On the cogrowth of Thompson's group F

Abstract. We investigate the cogrowth and distribution of geodesics in R. Thompson's group F.

[1]  David Revelle.  RATE OF ESCAPE OF RANDOM WALKS ON WREATH PRODUCTS AND RELATED GROUPS , 2003 .

[2]  Sean Cleary,et al.  Computational Explorations in Thompson’s Group F , 2007 .

[3]  Volker Diekert,et al.  On Computing Geodesics in Baumslag-Solitar Groups , 2011, Int. J. Algebra Comput..

[4]  Philippe Flajolet,et al.  AN INVITATION TO ANALYTIC COMBINATORICS , 2009 .

[5]  Philippe Flajolet,et al.  Analytic Combinatorics , 2009 .

[6]  Bruno Salvy,et al.  GFUN: a Maple package for the manipulation of generating and holonomic functions in one variable , 1994, TOMS.

[7]  T. Prellberg,et al.  Flat histogram version of the pruned and enriched Rosenbluth method. , 2004, Physical review letters.

[8]  Polymer Simulations with a Flat Histogram Stochastic Growth Algorithm , 2004, cond-mat/0402549.

[9]  Richard M. Wilson,et al.  A course in combinatorics , 1992 .

[10]  Murray Elder.  A linear-time algorithm to compute geodesics in solvable Baumslag–Solitar groups , 2010 .

[11]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[12]  A new metric criterion for non-amenability I , 2009, 0902.3849.

[13]  N. J. A. Sloane,et al.  The On-Line Encyclopedia of Integer Sequences , 2003, Electron. J. Comb..

[14]  Sean Cleary,et al.  Metric properties of the lamplighter group as an automata group , 2003 .

[15]  Dmitri Kouksov.  On rationality of the cogrowth series , 1998 .

[16]  Walter Parry,et al.  Growth series of some wreath products , 1992 .

[17]  James M. Belk,et al.  Forest Diagrams for Elements of Thompson's Group F , 2005, Int. J. Algebra Comput..

[18]  Joel M. Cohen.  Cogrowth and amenability of discrete groups , 1982 .

[19]  K. Dykema,et al.  Lower bounds for the spectral radii of adjacency operators on Baumslag-Solitar groups , 2010, 1006.0556.

[20]  S. I. Adyan,et al.  RANDOM WALKS ON FREE PERIODIC GROUPS , 1983 .

[21]  M. V. Sapir,et al.  Non-amenable finitely presented torsion-by-cyclic groups , 2001 .