



@article{ MR713968,
  author =           {Aleshin, S. V.},
  title =            {A free group of finite automata},
  journal =          {Vestnik Moskov. Univ. Ser. I Mat. Mekh.},
  number =           {4},
  year =             {1983},
  pages =            {12-14},
  fjournal =         {Vestnik    Moskovskogo    Universiteta.    Seriya   I.
                      Matematika, Mekhanika},
  issn =             {0201-7385},
  mrclass =          {68D30 (20E05)},
  mrnumber =         {MR713968 (84j:68035)},
  mrreviewer =       {Boris M. Schein},
  printedkey =       {Ale83}
}
@article{ MR1981466,
  author =           {Bartholdi, L.},
  title =            {A {W}ilson group of non-uniformly exponential growth},
  journal =          {C. R. Math. Acad. Sci. Paris},
  volume =           {336},
  number =           {7},
  year =             {2003},
  pages =            {549--554},
  fjournal =         {Comptes  Rendus  Math{\a'e}matique.  Acad{\a'e}mie des
                      Sciences. Paris},
  issn =             {1631-073X},
  mrclass =          {20F05},
  mrnumber =         {MR1981466 (2004c:20051)},
  mrreviewer =       {Stephen P. Humphries},
  printedkey =       {Bar03}
}
@article{ MR2176547,
  author =           {Bartholdi, L. and Vir{\a'a}g, B.},
  title =            {Amenability via random walks},
  journal =          {Duke Math. J.},
  volume =           {130},
  number =           {1},
  year =             {2005},
  pages =            {39--56},
  coden =            {DUMJAO},
  fjournal =         {Duke Mathematical Journal},
  issn =             {0012-7094},
  mrclass =          {43A07 (20P05 60G50)},
  mrnumber =         {MR2176547 (2006h:43001)},
  mrreviewer =       {Vydas {\v C}ekanavi{\v c}ius},
  printedkey =       {BV05}
}
@incollection{ MR2091700,
  author =           {Bartholdi,  L. and Grigorchuk, R. I. and Nekrashevych,
                      V.},
  booktitle =        {Fractals in Graz 2001},
  title =            {From fractal groups to fractal sets},
  publisher =        {Birkh{\"a}user},
  series =           {Trends Math.},
  address =          {Basel},
  year =             {2003},
  pages =            {25--118},
  mrclass =          {20E08 (05B45 20F65 28A80 37F50)},
  mrnumber =         {MR2091700 (2005h:20056)},
  mrreviewer =       {Richard Kenyon},
  printedkey =       {BGN03}
}
@incollection{ MR2035113,
  author =           {Bartholdi,   L.   and   Grigorchuk,   R.  I.  and  {\v
                      S}uni{\a'k}, Z.},
  booktitle =        {Handbook of algebra, Vol. 3},
  title =            {Branch groups},
  publisher =        {North-Holland},
  address =          {Amsterdam},
  year =             {2003},
  pages =            {989--1112},
  mrclass =          {20E08 (05C25 20F10 20F65 22D10 37B05 43A07 68Q70)},
  mrnumber =         {MR2035113 (2005f:20046)},
  mrreviewer =       {Tullio G. Ceccherini-Silberstein},
  printedkey =       {BG{\v S}03}
}
@article{ MR1856923,
  author =           {Bartholdi, L. and {\v S}uni{\a'k}, Z.},
  title =            {On  the  word and period growth of some groups of tree
                      automorphisms},
  journal =          {Comm. Algebra},
  volume =           {29},
  number =           {11},
  year =             {2001},
  pages =            {4923--4964},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092-7872},
  mrclass =          {20E08 (05C25 20F65)},
  mrnumber =         {MR1856923 (2002i:20040)},
  mrreviewer =       {S. Andreadakis},
  printedkey =       {B{\v S}01}
}
@article{ MR2009317,
  author =           {Bartholdi, L.},
  title =            {Endomorphic presentations of branch groups},
  journal =          {J. Algebra},
  volume =           {268},
  number =           {2},
  year =             {2003},
  pages =            {419--443},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021-8693},
  mrclass =          {20F05},
  mrnumber =         {MR2009317 (2004h:20044)},
  mrreviewer =       {Ilya Kapovich},
  printedkey =       {Bar03}
}
@article{ MR1899368,
  author =           {Bartholdi, L. and Grigorchuk, R. I.},
  title =            {On  parabolic  subgroups  and {H}ecke algebras of some
                      fractal groups},
  journal =          {Serdica Math. J.},
  volume =           {28},
  number =           {1},
  year =             {2002},
  pages =            {47--90},
  fjournal =         {Serdica. Mathematical Journal. Serdika. Matematichesko
                      Spisanie},
  issn =             {1310-6600},
  mrclass =          {20E08 (20C08)},
  mrnumber =         {MR1899368 (2003c:20027)},
  mrreviewer =       {S. Andreadakis},
  printedkey =       {BG02}
}
@article{ MR2194959,
  author =           {Bartholdi,  L. and Reznykov, I. I. and Sushchansky, V.
                      I.},
  title =            {The smallest {M}ealy automaton of intermediate growth},
  journal =          {J. Algebra},
  volume =           {295},
  number =           {2},
  year =             {2006},
  pages =            {387--414},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021-8693},
  mrclass =          {68Q45 (20M35 68Q70)},
  mrnumber =         {MR2194959 (2006i:68060)},
  mrreviewer =       {K. G. Peeva},
  printedkey =       {BRS06}
}
@unpublished{ 1003.1125,
  author =           {Bartholdi, L.},
  title =            {Self-similar Lie algebras},
  year =             {2010},
  note =             {arXiv:math/1003.1125},
  printedkey =       {Bar10}
}
@article{ MR0142635,
  author =           {Baumslag, G. and Solitar, D.},
  title =            {Some two-generator one-relator non-{H}opfian groups},
  journal =          {Bull. Amer. Math. Soc.},
  volume =           {68},
  year =             {1962},
  pages =            {199--201},
  mrclass =          {20.99},
  mrnumber =         {MR0142635 (26 \#204)},
  mrreviewer =       {B. H. Neumann},
  printedkey =       {BS62}
}
@article{ MR2043362,
  author =           {Bellingeri, P.},
  title =            {On presentations of surface braid groups},
  journal =          {J. Algebra},
  volume =           {274},
  number =           {2},
  year =             {2004},
  pages =            {543--563},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021-8693},
  mrclass =          {20F36},
  mrnumber =         {MR2043362 (2005a:20052)},
  mrreviewer =       {Darren D. Long},
  printedkey =       {Bel04}
}
@article{ MR3004256,
  author =           {Begue,  M.  and  Kelleher,  D.  J.  and Nelson, A. and
                      Panzo, H. and Pellico, R. and Teplyaev, A.},
  title =            {Random  walks  on  barycentric  subdivisions  and  the
                      {S}trichartz hexacarpet},
  journal =          {Exp. Math.},
  volume =           {21},
  number =           {4},
  year =             {2012},
  pages =            {402--417},
  fjournal =         {Experimental Mathematics},
  issn =             {1058-6458},
  mrclass =          {60G50 (28A80 60J60)},
  mrnumber =         {3004256},
  mrreviewer =       {Ren\texttt{\symbol{123}}\texttt{\symbol{92}}'e\texttt{\symbol{125}}
                      L. Schilling},
  printedkey =       {BKNPPT12}
}
@article{ MR1149891,
  author =           {Bielefeld, B. and Fisher, Y. and Hubbard, J.},
  title =            {The    classification    of   critically   preperiodic
                      polynomials as dynamical systems},
  journal =          {J. Amer. Math. Soc.},
  volume =           {5},
  number =           {4},
  year =             {1992},
  pages =            {721--762},
  fjournal =         {Journal of the American Mathematical Society},
  issn =             {0894-0347},
  mrclass =          {58F23 (30D05)},
  mrnumber =         {MR1149891 (93h:58128)},
  mrreviewer =       {Feliks Przytycki},
  printedkey =       {BFH92}
}
@article{ MR1656573,
  author =           {Brunner, A. M. and Sidki, S. N. and Vieira, A. C.},
  title =            {A  just  nonsolvable torsion-free group defined on the
                      binary tree},
  journal =          {J. Algebra},
  volume =           {211},
  number =           {1},
  year =             {1999},
  pages =            {99--114},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021-8693},
  mrclass =          {20E08},
  mrnumber =         {MR1656573 (99m:20054)},
  mrreviewer =       {Olympia Talelli},
  printedkey =       {BSV99}
}
@article{ MR1314589,
  author =           {Charney, R.},
  title =            {Geodesic  automation  and growth functions for {A}rtin
                      groups of finite type},
  journal =          {Math. Ann.},
  volume =           {301},
  number =           {2},
  year =             {1995},
  pages =            {307--324},
  coden =            {MAANA},
  fjournal =         {Mathematische Annalen},
  issn =             {0025-5831},
  mrclass =          {20F32 (20F10 20F36)},
  mrnumber =         {MR1314589 (95k:20055)},
  mrreviewer =       {Susan Hermiller},
  printedkey =       {Cha95}
}
@incollection{ MR2140091,
  author =           {Dahmani, F.},
  booktitle =        {Geometric methods in group theory},
  title =            {An  example of non-contracting weakly branch automaton
                      group},
  publisher =        {Amer. Math. Soc.},
  series =           {Contemp. Math.},
  volume =           {372},
  address =          {Providence, RI},
  year =             {2005},
  pages =            {219--224},
  mrclass =          {20E08},
  mrnumber =         {MR2140091 (2006b:20037)},
  mrreviewer =       {Laurent Bartholdi},
  printedkey =       {Dah05}
}
@book{ MR762431,
  author =           {Douady, A. and Hubbard, J. H.},
  title =            {{{\a'E}}tude  dynamique  des  polyn{\^o}mes complexes.
                      {P}artie {I}},
  publisher =        {Universit{\a'e}   de  Paris-Sud,  D{\a'e}partement  de
                      Math{\a'e}matiques, Orsay},
  series =           {Publications  Math{\a'e}matiques d'Orsay [Mathematical
                      Publications of Orsay]},
  volume =           {84},
  year =             {1984},
  pages =            {75},
  mrclass =          {58F08 (30D05 39B10)},
  mrnumber =         {MR762431 (87f:58072a)},
  mrreviewer =       {M. Rees},
  printedkey =       {DH84}
}
@book{ MR812271,
  author =           {Douady, A. and Hubbard, J. H.},
  title =            {{{\a'E}}tude  dynamique  des  polyn{\^o}mes complexes.
                      {P}artie {II}},
  publisher =        {Universit{\a'e}   de  Paris-Sud,  D{\a'e}partement  de
                      Math{\a'e}matiques, Orsay},
  series =           {Publications  Math{\a'e}matiques d'Orsay [Mathematical
                      Publications of Orsay]},
  volume =           {85},
  year =             {1985},
  pages =            {v+154},
  note =             {With  the  collaboration of P. Lavaurs, Tan Lei and P.
                      Sentenac},
  mrclass =          {58F08 (30D05 39B10)},
  mrnumber =         {MR812271 (87f:58072b)},
  mrreviewer =       {M. Rees},
  printedkey =       {DH85}
}
@article{ MR2144977,
  author =           {Erschler, A.},
  title =            {Boundary behavior for groups of subexponential growth},
  journal =          {Ann. of Math. (2)},
  volume =           {160},
  number =           {3},
  year =             {2004},
  pages =            {1183--1210},
  coden =            {ANMAAH},
  fjournal =         {Annals of Mathematics. Second Series},
  issn =             {0003-486X},
  mrclass =          {20F65 (20F05 20P05 60G50)},
  mrnumber =         {MR2144977 (2006d:20072)},
  mrreviewer =       {Anders Karlsson},
  printedkey =       {Ers04}
}
@article{ MR1153150,
  author =           {Fabrykowski, J. and Gupta, N.},
  title =            {On groups with sub-exponential growth functions. {II}},
  journal =          {J. Indian Math. Soc. (N.S.)},
  volume =           {56},
  number =           {1-4},
  year =             {1991},
  pages =            {217--228},
  coden =            {JIMTA2},
  fjournal =         {The  Journal  of  the Indian Mathematical Society. New
                      Series},
  issn =             {0019-5839},
  mrclass =          {20E99 (20F05 20F19)},
  mrnumber =         {MR1153150 (93g:20053)},
  mrreviewer =       {Martha K. Smith},
  printedkey =       {FG91}
}
@article{ MR942349,
  author =           {Fabrykowski, J. and Gupta, N.},
  title =            {On groups with sub-exponential growth functions},
  journal =          {J. Indian Math. Soc. (N.S.)},
  volume =           {49},
  number =           {3-4},
  year =             {1985},
  pages =            {249--256 (1987)},
  coden =            {JIMTA2},
  fjournal =         {The  Journal  of  the Indian Mathematical Society. New
                      Series},
  issn =             {0019-5839},
  mrclass =          {20E99 (20F05 20F19)},
  mrnumber =         {MR942349 (90e:20029)},
  mrreviewer =       {Martha K. Smith},
  printedkey =       {FG85}
}
@article{ MR565099,
  author =           {Grigorchuk, R. I.},
  title =            {On {B}urnside's problem on periodic groups},
  journal =          {Funktsional. Anal. i Prilozhen.},
  volume =           {14},
  number =           {1},
  year =             {1980},
  pages =            {53--54},
  fjournal =         {Akademiya Nauk SSSR. Funktsional'ny{\u\i} Analiz i ego
                      Prilozheniya},
  issn =             {0374-1990},
  mrclass =          {20F05},
  mrnumber =         {MR565099 (81m:20045)},
  mrreviewer =       {N. S. Chernikov},
  printedkey =       {Gri80}
}
@article{ MR764305,
  author =           {Grigorchuk, R. I.},
  title =            {Degrees of growth of finitely generated groups and the
                      theory of invariant means},
  journal =          {Izv. Akad. Nauk SSSR Ser. Mat.},
  volume =           {48},
  number =           {5},
  year =             {1984},
  pages =            {939--985},
  fjournal =         {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  issn =             {0373-2436},
  mrclass =          {20F05 (43A07)},
  mrnumber =         {MR764305 (86h:20041)},
  mrreviewer =       {P. Gerl},
  printedkey =       {Gri84}
}
@article{ MR1902367,
  author =           {Grigorchuk, R. I. and {\.Z}uk, A.},
  title =            {On  a  torsion-free  weakly  branch group defined by a
                      three state automaton},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {12},
  number =           {1-2},
  year =             {2002},
  pages =            {223--246},
  note =             {International     Conference    on    Geometric    and
                      Combinatorial  Methods  in  Group Theory and Semigroup
                      Theory (Lincoln, NE, 2000)},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {20F69 (20E08 68Q70)},
  mrnumber =         {MR1902367 (2003c:20048)},
  mrreviewer =       {Laurent Bartholdi},
  printedkey =       {G{\.Z}02}
}
@article{ MR2217913,
  author =           {Grigorchuk, R. I. and {\v S}uni{\a'k}, Z.},
  title =            {Asymptotic  aspects  of  {S}chreier graphs and {H}anoi
                      {T}owers groups},
  journal =          {C. R. Math. Acad. Sci. Paris},
  volume =           {342},
  number =           {8},
  year =             {2006},
  pages =            {545--550},
  fjournal =         {Comptes  Rendus  Math{\a'e}matique.  Acad{\a'e}mie des
                      Sciences. Paris},
  issn =             {1631-073X},
  mrclass =          {20E08},
  mrnumber =         {MR2217913},
  printedkey =       {G{\v S}06}
}
@article{ MR1902367,
  author =           {Grigorchuk, R. I. and {\.Z}uk, A.},
  title =            {On  a  torsion-free  weakly  branch group defined by a
                      three state automaton},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {12},
  number =           {1-2},
  year =             {2002},
  pages =            {223--246},
  note =             {International     Conference    on    Geometric    and
                      Combinatorial  Methods  in  Group Theory and Semigroup
                      Theory (Lincoln, NE, 2000)},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {20F69 (20E08 68Q70)},
  mrnumber =         {MR1902367 (2003c:20048)},
  mrreviewer =       {Laurent Bartholdi},
  printedkey =       {G{\.Z}02}
}
@article{ MR819415,
  author =           {Lys{\"e}nok, I. G.},
  title =            {A set of defining relations for the {G}rigorchuk group},
  journal =          {Mat. Zametki},
  volume =           {38},
  number =           {4},
  year =             {1985},
  pages =            {503--516, 634},
  fjournal =         {Akademiya Nauk SSSR. Matematicheskie Zametki},
  issn =             {0025-567X},
  mrclass =          {20F05},
  mrnumber =         {MR819415 (87g:20062)},
  mrreviewer =       {J. Mennicke},
  printedkey =       {Lys85}
}
@article{ MR696534,
  author =           {Gupta, N. and Sidki, S. N.},
  title =            {On the {B}urnside problem for periodic groups},
  journal =          {Math. Z.},
  volume =           {182},
  number =           {3},
  year =             {1983},
  pages =            {385--388},
  coden =            {MAZEAX},
  fjournal =         {Mathematische Zeitschrift},
  issn =             {0025-5874},
  mrclass =          {20F50},
  mrnumber =         {MR696534 (84g:20075)},
  mrreviewer =       {Seymour Bachmuth},
  printedkey =       {GS83}
}
@article{ MR1415237,
  author =           {Lyons, R. and Pemantle, R. and Peres, Y.},
  title =            {Random walks on the lamplighter group},
  journal =          {Ann. Probab.},
  volume =           {24},
  number =           {4},
  year =             {1996},
  pages =            {1993--2006},
  coden =            {APBYAE},
  fjournal =         {The Annals of Probability},
  issn =             {0091-1798},
  mrclass =          {60B15 (60J15)},
  mrnumber =         {MR1415237 (97j:60014)},
  mrreviewer =       {Donald I. Cartwright},
  printedkey =       {LPP96}
}
@article{ MR1841119,
  author =           {Macedo{\a'n}ska,   O.  and  Nekrashevych,  V.  V.  and
                      Sushchansky, V. I.},
  title =            {Commensurators of groups and reversible automata},
  journal =          {Dopov.  Nats.  Akad.  Nauk  Ukr. Mat. Prirodozn. Tekh.
                      Nauki},
  number =           {12},
  year =             {2000},
  pages =            {36--39},
  fjournal =         {Dopov{\a=\i}pd{\a=\i}         Nats{\a=\i}onal'no{\"\i}
                      Akadem{\a=\i}{\"\i}   Nauk  Ukra{\"\i}ni.  Matematika.
                      Prirodoznavstvo. Tekhn{\a=\i}chn{\a=\i} Nauki},
  issn =             {1025-6415},
  mrclass =          {20E26 (68Q70)},
  mrnumber =         {MR1841119},
  printedkey =       {MNS00}
}
@article{ MR2130844,
  author =           {Mamaghani, M. J.},
  title =            {A  class  of two generated automaton groups on a three
                      letter alphabet},
  journal =          {Bull. Iranian Math. Soc.},
  volume =           {30},
  number =           {1},
  year =             {2004},
  pages =            {31--51, 92},
  fjournal =         {Iranian Mathematical Society. Bulletin},
  issn =             {1017-060X},
  mrclass =          {20E08 (68Q70)},
  mrnumber =         {MR2130844 (2005m:20062)},
  mrreviewer =       {Laurent Bartholdi},
  printedkey =       {Mam04}
}
@article{ MR2139928,
  author =           {Mamaghani, M. J.},
  title =            {A fractal non-contracting class of automata groups},
  journal =          {Bull. Iranian Math. Soc.},
  volume =           {29},
  number =           {2},
  year =             {2003},
  pages =            {51--64, 92},
  fjournal =         {Iranian Mathematical Society. Bulletin},
  issn =             {1017-060X},
  mrclass =          {20E08 (20F65)},
  mrnumber =         {MR2139928 (2006c:20055)},
  mrreviewer =       {Olympia Talelli},
  printedkey =       {Mam03}
}
@book{ MR2162164,
  author =           {Nekrashevych, V.},
  title =            {Self-similar groups},
  publisher =        {American Mathematical Society},
  series =           {Mathematical Surveys and Monographs},
  volume =           {117},
  address =          {Providence, RI},
  year =             {2005},
  pages =            {xii+231},
  isbn =             {0-8218-3831-8},
  mrclass =          {20E08 (20F65 37B15 37F10)},
  mrnumber =         {MR2162164 (2006e:20047)},
  mrreviewer =       {Laurent Bartholdi},
  printedkey =       {Nek05}
}
@article{ MR840129,
  author =           {Neumann, P. M.},
  title =            {Some  questions of {E}djvet and {P}ride about infinite
                      groups},
  journal =          {Illinois J. Math.},
  volume =           {30},
  number =           {2},
  year =             {1986},
  pages =            {301--316},
  coden =            {IJMTAW},
  fjournal =         {Illinois Journal of Mathematics},
  issn =             {0019-2082},
  mrclass =          {20E15 (20E22)},
  mrnumber =         {MR840129 (88a:20039)},
  mrreviewer =       {John S. Wilson},
  printedkey =       {Neu86}
}
@misc{ math.DS/9305207,
  author =           {Poirier, A.},
  title =            {{On   postcritically   finite   polynomials,  part  1:
                      critical portraits}},
  howpublished =     {Stony Brook IMS 1993/5},
  eprint =           {arXiv:math.DS/9305207},
  printedkey =       {Poi}
}
@article{ MR2197829,
  author =           {Silva, P. V. and Steinberg, B.},
  title =            {On a class of automata groups generalizing lamplighter
                      groups},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {15},
  number =           {5-6},
  year =             {2005},
  pages =            {1213--1234},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {20F65 (68Q70)},
  mrnumber =         {MR2197829},
  printedkey =       {SS05}
}
@unpublished{ 0610033,
  author =           {Steinberg, B. and Vorobets, M. and Vorobets, Y.},
  title =            {Automata over a binary alphabet generating free groups
                      of even rank},
  year =             {2006},
  note =             {arXiv:math.GR/0610033},
  printedkey =       {SVV06}
}
@unpublished{ tan:database,
  author =           {Tan, D. T.},
  title =            {Quadratische Morphismen},
  year =             {2002},
  note =             {Diplomarbeit at ETHZ, under the supervision of R. Pink},
  printedkey =       {Tan02}
}
@article{ MR2318547,
  author =           {Vorobets, M. and Vorobets, Y.},
  title =            {On  a  free  group  of  transformations  defined by an
                      automaton},
  journal =          {Geom. Dedicata},
  volume =           {124},
  year =             {2007},
  pages =            {237--249},
  coden =            {GEMDAT},
  fjournal =         {Geometriae Dedicata},
  issn =             {0046-5755},
  mrclass =          {20E05 (20E08)},
  mrnumber =         {MR2318547 (2008i:20030)},
  mrreviewer =       {Daniel P. Groves},
  url =              {https://doi.org/10.1007/s10711-006-9060-5},
  doi =              {10.1007/s10711-006-9060-5},
  printedkey =       {VV07}
}
@unpublished{ 0604328,
  author =           {Vorobets, M. and Vorobets, Y.},
  title =            {On   a   series   of  finite  automata  defining  free
                      transformation groups},
  year =             {2006},
  note =             {arXiv:math.GR/0604328},
  printedkey =       {VV06}
}
@unpublished{ 0810.4936,
  author =           {Nekrashevych, V.},
  title =            {Combinatorial models of expanding dynamical systems},
  year =             {2008},
  note =             {arXiv:math.GR/0810.4936},
  printedkey =       {Nek08}
}
@unpublished{ 0811.2777,
  author =           {Nekrashevych, V.},
  title =            {The Julia set of a post-critically finite endomorphism
                      of PC\texttt{\symbol{94}}2},
  year =             {2008},
  note =             {arXiv:math.GR/0811.2777},
  printedkey =       {Nek08}
}
@article{ MR1839488,
  author =           {Burger, M. and Mozes, S.},
  title =            {Groups acting on trees: from local to global structure},
  journal =          {Inst. Hautes {\a'E}tudes Sci. Publ. Math.},
  number =           {92},
  year =             {2000},
  pages =            {113--150 (2001)},
  coden =            {PMIHA6},
  fjournal =         {Institut   des   Hautes   {\a'E}tudes   Scientifiques.
                      Publications Math{\a'e}matiques},
  issn =             {0073-8301},
  mrclass =          {20E08},
  mrnumber =         {MR1839488 (2002i:20041)},
  mrreviewer =       {Alexander Lubotzky},
  printedkey =       {BM00}
}
@article{ MR1839489,
  author =           {Burger, M. and Mozes, S.},
  title =            {Lattices in product of trees},
  journal =          {Inst. Hautes {\a'E}tudes Sci. Publ. Math.},
  number =           {92},
  year =             {2000},
  pages =            {151--194 (2001)},
  coden =            {PMIHA6},
  fjournal =         {Institut   des   Hautes   {\a'E}tudes   Scientifiques.
                      Publications Math{\a'e}matiques},
  issn =             {0073-8301},
  mrclass =          {20E08 (22E40)},
  mrnumber =         {MR1839489 (2002i:20042)},
  mrreviewer =       {Alexander Lubotzky},
  printedkey =       {BM00}
}
@article{ MR2155175,
  author =           {Glasner, Y. and Mozes, S.},
  title =            {Automata and square complexes},
  journal =          {Geom. Dedicata},
  volume =           {111},
  year =             {2005},
  pages =            {43--64},
  coden =            {GEMDAT},
  fjournal =         {Geometriae Dedicata},
  issn =             {0046-5755},
  mrclass =          {20M35 (20E08 20F05 37B10 37B15)},
  mrnumber =         {MR2155175 (2006g:20112)},
  mrreviewer =       {Alain Valette},
  printedkey =       {GM05}
}
@article{ MR2318546,
  author =           {{\v S}uni{\a'c}, Z.},
  title =            {Hausdorff dimension in a family of self-similar groups},
  journal =          {Geom. Dedicata},
  volume =           {124},
  year =             {2007},
  pages =            {213--236},
  coden =            {GEMDAT},
  fjournal =         {Geometriae Dedicata},
  issn =             {0046-5755},
  mrclass =          {20E08 (20E18 20F50 20F69)},
  mrnumber =         {MR2318546},
  printedkey =       {{\v S}un07}
}
@article{ vneumann,
  author =           {von Neumann, J.},
  title =            {Zur allgemeinen {Theorie} des {Masses}},
  journal =          {Fund. Math.},
  volume =           {13},
  year =             {1929},
  pages =            {73--116 and 333},
  note =             {(= Collected works, vol. I, pages 599--643)},
  printedkey =       {vN29}
}
@article{ MR1446574,
  author =           {Burger, M. and Mozes, S.},
  title =            {Finitely presented simple groups and products of trees},
  journal =          {C. R. Acad. Sci. Paris S{\a'e}r. I Math.},
  volume =           {324},
  number =           {7},
  year =             {1997},
  pages =            {747--752},
  coden =            {CASMEI},
  fjournal =         {Comptes   Rendus   de  l'Acad{\a'e}mie  des  Sciences.
                      S{\a'e}rie I. Math{\a'e}matique},
  issn =             {0764-4442},
  mrclass =          {20E08 (20E32)},
  mrnumber =         {MR1446574 (98g:20041)},
  mrreviewer =       {Olympia Talelli},
  printedkey =       {BM97}
}
@article{ MR1774362,
  author =           {Sidki, S. N.},
  title =            {Automorphisms  of  one-rooted  trees:  growth, circuit
                      structure, and acyclicity},
  journal =          {J. Math. Sci. (New York)},
  volume =           {100},
  number =           {1},
  year =             {2000},
  pages =            {1925--1943},
  note =             {Algebra, 12},
  coden =            {JMTSEW},
  fjournal =         {Journal of Mathematical Sciences (New York)},
  issn =             {1072-3374},
  mrclass =          {05C25 (05C45 68Q45)},
  mrnumber =         {MR1774362 (2002g:05100)},
  printedkey =       {Sid00}
}
@article{ MR1995624,
  author =           {Sidki, S. N. and Wilson, J. S.},
  title =            {Free subgroups of branch groups},
  journal =          {Arch. Math. (Basel)},
  volume =           {80},
  number =           {5},
  year =             {2003},
  pages =            {458--463},
  coden =            {ACVMAL},
  fjournal =         {Archiv der Mathematik},
  issn =             {0003-889X},
  mrclass =          {20E08 (20E22)},
  mrnumber =         {MR1995624 (2004g:20038)},
  mrreviewer =       {Vincent Guirardel},
  printedkey =       {SW03}
}
@article{ MR2197828,
  author =           {Sidki, S. N.},
  title =            {Tree-wreathing  applied  to  generation  of  groups by
                      finite automata},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {15},
  number =           {5-6},
  year =             {2005},
  pages =            {1205--1212},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {20E08 (20E22 20F10)},
  mrnumber =         {MR2197828 (2007f:20048)},
  mrreviewer =       {Armando Martino},
  printedkey =       {Sid05}
}
@article{ MR2390328,
  author =           {Shestakov, I. P. and Zelmanov, E.},
  title =            {Some examples of nil {L}ie algebras},
  journal =          {J. Eur. Math. Soc. (JEMS)},
  volume =           {10},
  number =           {2},
  year =             {2008},
  pages =            {391--398},
  fjournal =         {Journal of the European Mathematical Society (JEMS)},
  issn =             {1435-9855},
  mrclass =          {17B65},
  mrnumber =         {MR2390328},
  printedkey =       {SZ08}
}
@article{ MR2293788,
  author =           {Petrogradsky, V. M.},
  title =            {Examples of self-iterating {L}ie algebras},
  journal =          {J. Algebra},
  volume =           {302},
  number =           {2},
  year =             {2006},
  pages =            {881--886},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021-8693},
  mrclass =          {17B50 (17B40)},
  mrnumber =         {MR2293788 (2008b:17029)},
  mrreviewer =       {Marin\texttt{\symbol{123}}\texttt{\symbol{92}}\texttt{\symbol{94}}e\texttt{\symbol{125}}s
                      Guerreiro},
  printedkey =       {Pet06}
}
@article{ MR1672176,
  author =           {Renka, R. J.},
  title =            {Algorithm  772:  {STRIPACK}:  {D}elaunay triangulation
                      and {V}oronoi diagram on the surface of a sphere},
  journal =          {ACM Trans. Math. Software},
  volume =           {23},
  number =           {3},
  year =             {1997},
  pages =            {416--434},
  coden =            {ACMSCU},
  fjournal =         {Association  for  Computing Machinery. Transactions on
                      Mathematical Software},
  issn =             {0098-3500},
  mrclass =          {65Y15},
  mrnumber =         {MR1672176},
  printedkey =       {Ren97}
}
@incollection{ MR1315537,
  author =           {Hubbard, J. H. and Schleicher, D.},
  booktitle =        {Complex dynamical systems ({C}incinnati, {OH}, 1994)},
  title =            {The spider algorithm},
  publisher =        {Amer. Math. Soc.},
  series =           {Proc. Sympos. Appl. Math.},
  volume =           {49},
  address =          {Providence, RI},
  year =             {1994},
  pages =            {155--180},
  mrclass =          {58F23 (30D05)},
  mrnumber =         {MR1315537},
  printedkey =       {HS94}
}
@phdthesis{ Rattaggi,
  author =           {Rattaggi, D.},
  title =            {Computations  in  Groups Acting on a Product of Trees:
                      Normal Subgroup Structures and Quaternion Lattices},
  school =           {Eidgen{\"o}ssische Technische Hochschule Z{\"u}rich},
  year =             {2004},
  printedkey =       {Rat04}
}
@article{ MR2254535,
  author =           {Bartholdi, L.},
  title =            {Branch rings, thinned rings, tree enveloping rings},
  journal =          {Israel J. Math.},
  volume =           {154},
  year =             {2006},
  pages =            {93--139},
  coden =            {ISJMAP},
  fjournal =         {Israel Journal of Mathematics},
  issn =             {0021-2172},
  mrclass =          {20E08 (16S34 17B50)},
  mrnumber =         {MR2254535 (2007k:20051)},
  mrreviewer =       {Tullio G. Ceccherini-Silberstein},
  printedkey =       {Bar06}
}
@article{ MR2394721,
  author =           {Bartholdi, L. and Reznykov, I. I.},
  title =            {A {M}ealy machine with polynomial growth of irrational
                      degree},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {18},
  number =           {1},
  year =             {2008},
  pages =            {59--82},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {68Q45 (68Q42)},
  mrnumber =         {MR2394721 (2009b:68087)},
  printedkey =       {BR08}
}
@article{ MR1423285,
  author =           {Sidki, S. N.},
  title =            {A   primitive   ring   associated   to   a  {B}urnside
                      {$3$}-group},
  journal =          {J. London Math. Soc. (2)},
  volume =           {55},
  number =           {1},
  year =             {1997},
  pages =            {55--64},
  coden =            {JLMSAK},
  fjournal =         {Journal  of  the  London  Mathematical Society. Second
                      Series},
  issn =             {0024-6107},
  mrclass =          {16D60 (16S34 20F50)},
  mrnumber =         {MR1423285 (97m:16006)},
  mrreviewer =       {Edmund                                              R.
                      Puczy\texttt{\symbol{123}}\texttt{\symbol{92}}l\texttt{\symbol{125}}owski},
  printedkey =       {Sid97}
}
@article{ MR2483125,
  author =           {Bartholdi, L. and Eick, B. and Hartung, R.},
  title =            {A  nilpotent quotient algorithm for certain infinitely
                      presented groups and its applications},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {18},
  number =           {8},
  year =             {2008},
  pages =            {1321--1344},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {20-04 (20F18)},
  mrnumber =         {MR2483125},
  printedkey =       {BEH08}
}
@article{ MR2422072,
  author =           {Bacher, R.},
  title =            {Determinants  related to {D}irichlet characters modulo
                      2, 4 and 8 of binomial coefficients and the algebra of
                      recurrence matrices},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {18},
  number =           {3},
  year =             {2008},
  pages =            {535--566},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218-1967},
  mrclass =          {15A15 (11B65)},
  mrnumber =         {MR2422072 (2009c:15006)},
  mrreviewer =       {Ravindra B. Bapat},
  printedkey =       {Bac08}
}
@misc{ PSZ,
  author =           {Petrogradsky, V. and Shestakov, I. and Zelmanov, E.},
  title =            {{Nil graded self-similar algebras}},
  howpublished =     {Submitted},
  printedkey =       {PSZ}
}
@article{ MR2121737,
  author =           {Springborn, B. A.},
  title =            {A   unique   representation   of   polyhedral   types.
                      {C}entering      via     {M}\texttt{\symbol{92}}"obius
                      transformations},
  journal =          {Math. Z.},
  volume =           {249},
  number =           {3},
  year =             {2005},
  pages =            {513--517},
  coden =            {MAZEAX},
  fjournal =         {Mathematische Zeitschrift},
  issn =             {0025-5874},
  mrclass =          {52B10},
  mrnumber =         {2121737 (2005k:52022)},
  mrreviewer =       {Ivan Soprunov},
  url =              {https://doi.org/10.1007/s00209-004-0713-5},
  doi =              {10.1007/s00209-004-0713-5},
  printedkey =       {Spr05}
}
@article{ MR3054572,
  author =           {Bondarenko,  I. V. and Bondarenko, N. V. and Sidki, S.
                      N. and Zapata, F. R.},
  title =            {On    the    conjugacy    problem   for   finite-state
                      automorphisms of regular rooted trees},
  journal =          {Groups Geom. Dyn.},
  volume =           {7},
  number =           {2},
  year =             {2013},
  pages =            {323--355},
  note =             {With             an             appendix            by
                      Rapha\texttt{\symbol{123}}\texttt{\symbol{92}}"e\texttt{\symbol{125}}l
                      M. Jungers},
  fjournal =         {Groups, Geometry, and Dynamics},
  issn =             {1661-7207},
  mrclass =          {20E08 (20F10)},
  mrnumber =         {3054572},
  mrreviewer =       {Fran\texttt{\symbol{123}}\texttt{\symbol{92}}c\texttt{\symbol{123}}c\texttt{\symbol{125}}\texttt{\symbol{125}}ois
                      Dahmani},
  url =              {https://doi.org/10.4171/GGD/184},
  doi =              {10.4171/GGD/184},
  printedkey =       {BBSZ13}
}
