Spectral measures and dominant vertices in graphs of bounded degree
(with C. Bruchez and P. de la Harpe)
Subshifts with leading sequences,
uniformity of cocycles and spectra of Schreier graphs
(with R. Grigorchuk, D. Lenz and D. Sell), to appear in Adv. Math.
On the 3-colorable subgroup F and maximal subgroups
of Thompson's group F
(with V. Aiello), Ann. Inst. Fourier, in print
On spectra and spectral measures of Schreier and Cayley graphs
(with R. Grigorchuk and A. Perez), IMRN, Vol. 2022, issue 15, pp. 11957--12002 (2022)
On the oriented Thompson subgroup in F_3
and its relatives in higher Brown-Thompson groups
(with V. Aiello), Journal of Algebra and its Applications, Vol.21, No 7 (2022)
Finitely generated subgroups of branch groups and subdirect products of just infinite groups
(with R. Grigorchuk and P.-H. Leemann), Izv. RAN (Mathematics), Vol. 85:6, pp. 104--125 (2021)
Schreier graphs of spinal groups
(with A. Perez), IJAC, Vol.31, No 6 (2021)
Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order
(with R. Grigorchuk and D. Lenz), Math.Ann. 370 (2018), no. 3-4, 1607–1637.
Combinatorics of the shift associated with Grigorchuk's group
(with R. Grigorchuk and D. Lenz), Proc. Steklov Inst. Math. 297 (2017), no. 1, 138–144.
Boundaries of Zn-free groups
(with A. Malyutin and D. Serbin), in: "Groups, Graphs, and Random Walks", T. Ceccherini-Silberstein et al. (Eds), London Math. Soc. Lecture Notes Series 436 (Cambridge University Press), 2017, 355-390.
Ends of Schreier graphs of self-similar groups
(with D. D'Angeli and I. Bondarenko), Journal of Fractal Geometry, 4 (2017), no. 4, 369–424.
Schreier graphs of Grigorchuk's group and a subshift associated to a non-primitive substitution
(with R. Grigorchuk and D. Lenz), in: "Groups, Graphs, and Random Walks", T. Ceccherini-Silberstein et al. (Eds), London Math. Soc. Lecture Notes Series 436 (Cambridge University Press), 2017, 250-299.
Weakly maximal subgroups of Grigorchuk group and of other regular branch groups
(with K. Bou-Rabee and P.-H. Leemann), J. Algebra 455 (2016), 347–357.
Lamplighter groups, de Bruijn graphs, spider-web graphs and their spectra
(with R. Grigorchuk and P.-H. Leemann), J. Phys. A 49 (2016), no. 20, 205004, 35 pp.
Universal groups of intermediate growth
(with M. Benli and R. Grigorchuk), Functional Analysis and its Applications, vol. 49 (2015), no. 3, pp. 159--174.
Weighted Coxeter graphs and generalized geometric representations of Coxeter groups
(with V. Bugaenko, Y. Cherniavsky and R. Schwartz) Discrete Appl.Math., vol. 192C, (2015) pp. 17--27.
Small spectral radius and percolation constants on non-amenable Cayley graphs
(with K. Juschenko), Proc. AMS 143 (2015), no. 4, 1449–1458.
On transitivity and (non)amenability of Aut(F_n)-actions on group presentations
(with A. Myropolska), Groups Geom. Dyn. 8 (2014), no. 3, 837–861.
Abelian sandpile model on randomly rooted graphs and self-similar groups
(with M.Matter), Israel Journal of Math. 199 (2014), no. 1, 363–420.
Subset currents on free groups
(with I. Kapovich), Geom. Dedicata, 166 (2013), 307–348.
Counting dimer coverings on self-similar Schreir graphs
(with D.D'Angeli and A. Donno), European J. of Combinatorics 33, Issue 7 (2012).
Ergodic properties of boundary actions and Nielsen-Schreier theory
(with R. Grigorchuk
and V. Kaimanovich)
arXiv:0901.4734; Advances in Math. 230 (2012) 1340--1380.
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.
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))
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
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