Damien Gaboriau


Publications


On the space of subgroups of Baumslag-Solitar groups I: perfect kernel and phenotype (pdf)
(with A. Carderi, F. le Maître
and Yves Stalder)

On the homology growth and the 2-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
) To appear in Geometry & Topology.

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,2-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 : 2022/10/26