Publications

[1] T. Ceccherini and C. Pinzari: Simplicity of the fixed point algebra of O_∞ under special canonical actions of a compact group, Boll. Unione Mat. Ital. (7) 5–A (1991), 333–338.

[2] T. Ceccherini and C. Pinzari: Canonical Actions on O_∞ , J. Funct. Analysis 103 (1992), 26–39.

[3] T. Ceccherini, S. Doplicher, C. Pinzari and J.E. Roberts: A Generalisation of the Cuntz Algebras and Model Actions, J. Funct. Analysis 125 (1994), 416–437.

[4] T. Ceccherini: Approximately inner and centrally free commuting squares of type II_1 factors and their classification, J. Funct. Analysis 142 (1996) 296–336.

[5] T. Ceccherini–Silberstein: On a convexity problem in subfactors considered by Baht, Pati and Sunder, Math. Ann. 307 (1997) 139–142.

[6] L. Bartholdi, S. Cantat, T. Ceccherini–Silberstein and P. de la Harpe: Estimates for simple random walks on fundamental groups of surfaces, Coll. Math. 72 (1997), 173–194.

[7] T. Ceccherini–Silberstein and R.I. Grigorchuk: Amenability and growth of one–relator groups, Enseign. Math. 43 (1997), 337–354.

[8] T. Ceccherini–Silberstein: C^∗ −algebras associated with von Neumann algebras, Boll. Un. Mat. Ital. (8) 2-B (1999), 231–238.

[9] T.G. Ceccherini–Silberstein, A. Mach`ı and F. Scarabotti: Amenable groups and cellular automata, Ann. Inst. Fourier (Grenoble) 49, 2 (1999), 673–685.

[10] T. Ceccherini–Silberstein, R.I. Grigorchuk and P. de la Harpe: Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces, Proc. Steklov Inst. Math. 224 (1999), 57–97.

[11] T. Ceccherini–Silberstein, R.I. Grigorchuk and P. de la Harpe: D´ecompositions para doxales des groupes de Burnside, C.R. Acad. Sci. Paris. S´erie I, 327 (1998), 127–132.

[12] C. Beguin and T. Ceccherini–Silberstein: Formes faibles de moyennabilite pour les groupes a un relateur, Bull. Belgian Math. Soc. (Simon Stevin) 7 (2000), 135–148.

[13] T. Ceccherini–Silberstein, A. Machı and F. Scarabotti: Il gruppo di Grigorchuk di crescita intermedia, Rend. Circ. Mat. Palermo, Serie II, Tomo L (2001), 67–102.

[14] L. Bartholdi and T.G. Ceccherini–Silberstein: Salem numbers and growth series of some hyperbolic graphs, Geom. Dedicata 90 (2002), 107–114.

[15] T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli: The top of the lattice of normal subgroups in the Grigorchuk group, J. Algebra 246 (2001), 292–310.

[16] T.Ceccherini–Silberstein and F. Scarabotti: Inner amenability of some groups of piece-wise linear homeomorphisms of the real line, J. Math. Sci. (New York) 106 (2001), no. 4, 3164–3167.

[17] L. Bartholdi and T.G. Ceccherini–Silberstein: Growth series and random walks on some hyperbolic graphs, Monatsh. Math. 136 (2002), 181–202.

[18] T. Ceccherini–Silberstein: On the Grigorchuk–Kurchanov conjecture, Manuscripta Math. 107 (2002) 451–461.

[19] T. Ceccherini-Silberstein and W. Woess: Growth and ergodicity of context-free languages, Trans. Amer. Math. Soc. 354 (2002) 4597–4625.

[20] T. Ceccherini–Silberstein, A. Machı and F. Scarabotti: On the Entropy of Regular Languages, Theoret. Comput. Sci. 307 (2003) 93–102.

[21] T. Ceccherini-Silberstein and W. Woess: Growth sensitivity of context-free languages, Theoret. Comput. Sci. 307 (2003) 103–116.

[22] T. Ceccherini–Silberstein, F.Scarabotti and F.Tolli: Weighted expanders and the anisotropic Alon-Boppana theorem, European J. Combin. 25 (2004) 735–744.

[23] T. Ceccherini–Silberstein, Yu. Leonov, F. Scarabotti and F. Tolli: Generalized Kaloujnine groups, uniseriality and height of automorphisms, Internat. J. Algebra Comput., 15 (2005), no. 3, 503–527.

[24] T. Ceccherini-Silberstein: On the growth of linear languages, Adv. in Appl. Math., 35 (2005) 243–253.

[25] T. Ceccherini–Silberstein: On subfactors with unitary orthonormal basis, J. Math. Sci. (New York) 137 (2006), 5137–5160.

[26] T. Ceccherini-Silberstein and M. Coornaert: The Garden of Eden Theorem for Linear Cellular Automata, Ergodic Theory Dynam. Systems 26 (2006), 53–68.

[27] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Trees, wreath products and finite Gelfand pairs, Adv. Math. 206 (2006), 503–537.

[28] T. Ceccherini-Silberstein: Growth and ergodicity of context-free languages II: the linear case, Trans. Amer. Math. Soc. 359 (2007), 605–618.

[29] T. Ceccherini-Silberstein and M. Coornaert: Injective linear cellular automata and sofic groups, Israel J. Math. 161 (2007), 1–15.

[30] T. Ceccherini-Silberstein and M. Coornaert: Linear cellular automata: Garden of Eden Theorem, linear-surjunctivity and group rings, Algebra Discrete Math. no. 2 (2006), 22–35.

[31] T. Ceccherini-Silberstein and A.Y. Samet-Vaillant: Gromov’s Translation Algebras, Growth and Amenability of Operator Algebras, Expo. Math. 26 no. 2 (2008), 141–162.

[32] T. Ceccherini-Silberstein and M. Coornaert: Amenability and linear cellular automata over semisimple modules of finite length, Comm. in Algebra 36 (2008), 1320–1335.

[33] T. Ceccherini-Silberstein and M. Coornaert: Linear cellular automata over modules of finite length and stable finiteness of group rings, J. Algebra 317 (2007), 743–758.

[34] T. Ceccherini-Silberstein and G. Elek: Minimal topological actions do not determine the measurable orbit equivalencve class, Groups, Geometry and Dynamics 2 (2008), 139–163.

[35] T. Ceccherini-Silberstein, A. Machı, F. Scarabotti and F. Tolli: Induced Representations and Mackey Theory, J. Math. Sci. (New York) 156 (2009), 11–28.

[36] T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli: Clifford Theory and Applications, J. Math. Sci. (New York) 156 (2009), 29–43.

[37] T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli: Representation theory of wreath products of finite groups, J. Math. Sci. (New York) 156 (2009), 44–55.

[38] T. G. Ceccherini-Silberstein and A. Y. Samet–Vaillant: Asymptotic Invariants of Finitely-Generated Algebras. A Generalization of Gromov’s Quasi-Isometric Viewpoint, J. Math. Sci. (New York) 156 (2009), 56–108.

[39] T. Ceccherini-Silberstein and M. Coornaert: A generalization of the Curtis-Hedlund theorem, Theoret. Comput. Sci 400 (2008), 225–229.

[40] T. Ceccherini-Silberstein and M. Coornaert: Induction and restriction of cellular automata, Ergodic Theory Dynam. Systems 29 (2009), 371–380.

[41] T. Ceccherini-Silberstein and M. Coornaert: Expansive actions on uniform spaces and surjunctive maps, Bull. Math. Sci. 1(1) (2011), 79–98.

[42] T. Ceccherini-Silberstein and W. Woess: Context-free pairs of groups I: context free pais and graphs, European J. Combin. 33 (2012), 1449–1466.

[43] T. Ceccherini-Silberstein and M. Coornaert: On a characterization of locally finite groups in terms of linear cellular automata, J. Cell. Autom. 6 (2011), 207–213.

[44] T. Ceccherini-Silberstein and M. Coornaert: On the reversibility and the closed image property of cellular automata, Theoret. Comput. Sci. 412 (2011), 300-306.

[45] T. Ceccherini-Silberstein and M. Coornaert: A Garden of Eden theorem for linear subshifts, Ergodic Theory Dynam. Systems 32 (2012), 81–102.

[46] T. Ceccherini-Silberstein and M. Coornaert: The Myhill property for strongly irreducible subshifts, Monatshefte Math. 165 (2012), 155–172.

[47] I. Bondarenko, T. Ceccherini-Silberstein, A. Donno and V. Nekrashevych: On a family of Schreier graphs of intermediate growth associated with a self-similar group, European J. Combin. 33 (2012), 1408–1421.

[48] T. Ceccherini-Silberstein and M. Coornaert: On algebraic cellular automata, J. Lond. Math. Soc., II. Ser. 84, No. 3 (2011), 541–558.

[49] T. Ceccherini-Silberstein, M. Coornaert and J. Dodziuk: The surjectivity of the combinatorial Laplacian on infinite graphs, Enseign. Math. 58 (2012), 125-130. 

[50] T. Ceccherini-Silberstein and M. Coornaert: On the density of periodic configurations in strongly irreducible subshifts, Nonlinearity 25 (2012), 2119–2131.

[51] T. Ceccherini-Silberstein and M. Coornaert: Sensitivity and Devaney’s chaos in uniform spaces, Journal of Dynamical and Control Systems 19 (2013), no. 3, 349–357.

[52] T. Ceccherini-Silberstein, M. Coornaert and F. Krieger: An analogue of Fekete’s lemma for subadditive functions on cancellative amenable semigroups, Journal d’Analyse Mathematique 124 (2014), 59–81.

[53] T. Ceccherini-Silberstein, M. Coornaert, F. Fiorenzi and Zoran Sunic: Cellular automata on regular rooted trees, CIAA 2012, Lect. Notes in Comput. Sci. 7381 (2012), 101–112.

[54] T. Ceccherini-Silberstein, M. Coornaert, F. Fiorenzi and Zoran Sunic: Cellular automata between sofic tree shifts, Theoret. Comput. Sci. 506 (2013), 79–101.

[55] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: On some aspects of the representation theory of the alternating group, International Journal of Group Theory 2 (2013), 187–198.

[56] T. Ceccherini-Silberstein and M. Coornaert: The Myill property for cellular automata on amenable semigroups, Proc. Amer. Math. Soc. 143 (2015), 327–339.

[57] T. Ceccherini-Silberstein and M. Coornaert: On sofic monoids, Semigroup Forum 89, 3 (2014), 546–570.

[58] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Mackey’s theory of τ-conjugate representations for finite groups, Japan. J. Math. 10 (2015), 1–54.

[59] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Mackey’s criterion for subgroup restriction of Kronecker products and harmonic analysis on Clifford groups. Tohoku Math. J. (2) 67 (2015), no. 4, 553–571.

[60] T. Ceccherini-Silberstein, M. Coornaert, F. Fiorenzi, P. Schupp and N. Touikan: Multi-pass automata and group word problems. Theoret. Comput. Sci. 600 (2015), 19–33.

[61] T. Ceccherini-Silberstein and M. Coornaert: On surjunctive monoids. Internat. J. Algebra Comput. 25, No. 4 (2015), 567–606.

[62] T. Ceccherini-Silberstein and M. Coornaert: On residually finite semigroups of cellullar automata. International Journal of Group Theory 4 (2015), no. 2, 9–15.

[63] T. Ceccherini-Silberstein and M. Coornaert: Expansive actions of countable amenable groups with the Myhill property. Illinois J. Math. 59 (2015), no. 3, 597–621.

[64] T. Ceccherini-Silberstein and M. Coornaert: A Garden of Eden Theorem for Anosov diffeomorphisms on tori. Topology Appl. 212 (2016), 49–56.

[64] T. Ceccherini-Silberstein and M. Coornaert: A Garden of Eden Theorem for principal algebraic actions, preprint (2017). arXiv:1706.06548.

[66] T. Ceccherini-Silberstein and M. Coornaert, The Garden of Eden Theorem: old and new, in “Handbook of Group Actions volume V”, Eds. L. Ji, A. Papadopoulos, and S.T. Yau, pp. 55–106, International Press and Higher Education Press, 2020.

[67] T. Ceccherini-Silberstein, M. Coornaert, and X.K. Phung: On injective endomorphisms of symbolic schemes, Comm. Algebra 47 (2019), no. 11, 4824–4852.

[68] S. Bhattacharya, T. Ceccherini-Silberstein and M. Coornaert: Surjunctivity and topological rigidity of algebraic dynamical systems, Ergodic Theory Dynam. Systems 39 (2019), no. 3, 604–619.

[69] T. Ceccherini-Silberstein, M. Coornaert, and H. Li: Homoclinically expansive actions and a Garden of Eden theorem for harmonic models, Comm. Math. Phys. 368 (2019), no. 3, 1175–1200.

[70] T. Ceccherini-Silberstein, M. Coornaert, and X.K. Phung: On the Garden of Eden theorem for endomorphisms of symbolic algebraic varieties, Pacific Journal of Mathematics 306 (2020), no. 1, 31–66.

[71] T. Ceccherini-Silberstein, M. Coornaert: Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property, J. Dyn. Control Syst. 27 (2021), no. 3, 427–456.

[72] T. Ceccherini-Silberstein, M. Coornaert, and X.K. Phung: Invariant sets and nilpotency of endomorphisms of algebraic sofic shifts, Ergodic Theory and Dyn. Systems. Published online 2024:1-42. doi:10.1017/etds.2023.120. 

[73] T. Ceccherini-Silberstein, M. Coornaert, and X.K. Phung: On linear shifts of finite type and their endomorphisms, Journal of Pure and Applied Algebra 226 (2022) p. 106962.

[74] T. Ceccherini-Silberstein, M. Coornaert, and H. Li: Expansive actions with specification of sofic groups, strong topological Markov property, and surjunctivity. J. Funct. Anal. 286 (2024), no. 9, Paper No. 110376.

[75] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: A note on the Kaloujnine-Krasner theorem, Comm. in Algebra 51, (2023), no. 2, 688-693.

[76] T. Ceccherini-Silberstein, M. Coornaert, and X.K. Phung: First-order model theory and Kaplansky’s stable finiteness conjecture. Groups Geom. Dyn. (to appear). arXiv:2310.09451.

[77] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Homogeneous spaces of semidirect products and finite Gelfand pairs. Preprint arXiv:2405.08371.

[1] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains. Cambridge Studies in Advanced Mathematics 108, Cambridge University Press, Cambridge, 2008.

[2] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Representation Theory of the Symmetric Groups. The Okounkov-Vershik approach, character formulas and partition algebras. Cambridge Studies in Advanced Mathematics, 121, Cambridge University Press, Cambridge, 2010.

[3] T. Ceccherini-Silberstein and M. Coornaert: Cellular Automata and Groups. Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2010.

[4] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Representation Theory and Harmonic Analysis of wreath products of finite groups. London Mathematical Society Lecture Note Series 410, Cambridge University Press, Cambridge, 2014.

[5] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform. Cambridge Studies in Advanced Mathematics 172, Cambridge University Press, Cambridge, 2018.

[6] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Gelfand triples and their Hecke algebras. Harmonic analysis for multiplicity-free induced representations of finite groups, with a foreword by E. Bannai. LNM 2267 Springer 2020.

[7] T. Ceccherini-Silberstein and M. D’Adderio, Topics in Groups and Geometry, with a foreword by E.I. Zelmanov. Springer Monographs in Mathematics, Springer-Verlag, 2021.

[8] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Representation Theory of Finite Group Extensions: Clifford Theory, Mackey Obstruction, and the Orbit Method, Springer Monographs in Mathematics, Springer-Verlag, 2022.

[9] T. Ceccherini-Silberstein and M. Coornaert: Exercises in Cellular Automata and Groups. Springer Monographs in Mathematics, Springer-Verlag, 2023.

[10] T. Ceccherini-Silberstein and M. Coornaert: Cellular Automata and Groups. 2nd Edition. Springer Monographs in Mathematics, Springer-Verlag, 2023.

[1] T.Ceccherini–Silberstein: An interplay between ergodic theory and combinatorics, in Paul Erdos and his mathematics (Budapest, 1999), 45–49, Janos Bolyai Math. Soc., Budapest, 1999.

[2] T.G. Ceccherini-Silberstein: Around Amenability, J. Math. Sci. (New York) 106 (2001), no. 4, 3145–3163.

[3] T. Ceccherini-Silberstein, F. Fiorenzi and F. Scarabotti: The Garden of Eden Theorem for Cellular Automata and for Symbolic Dynamical Systems, in “Random walks and geometry” V. A. Kaimanovich Ed., 73–108, Walter de Gruyter, Berlin, 2004.

[4] T. Ceccherini–Silberstein and F. Scarabotti: Random walks, entropy and hopfianity of free groups, in “Random walks and geometry” V. A. Kaimanovich Ed., 413–419, Walter de Gruyter, Berlin, 2004.

[5] T. Ceccherini–Silberstein, F. Scarabotti and F. Tolli: Finite Gelfand pairs and their applications to Probability and Statistics, J. Math. Sci. (New York), 141, no. 2 (2007), 1182–1229.

[6] T. Ceccherini-Silberstein and M. Coornaert: On the surjunctivity of Artinian linear cellular automata over residually finite groups. In "Algebra and Geometry in Geneva and Barcelona". Trends in mathematics, 37–44 (2007) Birkhauser.

[7] T. Ceccherini-Silberstein and A.Y. Samet-Vaillant: A note on Ends of Operator Algebras, Ischia Group Theory 2006, 7–12, World Scientific Publishing 2007.

[8] T. Ceccherini-Silberstein and M. Coornaert: A note on the Laplace operator, in “Limits of graphs in group theory and computer science”, 37–40, EPFL Presse, Lausanne, 2009.

[9] T. Ceccherini-Silberstein and M. Coornaert: Cellular Automata and Groups, in Encyclopedia of Complexity and Systems Science, Springer 2009, Part 3 (“Cellular Automata, Mathematical Basis of”), 778–791, DOI: 10.1007/978-0-387-30440-3 52.

[9] T. Ceccherini-Silberstein, D. D’Angeli, A. Donno, F. Scarabotti and F. Tolli: Finite Gelfand Pairs. New examples and applications, Ischia Group Theory 2008, 7–41, World Scientific Publishing 2009.

[10] T. Ceccherini-Silberstein, A. Donno and D. Iacono: The Tutte polynomial of the the Schreier graphs of the Grigorchuk group and the Basilica group, Ischia group theory 2010, 45-68, World Sci. Publ., Hackensack, NJ, 2012.

[11] T. Ceccherini-Silberstein, M. Coornaert, F. Fiorenzi and P. Schupp: Groups, Graphs, Languages, Automata, Games and Second-order Monadic Logic, European J. Combin. 33 (2012), 1330–1368.

[12] T. Ceccherini-Silberstein and M. Coornaert: Surjunctivity and reversibility of cellular automata over concrete categories. In "Trends in Harmonic Analysis", pp. 91–134, Springer INdAM Series, Vol. 3, Springer, 2013.

[13] T. Ceccherini-Silberstein and M. Coornaert, The Garden of Eden Theorem: old and new, in “Handbook of Group Actions volume V”, Eds. L. Ji, A. Papadopoulos, and S.T. Yau, pp. 55–106, International Press and Higher Education Press, 2020.

[14] T. Ceccherini-Silberstein, F.Scarabotti and F.Tolli: Topics in Finite Group Representations, Discrete Laplacians, and Spectral Graph Theory. In “Groups and Graphs, Designs and Dynamics” Edited by R.A. Bailey, P.J. Cameron, and Y. Wu. London Mathematical Society Lecture Note Series 491. Cambridge University Press 2024.

[15] T. Ceccherini-Silberstein, M. Coornaert, and X.K. Phung: Cellular automata over shifts and subshifts: Garden of Eden theorems and surjunctivity. In "Automata and Languages" - GAGTA book 3, B. Steinberg Ed., De Gruyter, Berlin (in press).

[1] L. Bartholdi, T. Ceccherini-Silberstein, T. Smirnova-Nagnibeda, and A. Zuk (guest editors): Proceedings of the the International Conference in Group Theory (Gaeta, June 1-6 2003); Internat. J. Algebra Comput. 15, n. 5-6 (2005).

[2] L. Bartholdi, T. Ceccherini-Silberstein, T. Smirnova-Nagnibeda, and A. Zuk (Eds): Infinite Groups: Geometric, Combinatorial and Dynamical Aspects. Progress in Mathematics, Birkhauser Verlag, Basel, 2005.

[3] T. Ceccherini-Silberstein (guest editor): (translation of Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 50, Functional Analysis, 2007.) J. Math. Sci. (New York) 156 (2009).

[4] T. Ceccherini-Silberstein (guest editor): Groups, Graphs, and Languages, European J. Combin. 33 (2012).

[5] T. Ceccherini-Silberstein, Maura Salvatori, and Ecaterina Sava-Huss (Eds): Groups, Graphs, and Random Walks. London Mathematical Society Lecture Note Series 436. Cambridge University Press, Cambridge, 2017.