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ISSN 0002·9920 NEW! Version 5 Sharing Your Work Just Got Easier • Typeset PDF in the only software that allows you to transform U\TEX files to PDF fully hyperlinked and with embedded graphics in over 50 formats • Export documents as RTF with editable mathematics (Microsoft Word and MathType compatible) • Share documents on the web as HTML with mathematics as MathML or graphics The Gold Standard for Mathematical Publishing <J (.\t ) :::: Scientific WorkPlace and Scientific Word make writing, sharing, and doing . ach is to aPPlY theN mathematics easier. A click of a button of Stanton s ap\)1 o : esti1nates of the allows you to typeset your documents in to constrnct nonparametnc IHEX. And, with Scientific WorkPlace, . f· ddff2i) and ref: diff1} ~r-l ( xa _ .x~ ) K te . 1 . t+l you can compute and plot solutions with 1 t~ the integrated computer algebra engine, f!(:;) == 6. "T-lK(L,....t=l h MuPAD® 2.5. rr-: MilcKichan SOFTWARE , INC. Tools for Scientific Creativity since 1981 Editors INTERNATIONAL Morris Weisfeld Managing Editor Dan Abramovich MATHEMATICS Enrico Arbarello Joseph Bernstein Enrico Bombieri RESEARCH PAPERS Richard E. Borcherds Alexei Borodin Jean Bourgain Marc Burger Website: http://imrp.hindawi.com Tobias. Golding Corrado DeConcini IMRP provides very fast publication of lengthy research articles of high current interest in Percy Deift all areas of mathematics. All articles are fully refereed and are judged by their contribution Robbert Dijkgraaf to the advancement of the state of the science of mathematics. Issues are published as fre­ S. K. Donaldson quently as necessary. Each issue will contain only one article. IMRP is expected to publish Yakov Eliashberg 400± pages in zoo5. Edward Frenkel Articles of at least 50 pages are welcome and all articles are refereed and judged for cor­ Emmanuel Hebey rectness, interest, originality, depth, and applicability. Submissions are made by e-mail to Dennis Hejhal [email protected]:in. An abstract for each article should be included. A copy may also Helmut Hofer be sent to an editor. Only an acknowledgment from the editorial office officially establishes Gerhard Huisken the date of receipt. Submissions not prepared using TeX should be typed or printed on one Yasutaka Ihara side of the page, be double-spaced (including references). and have ample margins. Check Michio Jimbo contact information for submission by fax or post. When articles are accepted, production Kurt Johansson begins immediately; authors should be available to assist the editorial staff. Masaki Kashiwara Please note that it is a condition of submission of a paper that the author(s) permit editing Kiran S. Kedlaya the paper for language correct:ness, readability, and compliance with the IMRP mathemati­ Carlos Kenig cal style. Sergiu Klainerman Toshiyuki Kobayashi Illustrations can be in color. There are no page charges. Each author shall receive 100 com­ Maxim Kontsevich plimentary reprints with covers. Igor Krichever Shigeo Kusuoka Gilles Lebeau Joachim Lohkamp Applied Mathelllatics Nikolai Makarov Yu. I. Manin Research express Barry Mazur Haynes Miller Website: http://amrx.hindawi.com Shinichi Mochizuki AMRX provides very fast publication of research articles of high current interest Fabien Morel dealing with the use of mathematics in all other areas of knowledge usually in the Michael Rapoport There are no restric­ form of mathematical/computational models and algorithms. N. Yu. Reshetikhin tions on length, and illustrations can be in color. Submissions are made by e-mail to [email protected]. Igor Rodnianski Peter Sarnak Editors: Morris Weisfeld (Editor-in-Chief), A. Bertozzi, K. Bhattacharya, D. Cai, R. Carmona, T. T. Chen, T. C. E. Cheng, J.-M. Coron, J. Demmel, A. DeSimone, Freydoon Shahidi Q . Du, Weinan E, L. C. Evans, G. Friesecke, J. Glimm, A. Guionnet, P. Holmes, Stanislav Smirnov S. Rosten, J. Jost, J. Keating, C. Le ·Bris, M. Ledoux, P. Maini, B. Mishra, S. Muller, Michael Struwe T. Nizar, S. Osher, J. Pach, R. L. Pego, J. Satsuma, B. Sturmfels, X.-P. Wang, G. Tian H. Weitzner, H.-T. Yau, P. Zhang. John Toth Forthcoming Articles Takeshi Tsuji • On the Discrete Group Analysis for Solving Some Classe_s David Vogan of Emden-Fowler Equations, M. Hadizadeh, A . R. Zokayi, and P. Darania Dan Voiculescu Using G1 Ball-Spline Curves, • Space Curves Approximation Andrei Zelevinsky Germain E. Randriambelosoa Madej Zworski Hindawi Publishing Corporation, 410 Park Avenue, 15th Floor, #287 pmb, New York, NY 10022, USA; HINDAWI Fax: 1-866-446-3294 (USA, toll-free); URL: http://hindawi.com; E-mail: [email protected] NEW f6 FORTHCOMING from Birkhiiuser Variational Methods D·Modules, Perverse Geometric Problems on in Shape Optimization Sheaves, and Maxima and Minima Problems Representation Theory TITU ANDREESCU,American Mathematics Competitions, Lincoln, NE; OLEG MUSKAROV, Institute for Mathematics, DORIN BUCUR, Universite de Metz, France and RYOSHI HOTTA, Okayama University of Science, Japan; Bulgarian Academy of Sciences, Sofia, Bulgaria; and GIUSEPPE BUTTAZZO, Universita di Pisa, Italy KIYOSHI TAKEUCHI, University ofTsukuba, Japan; and LUCHEZAR STOYANOV, University of Western Australia, TOSHIYUKI TANISAKI, Osaka City University, Japan Crawley, WA The study of shape optimization problems involves a wide (Translated by K Takeuchi) area of academic research and applications to the real This carefully developed problem book takes a unique, world. In this work these problems are treated from the This work examines in detail the foundations of D­ intuitive approach to extreme value problems, treating classical and modern perspectives and target a broad module theory and its intersection with cohomology them within the framework of Euclidean geometry. The audience of graduate students in pure and applied groups and representation theory. This systematic and reader is exposed to algebra, analysis, combinatorics, mathematics, as well as engineers requiring a solid carefully written exposition begins with preliminary and topology, and throughout the text, emphasis is mathematical basis for the solution of practical problems. concepts before focusing on some basic but important placed on creative techniques for problem solving. 2005/352 PP./HARDCOVER theories that have emerged in the last few decades. Reflecting the authors' experience as teachers and ISBN 0-8176-4359-l/$1 09.00 Significant topics that have emerged as studies in their Olympiad coaches, this volume is ideal for use at the own right include a treatment of the theory of holonom­ junior and senior undergraduate level, as well as for Cornerstones of Geometric ic D-modules, perverse sheaves, the Riemann-Hilbert enrichment programs and Olympiad training for correspondence, Hodge modules, and Kazhdan-Lusztig advanced high school students. The book will also Function Theory polynomials. To further aid the reader, appendices are appeal to graduate students, professional mathemati­ Explorations in Complex Analysis provided as reviews for the theory of derived categories cians, and puzzle enthusiasts alike. and algebraic varieties. STEVEN G. KRANTZ, Washington University, St. Louis, MO 2005/APPROX. 320PP., 160 ILLUS./HARDCOVER 2005/APPROX. 350/HARDCOVER ISBN 0-8176-3517-3/$79.95 Presented from a geometric analytical viewpoint, this ISBN 0-8176-4363-X/$99.95 work addresses advanced topics in complex analysis that verge on modern areas of research, with an understand­ Physical Applications of Fractal Geometry and ing and explanation of their interrelations with other Homogenous Balls Number Theory important parts of mathematics. Containing an extensive Complex Dimensions of Fractal Strings bibliography of both monographs and research papers YAAKOV FRIEDMAN andTZVI SCARR, both, Jerusalem and a thorough index, the book is methodically designed College of Technology, Israel and Zeros of Zeta Functions Second Edition with individual chapters containing a rich collection of This work introduces a unifying mathematical model to MICHAEL L. LAPIDUS, University of California, Riverside, CA exercises, examples, and illustrations. describe phenomena in different branches of physics. In 2005/APPROX. 350, 20 ILLUS. and MACHIEL VAN FRANKENHUYSEN, Rutgers University, particular, the book develops the algebraic structure of Piscataway, NJ ISBN O-B176-4339-7 /$69.95 bounded symmetric domains, highlighting the symmetry of physical laws and focusing on the interplay between 'fl stimulating guide, well written in a clear and pleas- Determining Spectra algebraic structures (such as triple products) and the ant style." -MATHEMATICAL REVIEWS OF THE AMS geometry of the domain. The resulting mathematical (REVIEW OF FIRST EDITION) in Quantum Theory tools have a number of physical applications. The book's New to the second edition: Material on Diophantine MICHAEL DEMUTH, Technische Universittit Clausthal, careful development of the topic and its emphasis on approximation of complex dimensions of nonlattice Germany and MAD DALY KRISHNA, Institute of Mathematical mathematics and physics make it useful for graduate strings • Periodic orbits of self-similar flows • Sciences, Chennat; India students and researchers in both disciplines. Discussion of connections between fractality and self­ The spectral theory of Schriidinger operators, in 2005/304 PP./HARDCOVER similarity in the non-lattice case. particular those with random potentials, continues to be ISBN 0-8176-3339-1/$79.95 2005/APPROX. 320 PP,30 ILLUS./HARDCOVER a very active field of research. This work focuses on ISBN 0-8176-3209-3/$64.95
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