-
Homomorphisms to R constructed from random walks (pdf)
(with A. Erschler) Preprint.
-
Noncommutative ergodic theorems (pdf)
(with F. Ledrappier) To appear in the Bob Zimmer Festschrift (eds. Farb and Fisher).
-
Zeta functions, heat kernels and spectral invariants under
degeneration of discrete tori (pdf)
(with G. Chinta and J. Jorgenson) To appear in Nagoya Math. J.
-
Strong law of large numbers with concave moments (pdf)
(with N. Monod) Not for publication.
-
Ergodic theorems for noncommuting random products (pdf)
Lecture notes from Santiago and Wroclaw.
-
Applications of heat kernels on abelian groups:
ζ(2n), quadratic reciprocity, Bessel integrals
(pdf)
To appear in The Serge Lang Memorial Volume, Springer Verlag
-
Superrigidity, generalized harmonic maps, and
uniformly convex spaces
(pdf)
(with T. Gelander and G.A. Margulis)
GAFA. 17 (2008) 1524-1550
-
Propriété de Liouville et vitesse de fuite du mouvement Brownien
(preprint,
scidirect)
(with F. Ledrappier)
C. R. Acad. Sci. Paris, Ser. I 344 (2007) 685-690
-
Linear drift and Poisson boundary for random walks
(pdf, PAMQ)
(with F. Ledrappier)
Pure Appl. Math. Q. 3 (2007) 1027-1036
-
The Poisson boundary of Lamplighter random walks
on trees
(pdf,
LINK)
(with W. Woess)
Geom. Dedicata, 124 (2007) 95-107
-
Volumes of ideal simplices in Hilbert's geometry
and symmetric spaces
(pdf)
(with M. Bucher-Karlsson)
In: Guido's Book of Conjectures, I. Chatterji (ed.)
l'Enseign. Math. (2008) pp. 53-55
-
Heat kernels, theta identities, and zeta functions on
cyclic groups
(pdf)
(with M. Neuhauser)
In: Topological and Asymptotic Aspects of Group Theory,
R. Grigorchuk, M. Mihalik, M. Sapir, Z. Sunik (eds.),
Contemporary Mathematics, 394 (2006) pp. 177-189
-
Laws of large numbers for random walks
(pdf, aop)
(with F. Ledrappier)
Annals of Probability, 34 (2006) 1693-1706.
-
Horoballs in simplices and Minkowski spaces
(pdf,
reprint)
(with V. Metz and G. Noskov)
Int. J. Math. Math. Sci. (2006) 20 pp.
-
On the dynamics of isometries
(pdf)
Geometry & Topology, 9 (2005) 2359-2394.
-
Hilbert metrics and Minkowski norms
(pdf)
(with T. Foertsch)
Journal of Geometry, 83 (2005) 22-31.
-
The Bass conjecture and growth in groups
(pdf)
(with M. Neuhauser)
Colloq. Math. 100 (2004) 23-27.
-
Some remarks concerning harmonic functions on homogeneous graphs
(pdf)
In: Discrete Random Walks, Cyril Banderier and Christian Krattenthaler (eds.),
Discrete Mathematics and Theoretical Computer Science Proceedings AC, (2003) pp. 137-144
-
Some groups having only elementary actions on metric spaces
with hyperbolic boundaries
(pdf)
(with G. Noskov)
Geom. Dedicata, 104 (2004) 119-137.
-
Free subgroups of groups with nontrivial Floyd boundary
(pdf)
Comm. Algebra, 31 (2003) 5361-5376.
-
On the definition of bolic spaces
(pdf)
(with M. Bucher)
Expo. Math. 20 (2002) 269-277.
-
Boundaries and random walks on finitely generated infinite groups
(pdf, addendum)
Arkiv för
Matematik, 41 (2003) 295-306.
-
Linear rate of escape and convergence in directions
(pdf)
In: Proceedings of a Workshop at the Schrödinger Institute,
Vienna 2001,
(Ed. by V.A. Kaimanovich, in collab. with K. Schmidt, W. Woess)
de Gruyter, 2004.
-
Hilbert's metric and Gromov hyperbolicity
(pdf)
(with G. Noskov)
L'Enseign. Math. 48 (2002) 73-89.
-
Nonexpanding maps, Busemann functions and Multiplicative
ergodic theory (pdf)
In: Proceedings of the Workshop in Ergodic theory,
Geometric rigidity and Number theory,
Newton Institute,
Cambridge, (Eds. M. Burger and A. Iozzi)
283-294, Springer Verlag, 2002.
-
Nonexpanding maps and Busemann functions
(CUP:etds)
Erg. Th. & Dyn. Sys. 21 (2001) 1447-1457.
-
An alternative proof of the subadditive ergodic theorem
(pdf)
Unpublished manuscript.
-
A multiplicative ergodic theorem and nonpositively curved spaces
(LINK)
(with G. Margulis)
Comm. Math. Phys. 208 (1999) 107-123.