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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 31, Number 2
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Frontiers in complex dynamics
Curtis T. McMullen PDF
Bull. Amer. Math. Soc. 31 (1994), 155-172
The flag-transitive tilde and Petersen-type geometries are all known
A. A. Ivanov and S. V. Shpectorov PDF
Bull. Amer. Math. Soc. 31 (1994), 173-184
The moment map for a multiplicity free action
Chal Benson, Joe Jenkins, Ronald L. Lipsman and Gail Ratcliff PDF
Bull. Amer. Math. Soc. 31 (1994), 185-190
Configuration spaces and the space of rational curves on a toric variety
M. A. Guest PDF
Bull. Amer. Math. Soc. 31 (1994), 191-196
Exceptional surgery on knots
S. Boyer and X. Zhang PDF
Bull. Amer. Math. Soc. 31 (1994), 197-203
An isoperimetric inequality related to Thue’s equation
Michael A. Bean PDF
Bull. Amer. Math. Soc. 31 (1994), 204-207
Singular continuous spectrum is generic
R. Del Rio, S. Jitomirskaya, N. Makarov and B. Simon PDF
Bull. Amer. Math. Soc. 31 (1994), 208-212
Zeta functions do not determine class numbers
Bart de Smit and Robert Perlis PDF
Bull. Amer. Math. Soc. 31 (1994), 213-215
A general decomposition theory for random cascades
Edward C. Waymire and Stanley C. Williams PDF
Bull. Amer. Math. Soc. 31 (1994), 216-222
Bounds on the tail probability of $U$-statistics and quadratic forms
Victor H. de la Peña and S. J. Montgomery-Smith PDF
Bull. Amer. Math. Soc. 31 (1994), 223-227
On the geometric and topological rigidity of hyperbolic 3-manifolds
David Gabai PDF
Bull. Amer. Math. Soc. 31 (1994), 228-232

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Measure theory, by J. L. Doob.
Reviewer: P. A. Meyer
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 233-235
Classes of linear operators, Volume 2, by S. Goldberg I. Gohberg, and M. A. Kaashoek.
Reviewer: Louis de Branges
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 236-243
Nilpotence and periodicity in stable homotopy theory, by Douglas C. Ravenel.
Reviewer: Peter S. Landweber
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 243-246
Mathematical elasticity. Vol. 1. Three-dimensional elasticity, by Phillippe Ciarlet.
Reviewer: R. J. Knops
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 246-252
The classification of knots and 3-dimensional spaces, by Geoffrey Hemion.
Reviewer: Abigail Thompson
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 252-254
Cohomological methods in transformation groups, by Christopher Allday and Volker Puppe.
Reviewer: Alejandro Adem
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 254-257
Complements of discriminants of smooth maps: Topology and applications, by V. A. Vassiliev.
Reviewer: Frederick R. Cohen
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 258-265
Clifford algebras and Dirac operators in harmonic analysis, by John E. Gilbert and Margaret A. M. Murray.
Reviewer: Ray A. Kunze
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Bull. Amer. Math. Soc. 31 (1994), 266-270
Harmonic analysis and represention theory for groups acting on homogeneous trees, by Alessandro Fig\`a-Talamanca and Claudio Nebbia.
Reviewer: Carl Herz
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 271-274
Fundamentals in the theory of operator algebras, III--IV. An exercise approach, by Richard V. Kadison and John R. Ringrose.
Reviewer: Gert K. Pedersen
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 275-277
An introduction to $\Gamma $-convergence, by Gianni Dal Maso.
Reviewer: Marco Avellaneda
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Bull. Amer. Math. Soc. 31 (1994), 277-283
Dynamical systems VIII (singularity theory II), classification and applications, by V. V. Goryunov V. I. Arnol\cprime d, O. V. Lyashko.
Reviewer: J. W. Bruce
Review information PDF
Bull. Amer. Math. Soc. 31 (1994), 283-288
Evolutionary integral equations and applications, by Jan Pr\"uss.
Reviewer: G. Da Prato
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Bull. Amer. Math. Soc. 31 (1994), 288-291
Wulff construction, A global shape from local interaction, by R. Kotecky R. Dobrushin, and S. Shlosman.
Reviewer: Jean E. Taylor
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Bull. Amer. Math. Soc. 31 (1994), 291-296
Oriented matroids, by M. Las Vergnas A. Bj\"orner, B. Sturnfels.
Reviewer: Walter Wenzel
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Bull. Amer. Math. Soc. 31 (1994), 296-297
Billiards. A genetic introduction to the dynamics of systems with impacts, by V. V. Kozlov and D. V. Treshchev.
Reviewer: Maciej P. Wojtkowski
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Bull. Amer. Math. Soc. 31 (1994), 298-301
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, by J. Palis and F. Takens.
Reviewer: John Franks
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Bull. Amer. Math. Soc. 31 (1994), 301-305
Dirac structures and integrability of nonlinear evolution equations, by Irene Dorfman.
Reviewer: Peter J. Olver
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Bull. Amer. Math. Soc. 31 (1994), 305-308
Contact geometry and linear differential equations, by V.\ Shatalov V.\ Nazaikinskii, and B.\ Y.\ Sternin.
Reviewer: Teresa Monteiro Fernandes
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Bull. Amer. Math. Soc. 31 (1994), 308-311
A course in computational algebraic number theory, by Henri Cohen.
Reviewer: Hale Trotter
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Bull. Amer. Math. Soc. 31 (1994), 312-318
Nonlinear potential theory of degenerate elliptic equations, by \break T.~Kilpel\"ainen J.~Heinonen, and O.~Martio.
Reviewer: Nicola Garofalo
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Bull. Amer. Math. Soc. 31 (1994), 318-327
Nearrings---geneses and applications, by James R. Clay.
Reviewer: G. Betsch
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Bull. Amer. Math. Soc. 31 (1994), 327-330
Mathematical control theory: An introduction, by Jerzy Zabczyk.
Reviewer: Raymond Rishel
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Bull. Amer. Math. Soc. 31 (1994), 330-332