Damien Gaboriau


Publications / Travaux



What is cost ?
preprint. To appear in the Notices of the A.M.S.



Relative Property (T) Actions and Trivial Outer Automorphism Groups
preprint



Free products, Orbit Equivalence and Measure Equivalence Rigidity
(with A. Alvarez)
to appear in Groups, Geometry and Dynamics



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.

Dernière modification : 31 mars 2009