On problems related to growth, entropy, and spectrum in group theory

[1]  T. Nagnibeda An estimate from above of spectral radii of random walks on surface groups , 1999 .

[2]  M. Stoll On the asymptotics of the growth of 2-step nilpotent groups , 1998 .

[3]  A. Reid,et al.  Infinite Coxeter groups are virtually indicarle , 1998, Proceedings of the Edinburgh Mathematical Society.

[4]  Y. Shalom The Growth of Linear Groups , 1998 .

[5]  P. Harpe,et al.  Estimates for simple random walks on fundamental groups of surfaces , 2006, math/0612409.

[6]  Tatiana Nagnibeda,et al.  Complete growth functions of hyperbolic groups , 1997 .

[7]  Constantin Gonciulea Infinite Coxeter groups virtually surject onto $ \Bbb {Z} $ , 1997 .

[8]  Infinite commensurable hyperbolic groups are bi-Lipschitz equivalent , 1997 .

[9]  A. Zuk A remark on the norm of a random walk on surface groups , 1997 .

[10]  Andrzej Żuk,et al.  On the norms of the random walks on planar graphs , 1997 .

[11]  Sylvain Barré Sur les polyèdres de rang 2 , 1997 .

[12]  Constantin Gonciulea Infinite Coxeter groups virtually surject onto Z , 1997 .

[13]  Ricardo Ma né On the topological entropy of geodesic flows , 1997 .

[14]  Alain Valette,et al.  ON SPECTRA OF SIMPLE RANDOM WALKS ON ONE-RELATOR GROUPS , 1996 .

[15]  Michael Stoll,et al.  Rational and transcendental growth series for the higher Heisenberg groups , 1996 .

[16]  G. Besson,et al.  Minimal entropy and Mostow's rigidity theorems , 1996, Ergodic Theory and Dynamical Systems.

[17]  T. Delzant Sous-groupes distingués et quotients des groupes hyperboliques , 1996 .

[18]  A. Lubotzky Free quotients and the first betti number of some hyperbolic manifolds , 1996 .

[19]  David Easdown,et al.  Growth and existence of identities in a Class of Finitely Presented Inverse Semigroups with Zero , 1996, Int. J. Algebra Comput..

[20]  Весовые функции на группах и критерии аменабельности алгебр Берлинга@@@Weight functions on groups and an amenability criterion for Beurling algebras , 1996 .

[21]  Growth series for the commutator subgroup , 1996 .

[22]  Dynamics of spatially chaotic solutions of parabolic equations , 1995 .

[23]  J. Wiegold,et al.  A note on growth sequences of finite simple groups , 1995, Bulletin of the Australian Mathematical Society.

[24]  Michael Shapiro,et al.  Automatic structures, rational growth, and geometrically finite hyperbolic groups , 1994, math/9401201.

[25]  A V Babin Dynamics of spatially chaotic solutions of parabolic equations , 1995 .

[26]  M. Stoll Regular geodesic languages for 2-step nilpotent groups , 1995 .

[27]  V. A. Ufnarovskij Combinatorial and Asymptotic Methods in Algebra , 1995 .

[28]  Miklós Simonovits,et al.  A note on paradoxical metric spaces , 1995 .

[29]  Polyèdres finis de dimension 2 à courbure $\le 0$ et de rang 2 , 1995 .

[30]  A. Lubotzky Groups '93 Galway / St Andrews: Counting finite index subgroups , 1995 .

[31]  A. Rosenmann The normalized cyclomatic quotient associated with presentations of finitely generated groups , 1994, math/9412204.

[32]  L. Guillopé Entropies et spectres , 1994 .

[33]  Structure and rigidity in hyperbolic groups I , 1994 .

[34]  I. Chiswell The growth series of HNN extensions , 1994 .

[35]  Growth series for the group 〈x,y¦x−1yx=yl〉 , 1994 .

[36]  Wolfgang Woess,et al.  Random Walks on Infinite Graphs and Groups — a Survey on Selected topics , 1994 .

[37]  Growth functions for some nonautomatic Baumslag-Solitar groups , 1994 .

[38]  A. Rosenmann Cogrowth and essentiality in groups and algebras , 1993, math/9310204.

[39]  C. Champetier Cocroissance Des Groupes À Petite Simplification , 1993 .

[40]  Gilbert Baumslag,et al.  Topics in combinatorial group theory , 1993, Lectures in mathematics / ETH Zürich.

[41]  Laurent Saloff-Coste,et al.  Isopérimétrie pour les groupes et les variétés , 1993 .

[42]  Avinoam Mann,et al.  Finitely generated groups of polynomial subgroup growth , 1993 .

[43]  M. Coornaert Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov. , 1993 .

[44]  W. L. Paschke Lower bound for the norm of a vertex-transitive graph , 1993 .

[45]  Symmetries of planar growth functions. II , 1993 .

[46]  Alain Valette,et al.  On the spectrum of the sum of generators for a finitely generated group , 1993 .

[47]  W. Parry Growth Series of Coxeter Groups and Salem Numbers , 1993 .

[48]  Filippo Mignosi,et al.  Garden of Eden Configurations for Cellular Automata on Cayley Graphs of Groups , 1993, SIAM J. Discret. Math..

[49]  Nicholas T. Varopoulos,et al.  Analysis and Geometry on Groups , 1993 .

[50]  On the spectrum of the sum of generators of a finitely generated group, II , 1993 .

[51]  A. Lubotzky,et al.  Cyclic subgroups of exponential growth and metrics on discrete groups , 1993 .

[52]  Growth series of central amalgamations , 1993 .

[53]  Heinz Kredel,et al.  Gröbner Bases: A Computational Approach to Commutative Algebra , 1993 .

[54]  Bernd Sturmfels,et al.  Algorithms in invariant theory , 1993, Texts and monographs in symbolic computation.

[55]  G. Stuck Growth of homogenous spaces, density of discrete subgroups and Kazhdan's property (T) , 1992 .

[56]  Growth of planar Coxeter groups, P.V. numbers, and Salem numbers , 1992 .

[57]  James W. Cannon,et al.  Growth functions of surface groups , 1992 .

[58]  E. Kirchberg,et al.  OnC*-algebras having linear, polynomial and subexponential growth , 1992 .

[59]  W. Harvey,et al.  The growth series of the Gieseking group , 1992 .

[60]  M. Edjvet,et al.  The growth of certain amalgamated free products and HNN-extensions , 1992, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

[61]  Growth rates, _{}-homology, and volumes of hyperbolic 3-manifolds , 1992 .

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

[63]  L. Paris Complex growth series of Coxeter systems , 1992 .

[64]  David B. A. Epstein,et al.  Word processing in groups , 1992 .

[65]  Sam Northshield,et al.  Cogrowth of Regular Graphs , 1992 .

[66]  WILLIAM M. KANTOR Groups, Combinatorics & Geometry: Some topics in asymptotic group theory , 1992 .

[67]  A. Lubotzky,et al.  On groups of polynomial subgroup growth , 1991 .

[68]  D. L. Johnson,et al.  Rational growth of wreath products , 1991 .

[69]  J. M. Alonso Growth functions of amalgams , 1991 .

[70]  Jacques Lewin The growth function of some free products of groups , 1991 .

[71]  岩崎 克則,et al.  From Gauss to Painlevé : a modern theory of special functions : dedicated to Tosihusa Kimura , 1991 .

[72]  A. Haefliger,et al.  Group theory from a geometrical viewpoint , 1991 .

[73]  Masaaki Yoshida,et al.  From Gauss to Painlevé , 1991 .

[74]  Growth sequence of globally idemportent semigroups , 1990 .

[75]  É. Ghys,et al.  Sur Les Groupes Hyperboliques D'Apres Mikhael Gromov , 1990 .

[76]  A geometric approach to the almost convexity and growth of some nilpotent groups , 1989 .

[77]  P. K. Suetin,et al.  Linear Algebra and Geometry , 1989 .

[78]  A short proof of the Grigorchuk-Cohen cogrowth theorem , 1989 .

[79]  CLOSED GEODESICS, ASYMPTOTIC VOLUME, AND CHARACTERISTICS OF GROUP GROWTH , 1989 .

[80]  Jacques Lewin The growth function of a graph group , 1989 .

[81]  Frederick M. Goodman,et al.  Coxeter graphs and towers of algebras , 1989 .

[82]  William J. Floyd,et al.  Symmetries of planar growth functions , 1988 .

[83]  Gabor Moussong,et al.  Hyperbolic Coxeter groups , 1988 .

[84]  Walter Parry Counterexamples involving growth series and Euler characteristics , 1988 .

[85]  Douglas Lind,et al.  The automorphism group of a shift of finite type , 1988 .

[86]  M. Benson ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS , 1987 .

[87]  Wolfgang Woess,et al.  Context-free languages and random walks on groups , 1987, Discret. Math..

[88]  William J. Floyd,et al.  Growth functions on Fuchsian groups and the Euler characteristic , 1987 .

[89]  Roger C. Lyndon,et al.  PROBLEMS IN COMBINATORIAL GROUP THEORY , 1987 .

[90]  R. Stanley What Is Enumerative Combinatorics , 1986 .

[91]  M. Shubin PSEUDODIFFERENCE OPERATORS AND THEIR GREEN'S FUNCTIONS , 1986 .

[92]  I. Babenko Problems of growth and rationality in algebra and topology , 1986 .

[93]  R. Grigorchuk ON THE GROWTH DEGREES OF $ p$-GROUPS AND TORSION-FREE GROUPS , 1986 .

[94]  A finitely generated simple group with free 2-generated subgroups , 1986 .

[95]  Gilbert Hector,et al.  Introduction to the geometry of foliations , 1986 .

[96]  R. Grigorchuk Degrees of Growth of Finitely Generated Groups, and the Theory of Invariant Means , 1985 .

[97]  V. Trofimov,et al.  GRAPHS WITH POLYNOMIAL GROWTH , 1985 .

[98]  N. Billington Growth of groups and graded algebras: Erratum , 1985 .

[99]  Günter Krause,et al.  Growth of Algebras and Gelfand-Kirillov Dimension , 1985 .

[100]  Peter G. Doyle,et al.  Random Walks and Electric Networks: REFERENCES , 1987 .

[101]  N. Smythe Growth functions and Euler series , 1984 .

[102]  Alex Wilkie,et al.  Gromov's theorem on groups of polynomial growth and elementary logic , 1984 .

[103]  F. R. Gantmakher The Theory of Matrices , 1984 .

[104]  J. Cannon The combinatorial structure of cocompact discrete hyperbolic groups , 1984 .

[105]  Alex Wilkie,et al.  An effective bound for groups of linear growth , 1984 .

[106]  N. Billington Growth of groups and graded algebras , 1984 .

[107]  P. Pansu Croissance des boules et des géodésiques fermées dans les nilvariétés , 1983, Ergodic Theory and Dynamical Systems.

[108]  Wolfgang Woess,et al.  Cogrowth of groups and simple random walks , 1983 .

[109]  Vadim A. Kaimanovich,et al.  Random Walks on Discrete Groups: Boundary and Entropy , 1983 .

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

[111]  M. Benson Growth series of finite extensions of ℤn are rational , 1983 .

[112]  Groups with one more generator than relators , 1983 .

[113]  G. Pólya,et al.  Problems and theorems in analysis , 1983 .

[114]  Noriyuki Suwa A note on the fundamental group of a unirational variety , 1983 .

[115]  Wilhelm Magnus,et al.  The History of Combinatorial Group Theory: A Case Study in the History of Ideas , 1982 .

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

[117]  M. Gromov Volume and bounded cohomology , 1982 .

[118]  Wilhelm Magnus,et al.  The History of Combinatorial Group Theory , 1982 .

[119]  M. Gromov Groups of polynomial growth and expanding maps , 1981 .

[120]  Klarner A. Klarner Mathematical crystal growth I , 1981, Discret. Appl. Math..

[121]  Ulrich Hirsch,et al.  Introduction to the Geometry of Foliations, Part A , 1981 .

[122]  Mikhael Gromov Structures métriques pour les variétés riemanniennes , 1981 .

[123]  J. Tits Groupes à croissance polynomiale , 1981 .

[124]  A. Ol'shanskii,et al.  Communications of the Moscow Mathematical Society: on the Problem of the Existence of AN Invariant Mean on A GROUP , 1980 .

[125]  Grzegorz Rozenberg,et al.  The mathematical theory of L systems , 1980 .

[126]  A. Manning Topological entropy for geodesic flows , 1979 .

[127]  R. Grigorchuk Invariant measures on homogeneous spaces , 1979 .

[128]  Stephen J. Pride,et al.  Groups with two More Generators Than Relators , 1978 .

[129]  Arto Salomaa,et al.  Automata-Theoretic Aspects of Formal Power Series , 1978, Texts and Monographs in Computer Science.

[130]  R. Lyndon,et al.  Combinatorial Group Theory , 1977 .

[131]  G. Pólya,et al.  Theory of functions, zeros, polynomials, determinants, number theory, geometry , 1977 .

[132]  Shmuel Rosset A property of groups of non-exponential growth , 1976 .

[133]  Y. Guivarc’h Croissance polynomiale et périodes des fonctions harmoniques , 1973 .

[134]  Hyman Bass,et al.  The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups , 1972 .

[135]  Jacques Tits,et al.  Free subgroups in linear groups , 1972 .

[136]  Jean-Pierre Serre Cohomologie des groupes discrets , 1971 .

[137]  M. Schützenberger,et al.  Rational sets in commutative monoids , 1969 .

[138]  L. Carlitz,et al.  Advanced Problems: 5600-5609 , 1968 .

[139]  J. Milnor Growth of finitely generated solvable groups , 1968 .

[140]  J. Wolf Growth of finitely generated solvable groups and curvature of Riemannian manifolds , 1968 .

[141]  John Milnor,et al.  A note on curvature and fundamental group , 1968 .

[142]  A. Kirillov DYNAMICAL SYSTEMS, FACTORS AND REPRESENTATIONS OF GROUPS , 1967 .

[143]  W. Magnus,et al.  Combinatorial Group Theory: COMBINATORIAL GROUP THEORY , 1967 .

[144]  Louis Solomon,et al.  The orders of the finite Chevalley groups , 1966 .

[145]  William E. Pruitt,et al.  EIGENVALUES OF NON-NEGATIVE MATRICES' , 1964 .

[146]  Gilbert Baumslag,et al.  Some two-generator one-relator non-Hopfian groups , 1962 .

[147]  Harry Kesten,et al.  Full Banach Mean Values on Countable groups. , 1959 .

[148]  Harry Kesten,et al.  Symmetric random walks on groups , 1959 .

[149]  T. E. Harris Transient Markov chains with stationary measures , 1957 .

[150]  Erling Følner,et al.  On groups with full Banach mean value , 1955 .

[151]  J. Neumann Zur allgemeinen Theorie des Masses , 1929 .

[152]  P. Fatou Séries trigonométriques et séries de Taylor , 1906 .