**Tatiana Smirnova-Nagnibeda**
###
Publications

*
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*