Prof. Dr. Laurent Bartholdi

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  • 2021 | Journal Article | Research Paper
    ​ ​Equitable Voting Rules​
    Bartholdi, L. ; Hann-Caruthers, W.; Josyula, M.; Tamuz, O. & Yariv, L.​ (2021) 
    Econometrica, 89(2) pp. 563​-589​.​ DOI: https://doi.org/10.3982/ECTA17032 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence​
    Bartholdi, L.   & Dudko, D.​ (2021) 
    Groups, Geometry, and Dynamics, 15(4) pp. 1197​-1265​.​ DOI: https://doi.org/10.4171/GGD/629 
    ​Details  DOI 
  • 2021 | Journal Article | Research Paper
    ​ ​A New Hierarchy for Automaton Semigroups​
    Bartholdi, L. ; Godin, T.; Klimann, I.; Noûs, C. & Picantin, M.​ (2021) 
    International Journal of Foundations of Computer Science, 31(08) pp. 1069​-1089​.​ DOI: https://doi.org/10.1142/S0129054120420046 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Self-similar products of groups​
    Bartholdi, L.   & Sidki, S.​ (2020) 
    Groups, Geometry, and Dynamics, 14(1) pp. 107​-115​.​ DOI: https://doi.org/10.4171/GGD/536 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Algorithmic aspects of branched coverings II/V: sphere bisets and decidability of Thurston equivalence​
    Bartholdi, L.   & Dudko, D.​ (2020) 
    Inventiones mathematicae, 223(3) pp. 895​-994​.​ DOI: https://doi.org/10.1007/s00222-020-00995-2 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Right Angled Artin Groups and partial commutation, old and new​
    Bartholdi, L. ; Härer, H. & Schick, T. ​ (2020) 
    L'Enseignement Mathématique, 66(1) pp. 33​-61​.​ DOI: https://doi.org/10.4171/LEM/66-1/2-3 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​The word and order problems for self-similar and automata groups​
    Bartholdi, L.   & Mitrofanov, I.​ (2020) 
    Groups, Geometry, and Dynamics, 14(2) pp. 705​-728​.​ DOI: https://doi.org/10.4171/GGD/560 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Amenability of groups is characterized by Myhill's Theorem. With an appendix by Dawid Kielak​
    Bartholdi, L.   & Kielak, D.​ (2019) 
    Journal of the European Mathematical Society, 21(10) pp. 3191​-3197​.​ DOI: https://doi.org/10.4171/JEMS/900 
    ​Details  DOI 
  • 2018 | Book Chapter
    ​ ​Amenability of Groups and G-Sets​
    Bartholdi, L. ​ (2018)
    In:​Berthé, Valérie; Rigo, Michel​ (Eds.), Sequences, Groups, and Number Theory pp. 433​-544. ​Cham: ​Birkhäuser. DOI: https://doi.org/10.1007/978-3-319-69152-7_11 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets​
    Bartholdi, L.   & Dudko, D.​ (2018) 
    Groups, Geometry, and Dynamics, 12(1) pp. 121​-172​.​ DOI: https://doi.org/10.4171/GGD/441 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Algorithmic aspects of branched coverings IV/V. Expanding maps​
    Bartholdi, L.   & Dudko, D.​ (2018) 
    Transactions of the American Mathematical Society, 370(11) pp. 7679​-7714​.​ DOI: https://doi.org/10.1090/tran/2018-370-11 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Distortion of imbeddings of groups of intermediate growth into metric spaces​
    Bartholdi, L.   & Erschler, A.​ (2017) 
    Proceedings of the American Mathematical Society, 145(5) pp. 1943​-1952​.​ DOI: https://doi.org/10.1090/proc/2017-145-05 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Poisson-Furstenberg boundary and growth of groups​
    Bartholdi, L.   & Erschler, A.​ (2017) 
    Probability Theory and Related Fields, 168(1-2) pp. 347​-372​.​ DOI: https://doi.org/10.1007/s00440-016-0712-6 
    ​Details  DOI  WoS 
  • 2017 | Journal Article | Research Paper
    ​ ​Representation zeta functions of self-similar branched groups​
    Bartholdi, L. ​ (2017) 
    Groups, Geometry, and Dynamics, 11(1) pp. 29​-56​.​ DOI: https://doi.org/10.4171/GGD/386 
    ​Details  DOI  WoS 
  • 2016 | Journal Article | Research Paper
    ​ ​Du binôme de Newton à l'identité d'Appell​
    Bartholdi, L.   & Sallard, P.-A.​ (2016) 
    Quadrature. Magazine de Mathématiques Pures et Épicées,(101) pp. 28​-29​.​
    ​Details 
  • 2016 | Journal Article | Research Paper
    ​ ​The rational homology of the outer automorphism group of F7​
    Bartholdi, L. ​ (2016) 
    New York Journal of Mathematics, 22 pp. 191​-197​.​
    ​Details 
  • 2016 | Book Chapter
    ​ ​Algorithmic decidability of Engel's property for automaton groups​
    Bartholdi, L. ​ (2016)
    In:​Kulikov, Alexander S; Woeginger, Gerhard J.​ (Eds.), Computer science—theory and applications pp. 29​-40. (Vol. 9691). ​Springer. DOI: https://doi.org/10.1007/978-3-319-34171-2\\\\.3 
    ​Details  DOI 
  • 2016 | Journal Article | Research Paper
    ​ ​Automorphisms of free groups. I—erratum [ MR3084710]​
    Bartholdi, L. ​ (2016) 
    New York Journal of Mathematics, 22 pp. 1135​-1137​.​
    ​Details 
  • 2015 | Journal Article | Research Paper
    ​ ​Homological finiteness properties of wreath products​
    Bartholdi, L. ; de Cornulier, Y. & Kochloukova, D. H.​ (2015) 
    The Quarterly Journal of Mathematics, 66(2) pp. 437​-457​.​ DOI: https://doi.org/10.1093/qmath/hau035 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​Self-similar Lie algebras​
    Bartholdi, L. ​ (2015) 
    Journal of the European Mathematical Society (JEMS), 17(12) pp. 3113​-3151​.​ DOI: https://doi.org/10.4171/JEMS/581 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​Lie dimension subrings​
    Bartholdi, L.   & Passi, I. B. S.​ (2015) 
    International Journal of Algebra and Computation, 25(8) pp. 1301​-1325​.​ DOI: https://doi.org/10.1142/S0218196715500423 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​Algorithmic construction of Hurwitz maps​
    Bartholdi, L. ; Buff, X.; Graf von Bothmer, H.-C. & Kröker, J.​ (2015) 
    Experimental Mathematics, 24(1) pp. 76​-92​.​ DOI: https://doi.org/10.1080/10586458.2013.860569 
    ​Details  DOI 
  • 2014 | Journal Article | Research Paper
    ​ ​Groups of given intermediate word growth​
    Bartholdi, L.   & Erschler, A.​ (2014) 
    Université de Grenoble. Annales de l'Institut Fourier, 64(5) pp. 2003​-2036​.​
    ​Details 
  • 2014 | Journal Article | Research Paper
    ​ ​Images of Golod-Shafarevich algebras with small growth​
    Smoktunowicz, A. & Bartholdi, L. ​ (2014) 
    The Quarterly Journal of Mathematics, 65(2) pp. 421​-438​.​ DOI: https://doi.org/10.1093/qmath/hat005 
    ​Details  DOI 
  • 2014 | Journal Article | Research Paper
    ​ ​Imbeddings into groups of intermediate growth​
    Bartholdi, L.   & Erschler, A.​ (2014) 
    Groups, Geometry, and Dynamics, 8(3) pp. 605​-620​.​ DOI: https://doi.org/10.4171/GGD/241 
    ​Details  DOI 
  • 2014 | Journal Article | Research Paper | 
    ​ ​Zeta functions of graphs: a stroll through the garden [book review of MR2768284]​
    Bartholdi, L. ​ (2014) 
    American Mathematical Society. Bulletin. New Series, 51(1) pp. 177​-185​.​ DOI: https://doi.org/10.1090/S0273-0979-2013-01426-5 
    ​Details  DOI 
  • 2013 | Journal Article | Research Paper
    ​ ​Automorphisms of free groups. I​
    Bartholdi, L. ​ (2013) 
    New York Journal of Mathematics, 19 pp. 395​-421​.​
    ​Details 
  • 2013 | Journal Article | Research Paper
    ​ ​(Self-)similar groups and the Farrell-Jones conjectures​
    Bartholdi, L. ​ (2013) 
    Groups, Geometry, and Dynamics, 7(1) pp. 1​-11​.​ DOI: https://doi.org/10.4171/GGD/175 
    ​Details  DOI 
  • 2013 | Journal Article | Research Paper
    ​ ​Branch rings, thinned rings, tree enveloping rings—Erratum [MR2254535]​
    Bartholdi, L. ​ (2013) 
    Israel Journal of Mathematics, 193(1) pp. 507​-508​.​ DOI: https://doi.org/10.1007/s11856-012-0074-4 
    ​Details  DOI 
  • 2013 | Journal Article | Research Paper
    ​ ​Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2​
    Smoktunowicz, A. & Bartholdi, L. ​ (2013) 
    Israel Journal of Mathematics, 194(2) pp. 597​-608​.​ DOI: https://doi.org/10.1007/s11856-012-0073-5 
    ​Details  DOI 
  • 2012 | Journal Article | Research Paper
    ​ ​The congruence subgroup problem for branch groups​
    Bartholdi, L. ; Siegenthaler, O. & Zalesskii, P.​ (2012) 
    Israel Journal of Mathematics, 187 pp. 419​-450​.​ DOI: https://doi.org/10.1007/s11856-011-0086-5 
    ​Details  DOI 
  • 2012 | Journal Article | Research Paper
    ​ ​Hodge theory on metric spaces​
    Bartholdi, L. ; Schick, T. ; Smale, N. & Smale, S.​ (2012) 
    Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics, 12(1) pp. 1​-48​.​ DOI: https://doi.org/10.1007/s10208-011-9107-3 
    ​Details  DOI 
  • 2012 | Journal Article | Research Paper | 
    ​ ​Growth of permutational extensions​
    Bartholdi, L.   & Erschler, A.​ (2012) 
    Inventiones Mathematicae, 189(2) pp. 431​-455​.​ DOI: https://doi.org/10.1007/s00222-011-0368-x 
    ​Details  DOI 
  • 2012 | Journal Article | Research Paper | 
    ​ ​Computer solution to the game of pure strategy​
    Rhoads, G. C. & Bartholdi, L. ​ (2012) 
    Games, 3(4) pp. 150​-156​.​ DOI: https://doi.org/10.3390/g3040150 
    ​Details  DOI 
  • 2012 | Journal Article | Research Paper | 
    ​ ​Orange peels and Fresnel integrals​
    Bartholdi, L.   & Henriques, A.​ (2012) 
    The Mathematical Intelligencer, 34(3) pp. 1​-3​.​ DOI: https://doi.org/10.1007/s00283-012-9304-1 
    ​Details  DOI 
  • 2010 | Journal Article | Research Paper
    ​ ​AMENABILITY OF AUTOMATA GROUPS​
    Bartholdi, L. ; Kaimanovich, V. A. & Nekrashevych, V. V.​ (2010) 
    Duke Mathematical Journal, 154(3) pp. 575​-598​.​
    ​Details  WoS 
  • 2010 | Journal Article | Research Paper
    ​ ​Gardens of Eden and amenability on cellular automata​
    Bartholdi, L. ​ (2010) 
    Journal of the European Mathematical Society (JEMS), 12(1) pp. 241​-248​.​ DOI: https://doi.org/10.4171/JEMS/196 
    ​Details  DOI 
  • 2010 | Journal Article | Research Paper
    ​ ​Representation zeta functions of wreath products with finite groups​
    Bartholdi, L.   & Harpe, P. de la​ (2010) 
    Groups, Geometry, and Dynamics, 4(2) pp. 209​-249​.​ DOI: https://doi.org/10.4171/GGD/81 
    ​Details  DOI 
  • 2010 | Journal Article | Research Paper
    ​ ​On amenability of automata groups​
    Bartholdi, L. ; Kaimanovich, V. A. & Nekrashevych, V.​ (2010) 
    Duke Mathematical Journal, 154(3) pp. 575​-598​.​ DOI: https://doi.org/10.1215/00127094-2010-046 
    ​Details  DOI 
  • 2010 | Journal Article | Research Paper
    ​ ​On abstract commensurators of groups​
    Bartholdi, L.   & Bogopolski, O.​ (2010) 
    Journal of Group Theory, 13(6) pp. 903​-922​.​ DOI: https://doi.org/10.1515/JGT.2010.021 
    ​Details  DOI 
  • 2010 | Journal Article | Research Paper
    ​ ​The twisted twin of the Grigorchuk group​
    Bartholdi, L.   & Siegenthaler, O.​ (2010) 
    International Journal of Algebra and Computation, 20(4) pp. 465​-488​.​ DOI: https://doi.org/10.1142/S0218196710005728 
    ​Details  DOI 
  • 2009 | Journal Article | Research Paper
    ​ ​On growth and torsion of groups​
    Bartholdi, L.   & Pochon, F.​ (2009) 
    Groups, Geometry, and Dynamics, 3(4) pp. 525​-539​.​ DOI: https://doi.org/10.4171/GGD/68 
    ​Details  DOI 
  • 2009 | Book Chapter
    ​ ​Self-similarity in group theory and algebra​
    Bartholdi, L. ​ (2009)
    In:​Kersten, Ina; Meyer, Ralf​ (Eds.), Symmetries in algebra and number theory (SANT) pp. 1​-10. ​Göttingen: ​Universitätsverlag Göttingen.
    ​Details 
  • 2008 | Journal Article
    ​ ​A nilpotent quotient algorithm for certain infinitely presented groups and its applications​
    Bartholdi, L. ; Eick, B. & Hartung, R.​ (2008) 
    International Journal of Algebra and Computation, 18(8) pp. 1321​-1344​.​ DOI: https://doi.org/10.1142/S0218196708004871 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Horocyclic products of trees​
    Bartholdi, L. ; Neuhauser, M. & Woess, W.​ (2008) 
    Journal of the European Mathematical Society (JEMS), 10(3) pp. 771​-816​.​ DOI: https://doi.org/10.4171/JEMS/130 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​A Mealy machine with polynomial growth of irrational degree​
    Bartholdi, L.   & Reznykov, I. I.​ (2008) 
    International Journal of Algebra and Computation, 18(1) pp. 59​-82​.​ DOI: https://doi.org/10.1142/S0218196708004287 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​On amenability of group algebras, I​
    Bartholdi, L. ​ (2008) 
    Israel Journal of Mathematics, 168 pp. 153​-165​.​ DOI: https://doi.org/10.1007/s11856-008-1061-7 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Iterated monodromy groups of quadratic polynomials. I​
    Bartholdi, L.   & Nekrashevych, V.​ (2008) 
    Groups, Geometry, and Dynamics, 2(3) pp. 309​-336​.​ DOI: https://doi.org/10.4171/GGD/42 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Maximal unramified 3-extensions of imaginary quadratic fields and SL2 (Z3)​
    Bartholdi, L.   & Bush, M. R.​ (2007) 
    Journal of Number Theory, 124(1) pp. 159​-166​.​ DOI: https://doi.org/10.1016/j.jnt.2006.08.008 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Automata, groups, limit spaces, and tilings​
    Bartholdi, L. ; Henriqueś, A. G. & Nekrashevych, V. V.​ (2006) 
    Journal of Algebra, 305(2) pp. 629​-663​.​ DOI: https://doi.org/10.1016/j.jalgebra.2005.10.022 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Groups and Lie algebras corresponding to the Yang-Baxter equations​
    Bartholdi, L. ; Enriquez, B.; Etingof, P. & Rains, E.​ (2006) 
    Journal of Algebra, 305(2) pp. 742​-764​.​ DOI: https://doi.org/10.1016/j.jalgebra.2005.12.006 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Thurston equivalence of topological polynomials​
    Bartholdi, L.   & Nekrashevych, V.​ (2006) 
    Acta Mathematica, 197(1) pp. 1​-51​.​ DOI: https://doi.org/10.1007/s11511-006-0007-3 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Infinite groups with large balls of torsion elements and small entropy​
    Bartholdi, L.   & de Cornulier, Y.​ (2006) 
    Archiv der Mathematik, 87(2) pp. 104​-112​.​ DOI: https://doi.org/10.1007/s00013-005-1684-4 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​The smallest Mealy automaton of intermediate growth​
    Bartholdi, L. ; Reznykov, I. I. & Sushchansky, V. I.​ (2006) 
    Journal of Algebra, 295(2) pp. 387​-414​.​ DOI: https://doi.org/10.1016/j.jalgebra.2004.08.040 
    ​Details  DOI 
  • 2006 | Book Chapter
    ​ ​Some solvable automaton groups​
    Bartholdi, L.  & Šuniḱ, Z.​ (2006)
    In:​Grigorchuk, Rostislav I.; Mihalik, Michael; Sapir, Mark; Šuniḱ, Zoran​ (Eds.), Topological and asymptotic aspects of group theory pp. 11​-29. (Vol. 394). ​Amer. Math. Soc., Providence, RI. DOI: https://doi.org/10.1090/conm/394/07431 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Branch rings, thinned rings, tree enveloping rings​
    Bartholdi, L. ​ (2006) 
    Israel Journal of Mathematics, 154 pp. 93​-139​.​ DOI: https://doi.org/10.1007/BF02773601 
    ​Details  DOI 
  • 2006 | Journal Article | 
    ​ ​The automorphism tower of groups acting on rooted trees​
    Bartholdi, L.   & Sidki, S. N.​ (2006) 
    Transactions of the American Mathematical Society, 358(1) pp. 329​-358​.​ DOI: https://doi.org/10.1090/S0002-9947-05-03712-8 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Preface [International Conference on Group Theory “Combinatorial, Geometric and Dynamical Aspects of Infinite Groups”]​
    Bartholdi, L. ; Ceccherini-Silberstein, T. G.; Smirnova-Nagnibeda, T. & Żuk, A.​ (2005) 
    International Journal of Algebra and Computation, 15(5-6).​
    ​Details 
  • 2005 | Journal Article
    ​ ​Amenability via random walks​
    Bartholdi, L.   & Virág, B.​ (2005) 
    Duke Mathematical Journal, 130(1) pp. 39​-56​.​ DOI: https://doi.org/10.1215/S0012-7094-05-13012-5 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Lie algebras and growth in branch groups​
    Bartholdi, L. ​ (2005) 
    Pacific Journal of Mathematics, 218(2) pp. 241​-282​.​ DOI: https://doi.org/10.2140/pjm.2005.218.241 
    ​Details  DOI 
  • 2005 | Anthology
    ​ ​Infinite groups: geometric, combinatorial and dynamical aspects​ ​(Vol. 248) 
    Bartholdi, L. ; Ceccherini-Silberstein, T. G.; Smirnova-Nagnibeda, T.& Zuk, A.​ (Eds.) (2005)
    Birkhäuser Verlag, Basel.
    ​Details 
  • 2005 | Journal Article
    ​ ​Spectral Computations on Lamplighter Groups and Diestel-Leader Graphs​
    Bartholdi, L.   & Woess, W.​ (2005) 
    The Journal of Fourier Analysis and Applications, 11(2) pp. 175​-202​.​ DOI: https://doi.org/10.1007/s00041-005-3079-0 
    ​Details  DOI 
  • 2004 | Book Chapter
    ​ ​Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs​
    Bartholdi, L. ​ (2004)
    In:​Kaimanovich, Vadim A.​ (Ed.), Random walks and geometry pp. 349​-361. ​Walter de Gruyter, Berlin.
    ​Details 
  • 2004 | Journal Article
    ​ ​The 2-dimension series of the just-nonsolvable BSV group​
    Bartholdi, L. ​ (2004) 
    New Zealand Journal of Mathematics, 33(1) pp. 17​-23​.​
    ​Details 
  • 2003 | Journal Article
    ​ ​Endomorphic presentations of branch groups​
    Bartholdi, L. ​ (2003) 
    Journal of Algebra, 268(2) pp. 419​-443​.​ DOI: https://doi.org/10.1016/S0021-8693(03)00268-0 
    ​Details  DOI 
  • 2003 | Book Chapter
    ​ ​Branch Groups​
    Bartholdi, L. ; Grigorchuk, R. I.& Šuniḱ, Z.​ (2003)
    In:​Hazewinkel, M.​ (Ed.), Handbook of Algebra pp. 989​-1112. (Vol. 3). ​Amsterdam: ​Elsevier. DOI: https://doi.org/10.1016/S1570-7954(03)80078-5 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​A Wilson group of non-uniformly exponential growth​
    Bartholdi, L. ​ (2003) 
    Comptes Rendus Mathematique, 336(7) pp. 549​-554​.​ DOI: https://doi.org/10.1016/S1631-073X(03)00131-6 
    ​Details  DOI 
  • 2003 | Book Chapter
    ​ ​From fractal groups to fractal sets​
    Bartholdi, L. ; Grigorchuk, R. I.& Nekrashevych, V.​ (2003)
    In:​Grabner, Peter; Woess, Wolfgang​ (Eds.), Fractals in Graz 2001: Analysis — Dynamics — Geometry — Stochastics pp. 25​-118. ​Birkhäuser, Basel.
    ​Details 
  • 2002 | Journal Article
    ​ ​On parabolic subgroups and Hecke algebras of some fractal groups​
    Bartholdi, L.   & Grigorchuk, R. I.​ (2002) 
    Serdica. Mathematical Journal. Serdika. Matematichesko Spisanie, 28(1) pp. 47​-90​.​
    ​Details 
  • 2002 | Journal Article
    ​ ​Salem numbers and growth series of some hyperbolic graphs​
    Bartholdi, L.   & Ceccherini-Silberstein, T. G.​ (2002) 
    Geometriae Dedicata, 90(1) pp. 107​-114​.​ DOI: https://doi.org/10.1023/A:1014902918849 
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​Growth Series and Random Walks on Some Hyperbolic Graphs​
    Bartholdi, L.   & Ceccherini-Silberstein, T. G.​ (2002) 
    Monatshefte für Mathematik, 136(3) pp. 181​-202​.​ DOI: https://doi.org/10.1007/s006050200043 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​Lower bounds on the growth of a group acting on the binary rooted tree​
    Bartholdi, L. ​ (2001) 
    International Journal of Algebra and Computation, 11(1) pp. 73​-88​.​ DOI: https://doi.org/10.1142/S0218196701000395 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​Sous-groupes paraboliques et représentations de groupes branchés​
    Bartholdi, L.   & Grigorchuk, R. I.​ (2001) 
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 332(9) pp. 789​-794​.​ DOI: https://doi.org/10.1016/S0764-4442(01)01946-2 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​On the word and period growth of some groups of tree automorphisms​
    Bartholdi, L.   & Šuniḱ, Z.​ (2001) 
    Communications in Algebra, 29(11) pp. 4923​-4964​.​ DOI: https://doi.org/10.1081/AGB-100106794 
    ​Details  DOI 
  • 2000 | Journal Article
    ​ ​Lamps, Factorizations, and Finite Fields​
    Bartholdi, L. ​ (2000) 
    The American Mathematical Monthly, 107(5) pp. 429​-436​.​ DOI: https://doi.org/10.2307/2695298 
    ​Details  DOI 
  • 2000 | Book Chapter
    ​ ​Lie Methods in Growth of Groups and Groups of Finite Width​
    Bartholdi, L.  & Grigorchuk, R. I.​ (2000)
    In:​Atkinson, Michael; Gilbert, Nick; Howie, James; Linton, Steve; Robertson, Edmund​ (Eds.), Computational and Geometric Aspects of Modern Algebra pp. 1​-27. ​Cambridge: ​Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511600609.002 
    ​Details  DOI 
  • 2000 | Journal Article
    ​ ​Spectra of non-commutative dynamical systems and graphs related to fractal groups​
    Bartholdi, L.   & Grigorchuk, R. I.​ (2000) 
    Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 331(6) pp. 429​-434​.​ DOI: https://doi.org/10.1016/S0764-4442(00)01658-X 
    ​Details  DOI 
  • 2000 | Book Chapter
    ​ ​On the spectrum of Hecke type operators related to some fractal groups​
    Bartholdi, L.  & Grigorchuk, R. I.​ (2000)
    In: Dynamical systems, automata, and infinite groups pp. 5​-45. ​Moscow: ​MAIK Nauka, Interperiodica Publ..
    ​Details 
  • 1999 | Journal Article
    ​ ​Counting paths in graphs​
    Bartholdi, L. ​ (1999) 
    L'Enseignement Mathématique. Revue Internationale. 2e Série, 45(1-2) pp. 83​-131​.​
    ​Details 
  • 1998 | Journal Article
    ​ ​The growth of Grigorchuk's torsion group​
    Bartholdi, L. ​ (1998) 
    International Mathematics Research Notices, 1998(20) pp. 1049​-1054​.​ DOI: https://doi.org/10.1155/S1073792898000622 
    ​Details  DOI 
  • 1997 | Journal Article
    ​ ​Estimates for simple random walks on fundamental groups of surfaces​
    Bartholdi, L. ; Cantat, S.; Ceccherini-Silberstein, T. G. & Harpe, P. de la​ (1997) 
    Colloquium Mathematicum, 72(1) pp. 173​-193​.​
    ​Details 

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