023/10/30