Tatiana Smirnova-Nagnibeda

Publications




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 (Cambridge University Press), 2017, in print.

Universal groups of intermediate growth
     
(with M. Benli and R. Grigorchuk), Functional Analysis and its Applications, vol. 49 (2015), no. 3, pp. 159--174.

Weakly maximal subgroups of Grigorchuk group and of other regular branch groups
     
(with K. Bou-Rabee and P.-H. Leemann), J. Algebra 455 (2016), 347357.

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.

Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order
     
(with R. Grigorchuk and D. Lenz) , arXiv:1412.6822; accepted for publication in Math.Ann.

On transitivity and (non)amenability of Aut(F_n)-actions on group presentations
     
(with A. Myropolska), Groups Geom. Dyn. 8 (2014), no. 3, 837861.

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), Mittag-Leffler Institute Preprint, 2012. Proc. AMS 143 (2015), no. 4, 14491458.

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 (Cambridge University Press), 2017, in print.

Ends of Schreier graphs of self-similar groups
     
(with D. D'Angeli and I. Bondarenko), accepted for publication in Journal of Fractal Geometry.

Subset currents on free groups
     
(with I. Kapovich), Geom. Dedicata 166 (2013), 307348.

Abelian sandpile model on randomly rooted graphs and self-similar groups
     
(with M.Matter), arXiv:1105.4036, Israel Journal of Math. 199 (2014), no. 1, 363420.

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))

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