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American Mathematical Society. Bulletin, New Series, of the American Mathematical Society 1993: Vol 29 Index PDF

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Preview American Mathematical Society. Bulletin, New Series, of the American Mathematical Society 1993: Vol 29 Index

VOLUME 29 ULLETIN ( N E W SERIES ) OF THE AMERICAN MATHEMATICAL SOCIETY EDITORS Haynes R. Miller, Research Announcements Richard S. Palais, Research-Expository Papers Murray H. Protter, Book Reviews ASSOCIATE EDITORS John Baez Zoltan Furedi Gregory L. Cherlin Jerry L. Kazdan David Donoho Harry Kesten William G. Dwyer Robert Lazarsfeld David Eisenbud Paul S. Muhly Charles L. Epstein Jeffrey Rauch Daniel S. Freed Kenneth Ribet Michael D. Fried PROVIDENCE, RHODE ISLAND USA ISSN 0273-0979 Bulletin (New Series) of the American Mathematical Society This journal is devoted to articles of the following types: Research-Expository Papers These are, by definition, papers that present a clear and insightful exposition of significant aspects of contemporary mathematical research. Gibbs lectures, Progress in Mathematics lectures, and retiring presidential addresses will be included in this section. Research Announcements The purpose of this department is to publish quickly and disseminate widely significant new mathematics. A Research Announcement should be designed to communicate its contents to a broad mathematical audience and should meet high standards for clarity as well as mathematical content. ’ Book Reviews Book Reviews are accepted for publication by invitation only. Unsolicited manuscripts will not be considered. Subscription information. Bulletin (New Series) of the American Mathematical Society is pub- lished quarterly. Subscription prices for Volumes 28 and 29 (1993) are $217 list, $174 institutional member, $130 individual member. The subscription price for members is included in the annual dues. A late charge of 10% of the subscription price will be imposed upon orders received from non- members after January | of the subscription year. Subscribers outside the United States and India must pay a postage surcharge of $8.00; subscribers in India must pay a postage surcharge of $13.00. Expedited delivery to destinations in North America $12; elsewhere $21. Beginning in January 1992, the Bulletin will be available from the electronic service e-MATH [telnet eeM ATH.ams.org (or telnet 130.44.1.100). Login and password are e-math.] Back number information. For back issues see the AMS Catalog of Publications. Subscriptions and orders should be addressed to the American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904. All orders must be accompanied by payment. Other correspondence should be addressed to P.O. Box 6248, Providence, RI 02940-6248. Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy an article for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication (including abstracts) is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Manager of Editorial Services, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. Requests can also be made by e-mail to [email protected]. The appearance of the code on the first page of an article in this journal indicates the copyright owner’s consent for copying beyond that permitted by Sections 107 or 108 of the U.S. Copyright Law, provided that the fee of $1.00 plus $.25 per page for each copy be paid directly to the Copyright Clearance Center, Inc., 27 Congress Street, Salem, MA 01970. This consent does not extend to other kinds of copying, such as copying for general distribution, for advertising or promotional purposes, for creating new collective works, or for resale. Bulletin (New Series) of the American Mathematical Society is published quarterly by the Amer- ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second class postage is paid at Providence, Rhode Island, and additional mailing offices. Postmaster: Send address changes to Bulletin, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. © Copyright 1993 American Mathematical Society. All rights reserved. Printed in the United States of America. € The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. This publication was typeset using A,4S-TgX, the American Mathematical Society’s TEX macro system. 10987654321 98 97 96 95 94 93 BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY CONTENTS JULY 1993 Research-Expository Papers “Theoretical Mathematics”: Toward a cultural synthesis of mathematics and theo- retical physics by Arthur Jaffe and Frank Quinn On the passage from local to global in number theory by B. Mazur Research Announcements Quasipositivity as an obstruction to sliceness by Lee Rudolph A counterexample to Borsuk’s conjecture by Jeff Kahn and Gil Kalai The genus-minimizing property of algebraic curves by P. B. Kronheimer Average case complexity of linear multivariate problems by H. Wozniakowski ... Adding handles to the helicoid by David Hoffman, Fusheng Wei, and Hermann Karcher Absence of Cantor spectrum for a class of Schrédinger operators by Norbert Riedel Topological invariance of intersection lattices of arrangements in CP? by Tan Jiang and Stephen S.-T. Yau A counterexample to the rigidity conjecture for rings by Raymond C. Heitmann . Book Reviews Submodular functions and optimization theory by S. Fujishige—Reviewed by Richard P. McLean and William W. Sharkey Finite soluble groups by Klaus Doerk and Trevor Hawkes—Reviewed by Cheryl E. Praeger Topics in non-commutative geometry by Yuri I. Manin—Reviewed by Ivan Penkov Algorithmic algebraic number theory by M. Pohst and H. Zassenhaus—Reviewed by René Schoof The cohomology of groups by Leonard Evens—Reviewed by Richard G. Swan.... Mathematical analysis and numerical methods for science and technology, Volume 5. Evolution problems | by Robert Dautray and Jacques-Louis Lions—Reviewed by Karen A. Ames Topics in varieties of group representations by Samuel M. Vovsi—Reviewed by Peter M. Neumann Geometry of reflecting rays and inverse problems by V. M. Petkov and L. N. Stoyanov—Reviewed by J. Sjdéstrand Ergodic theorems for group actions by Arkady Tempelman—Reviewed by H. O. Georgii Combinatorics of train tracks by R. C. Penner with J. L. Harer—Reviewed by W. Abikoff The general theory of integration by Ralph Henstock—Reviewed by Robert G. Bartle Multidimensional inverse scattering problems by Alexander G. Ramm—Reviewed by Reese T. Prosser Symmetries and Laplacians: Introduction to harmonic analysis, group representa- tions and applications by David Gurarie—Reviewed by Audrey Terras CONTENTS OCTOBER 1993 Research-Expository Papers Iteration of meromorphic functions by Walter Bergweiler Intersecting families of sets and the topology of cones in economics by G. Chichilnisky Research Announcements Coupling and Harnack inequalities for Sierpinski carpets by Martin T. Barlow and Richard F. Bass Symmetry of tilings of the plane by Charles Radin A linear construction for certain Kerdock and Preparata codes by A. R. Calderbank, A. R. Hammons, Jr., P. Vijay Kumar, N. J. A. Sloane, and Patrick Solé .... A new measure of growth for countable-dimensional algebras by John Hannah and K. C. O’Meara Harmonic analysis of fractal measures induced by representations of a certain C*- algebra by Palle E. T. Jorgensen and Steen Pedersen Stokes’ theorem for nonsmooth chains by Jenny Harrison The Dinitz problem solved for rectangles by Jeannette C. M. Janssen Trace formulae and inverse spectral theory for Schrodinger operators by F. Gesztesy, H. Holden, B. Simon, and Z. Zhao Book Reviews Code recognition and set selection with neural networks by Clark Jeffries—Reviewed by Morris W. Hirsch Representations and cohomology, II: Cohomology of groups and modules by D. J. Benson—Reviewed by J. E. Humphreys Global classical solutions for nonlinear evolution equations by Li Ta-Tsien and Chen Yunmei—Reviewed by Walter A. Strauss Matching of asymptotic expansions of solutions of boundary value problems by A. M. Ilin—Reviewed by Julian D. Cole Complexity theory of real functions by Ker-] Ko—Reviewed by Marian Boykan Pour-El Pisot and Salem numbers by M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse, and J. P. Schreiber—Reviewed by M. Mendes France Generalized hypergeometric functions by Bernard Dwork—Reviewed by Alan Adolphson Integral inequalities and applications by Drumi Bainov and Pavel Simeonov— Reviewed by C. Corduneanu Teichmiiller theory in Riemannian geometry by Anthony J. Tromba—Reviewed by Michael Wolf Manifolds with singularities and the Adams-Novikov spectral sequence by Boris I. Botvinnik—Reviewed by Douglas C. Ravenel Global properties of linear ordinary differential equations by Frantisek Neuman— Reviewed by Anton Zettl Groups, generators, syzygies, and orbits in invariant theory by V. L. Popov— Reviewed by Gerald W. Schwarz Kolmogorov spectra of turbulence I: Wave turbulence by V. E. Zakharov, V. S. Lvov, and G. Falkovich—Reviewed by Alexandre J. Chorin Sphere packings, lattices and groups by J. H. Conway and N. J. A. Sloane—Reviewed by C. A. Rogers

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