Boundaries of Zn-free groups
(with A. Malyutin and D. Serbin), preprint, 2011.
Counting dimer coverings on self-similar Schreir graphs
(with D.D'Angeli and A. Donno), to appear in European Journal of Combinatorics.
Generalized geodesic currents on free groups
(with I. Kapovich), arxiv:1105.5742.
Ends of Schreier graphs of self-similar groups
(with D.D'Angeli and I. Bondarenko), preprint, 2011.
Abelian sandpile model on randomly rooted graphs and self-similar groups
(with M.Matter), arXiv:1105.4036.
Partition functions of the Ising model on some self-similar Schreier graphs
(with D.D'Angeli and A. Donno), in: "Random Walks, Boundaries and Spectra" (D. Lenz, F. Sobieczky and W. Woess Eds.), Progress in
Prob. Vol. 64 Birkhäuser, Springer Basel 2011, 277--304.
Schreier graphs of the Basilica group
(with D.D'Angeli, A. Donno and M. Matter), Journal of Modern Dynamics, Vol. 4 (2010), No 1, pp. 139--177.
Geometric entropy of geodesic currents on free groups
(with I. Kapovich) in: "Dynamical Numbers: interplay between dynamical systems and number theory" (S. Kolyada, Yu. Manin, M. Moeller, P. Moree and T. Ward Eds.),
AMS Contemporary Mathematics Series, Vol. 532, Providence (2010), 149--175.
Ergodic properties of boundary actions and Nielsen-Schreier theory
(with
R. Grigorchuk
and V. Kaimanovich)
arXiv:0901.4734; accepted for publication in Advances of Mathematics.
On subgroup structure of a 3-generated 2-group of intermediate
growth
(with R. Grigrochuk) Mathematisches Forschungsinstitut Oberwolfach Report No. 28/2008
Infinite Groups: Geometric, Combinatorial and Dynamical Aspects
Series: Progress in Mathematics, Vol. 248
Bartholdi, L.; Ceccherini-Silberstein, T.; Smirnova-Nagnibeda, T.; Zuk, A. (Eds.),
Birkhäuser,
2005, Approx. 405 p., Hardcover
ISBN: 3-7643-7446-2
The Patterson-Sullivan embedding and minimal volume entropy
for outer space
(with
I. Kapovich)
Geom. Funct. Anal. (GAFA) 17 (2007), no 4, pp. 1201-1236
Random walks on trees,
spectral radii of groups,
and Ramanujan graphs
in: "Random Walks and Geometry", ed. V.
Kaimanovich, de Gruyter, 2004, pp. 487-500
Random walks on trees with finitely
many cone types
(with
W.
Woess) J. Theoret. Probab. 15 (2002), No 2,
pp. 383-422; (Preprint ESI
No 1009 (2001))
Green functions on trees with finitely many
cone types
Preprint
PDMI
No 1 (1999)
On non-uniqueness of percolation in nonamenable
Cayley graphs
(with
I.
Pak) Comptes Rendus Acad. Sci., Paris, Sér. I, 330
(2000)
pp. 1-6
Not every uniform tree covers Ramanujan graphs
(with A.
Lubotzky) Journal of Combinatorial Theory, Series B, 74
(1998) pp. 202-212
Isoperimetric constant of a $k$-regular graph
(a note on a theorem of Biggs, Mohar, and Shawe-Taylor)
Preprint
(1998)
Complete growth functions of hyperbolic groups
(with
R. Grigorchuk)
Inventiones Mathematicae,
130 (1997)
pp. 159-188
The lattice of integral flows and the lattice
of integral cuts on a finite graph
(with R. Bacher
and P. de la Harpe) Bulletin de la Société
Mathématique de France, 125 (1997) pp.
1-32
An estimate from above of spectral
radii of random walks on surface groups
Zapiski Nauchnykh
Seminarov POMI, 240 (1997), pp. 154-166
Jacobian of a finite graph
in: Harmonic
functions on trees and buildings (New York, 1995), 149--151, Contemp. Math.,
206, AMS, 1997