DOCSLIB.ORG

Contemporary Mathematics 124

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

CONTEMPORARY MATHEMATICS 124 Azumaya Algebras~ Actions~ and Modules Proceedings of a Conference in Honor of Goro Azumaya's Seventieth Birthday http://dx.doi.org/10.1090/conm/124 Contemporary Mathematics Standing orders are accepted for Contemporary Mathematics as well as other book series published by the American Mathematical Society. If you are interested in receiving purchasing information on each new volume in the Contemporary Mathematics series as it is published, please write or call the American Mathematical Society. Customer Services American Mathematical Society Post Office Box 6248 Providence, Rhode Island 02940-6248 1-800-321-4AMS (321-4267) Titles in This Series Volume 1 Markov random fields and their 13 Algebraists' homage: Papers in applications, Ross Kindermann and ring theory and related topics, J. Laurie Snell S. A. Amitsur, D. J. Saltman, and 2 Proceedings of the conference on G. B. Seligman, Editors integration, topology, and geometry in 14 Lectures on Nielsen fixed point theory, linear spaces, William H. Graves, Editor Boju Jiang 3 The closed graph and P-closed 15 Advanced analytic number theory. graph properties in general topology, Part 1: Ramification theoretic methods, T. R. Hamlett and L. L. Herrington Carlos J. Moreno 4 Problems of elastic stability and 16 Complex representations of GL(2, K) for vibrations, Vadim Komkov, Editor finite fields K, llya Piatetski-Shapiro 5 Rational constructions of modules 17 Nonlinear partial differential equations, for simple Lie algebras, George B. Joel A. Smaller, Editor Seligman 18 Fixed points and nonexpansive 6 Umbral calculus and Hopf algebras, mappings, Robert C. Sine, Editor Robert Morris, Editor 19 Proceedings of the Northwestern 7 Complex contour integral homotopy theory conference, Haynes representation of cardinal spline R. Miller and Stewart B. Priddy, Editors functions, Walter Schempp 20 Low dimensional topology, Samuel J. 8 Ordered fields and real algebraic Lomonaco, Jr., Editor geometry, D. W. Dubois and T. Recio, Editors 21 Topological methods in nonlinear functional analysis, S. P. Singh, 9 Papers in algebra, analysis and S. Thomaier, and B. Watson, Editors statistics, R. Lidl, Editor 22 Factorizations of b" ± 1, b = 2, 10 Operator algebras and K-theory, 3, 5, 6, 7, 10, 11,12 up to high Ronald G. Douglas and Claude powers, John Brillhart, D. H. Lehmer, Schochet, Editors J. L. Selfridge, Bryant Tuckerman, and 11 Plane ellipticity and related problems, S. S. Wagstaff, Jr. Robert P. Gilbert, Editor 23 Chapter 9 of Ramanujan's second 12 Symposium on algebraic topology in notebook-Infinite series identities, honor of Jose Adem, Samuel Gitler, transformations, and evaluations, Editor Bruce C. Berndt and Padmini T. Joshi Titles in This Series Volume 24 Central extensions, Galois groups, and 43 Group actions on rings, Susan ideal class groups of number fields, Montgomery, Editor A. Frohlich 44 Combinatorial methods in topology and 25 Value distribution theory and its algebraic geometry, John R. Harper applications, Chung-Chun Yang, Editor and Richard Mandelbaum, Editors 26 Conference in modern analysis 45 Finite groups-coming of age, John and probability, Richard Beals, McKay, Editor Anatole Beck, Alexandra Bellow, and Arshag Hajian, Editors 46 Structure of the standard modules for the affine Lie algebra A~ 1 ), Microlocal analysis, M. Salah Baouendi, 27 James Lepowsky and Mirko Prime Richard Beals, and Linda Preiss Rothschild, Editors 47 Linear algebra and its role in systems theory, Richard A. Brualdi, 28 Fluids and plasmas: geometry and David H. Carlson, Biswa Nath Datta, dynamics, Jerrold E. Marsden, Editor Charles R. Johnson, and Robert J. 29 Automated theorem proving, W. W. Plemmons, Editors Bledsoe and Donald Loveland, Editors 48 Analytic functions of one complex 30 Mathematical applications of category variable, Chung-chun Yang and theory, J. W. Gray, Editor Chi-tai Chuang, Editors 31 Axiomatic set theory, James E. Complex differential geometry and Baumgartner, Donald A. Martin, and 49 nonlinear differential equations, Saharan Shelah, Editors Yum-Tong Siu, Editor 32 Proceedings of the conference on Banach algebras and several complex 50 Random matrices and their variables, F. Greenleaf and D. Gulick, applications, Joel E. Cohen, Editors Harry Kesten, and Charles M. Newman, Editors 33 Contributions to group theory, Kenneth I. Appel, John G. Ratcliffe, and 51 Nonlinear problems in geometry, Paul E. Schupp, Editors Dennis M. DeTurck, Editor 34 Combinatorics and algebra, Curtis 52 Geometry of normed linear spaces, Greene, Editor R. G. Bartle, N. T. Peck, A. L. Peressini, 35 Four-manifold theory, Cameron Gordon and J. J. Uhl, Editors and Robion Kirby, Editors 53 The Selberg trace formula and related 36 Group actions on manifolds, Reinhard topics, Dennis A. Hejhal, Peter Sarnak, Schultz, Editor and Audrey Anne Terras, Editors 37 Conference on algebraic topology in 54 Differential analysis and infinite honor of Peter Hilton, Renzo Piccinini dimensional spaces, Kondagunta and Denis Sjerve, Editors Sundaresan and Srinivasa Swaminathan, 38 Topics in complex analysis, Dorothy Editors Browne Shaffer, Editor 55 Applications of algebraic K-theory to 39 Errett Bishop: Reflections on him and algebraic geometry and number theory, his research, Murray Rosenblatt, Editor Spencer J. Bloch, R. Keith Dennis, Eric 40 Integral bases for affine Lie algebras M. Friedlander, and Michael R. Stein, and their universal enveloping algebras, Editors David Mitzman 56 Multiparameter bifurcation theory, 41 Particle systems, random media and Martin Golubitsky and large deviations, Richard Durrett, Editor John Guckenheimer, Editors 42 Classical real analysis, Daniel 57 Combinatorics and ordered sets, Waterman, Editor Ivan Rival, Editor Titles in This Series Volume 58.1 The Lefschetz centennial conference. 74 Geometry of group representations, Proceedings on algebraic geometry, William M. Goldman and Andy R. Magid, D. Sundararaman, Editor Editors 58.11 The Lefschetz centennial conference. 75 The finite calculus associated with Proceedings on algebraic topology, Bessel functions, Frank M. Cholewinski S. Gitler, Editor 76 The structure of finite algebras, 58.111 The Lefschetz centennial conference. David C. Hobby and Ralph Mckenzie Proceedings on differential equations, 77 Number theory and its applications in A. Verjovsky, Editor China, Wang Yuan, Yang Chung-chun, and Pan Chengbiao, Editors 59 Function estimates, J. S. Marron, Editor 78 Braids, Joan S. Birman and Anatoly 60 Nonstrictly hyperbolic conservation Libgober, Editors laws, Barbara Lee Keyfitz and Herbert C. Kranzer, Editors 79 Regular differential forms, Ernst Kunz and Rolf Waldi 61 Residues and traces of differential 80 Statistical inference from stochastic forms via Hochschild homology, processes, N. U. Prabhu, Editor Joseph Lipman 81 Hamiltonian dynamical systems, 62 Operator algebras and mathematical Kenneth R. Meyer and Donald G. Saari, physics, Palle E. T. Jorgensen and Editors Paul S. Muhly, Editors 82 Classical groups and related topics, 63 Integral geometry, Robert L. Bryant, Alexander J. Hahn, Donald G. James, Victor Guillemin, Sigurdur Helgason, and and Zhe-xian Wan, Editors R. 0. Wells, Jr., Editors 83 Algebraic K-theory and algebraic 64 The legacy of Sonya Kovalevskaya, number theory, Michael R. Stein and Linda Keen, Editor R. Keith Dennis, Editors 65 Logic and combinatorics, Stephen G. 84 Partition problems in topology, Simpson, Editor Stevo Todorcevic 66 Free group rings, Narian Gupta 85 Banach space theory, Bor-Luh Lin, Editor 67 Current trends in arithmetical algebraic geometry, Kenneth A. Ribet, Editor 86 Representation theory and number theory in connection with the local 68 Differential geometry: The interface Langlands conjecture, J. Ritter, Editor between pure and applied mathematics, 87 Abelian group theory, Laszlo Fuchs, Mladen Luksic, Clyde Martin, and RUdiger Gobel, and Phillip Schultz, William Shadwick, Editors Editors 69 Methods and applications of 88 Invariant theory, R. Fossum, mathematical logic, Walter A. Carnielli W. Haboush, M. Hochster, and and Luiz Paulo de Alcantara, Editors V. Lakshmibai, Editors 70 Index theory of elliptic operators, 89 Graphs and algorithms, R. Bruce foliations, and operator algebras, Richter, Editor Jerome Kaminker, Kenneth C. Millett, 90 Singularities, Richard Randell, Editor and Claude Schochet, Editors 91 Commutative harmonic analysis, 71 Mathematics and general relativity, David Colella, Editor James A. Isenberg, Editor 92 Categories in computer science and 72 Fixed point theory and its applications, logic, John W. Gray and Andre Scedrov, R. F. Brown, Editor Editors 73 Geometry of random motion, Rick 93 Representation theory, group rings, and Durrett and Mark A. Pinsky, Editors coding theory, M. Isaacs, A. Lichtman, Titles in This Series Volume D. Passman, S. Sehgal, N. J. A. Sloane, 111 Finite geometries and combinatorial and H. Zassenhaus, Editors designs, Earl S. Kramer and Spyros S. 94 Measure and measurable dynamics, Magliveras, Editors R. Daniel Mauldin, R. M. Shortt, and 112 Statistical analysis of measurement Cesar E. Silva, Editors error models and applications, 95 Infinite algebraic extensions of finite Philip J. Brown and Wayne A. Fuller, fields, Joel V. Brawley and George E. Editors Schnibben 113 Integral geometry and tomography, 96 Algebraic topology, Mark Mahowald Eric Grinberg and Eric Todd Quinto, and Stewart Priddy, Editors Editors 97 Dynamics and control of multibody 114 Mathematical developments arising systems, J. E. Marsden, P. S. from linear
Recommended publications
  • The Association for Women in Mathematics: How and Why It Was

    The Association for Women in Mathematics: How and Why It Was

    Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted.
  • Mite Beometrles Ana Corn Binatorial Designs

    Mite Beometrles Ana Corn Binatorial Designs

    AMERICAN MATHEMATICAL SOCIETY mite beometrles ana Corn binatorial Designs Proceedings of the AMS Special Session in Finite Geometries and Combinatorial Designs held October 29-November 1, 1987 http://dx.doi.org/10.1090/conm/111 Titles in This Series Volume 1 Markov random fields and their 19 Proceedings of the Northwestern applications, Ross Kindermann and homotopy theory conference, Haynes J. Laurie Snell R. Miller and Stewart B. Priddy, Editors 2 Proceedings of the conference on 20 Low dimensional topology, Samuel J. integration, topology, and geometry in Lomonaco, Jr., Editor linear spaces, William H. Graves, Editor 21 Topological methods in nonlinear 3 The closed graph and P-closed functional analysis, S. P. Singh, graph properties in general topology, S. Thomaier, and B. Watson, Editors T. R. Hamlett and L. L. Herrington 22 Factorizations of b" ± 1, b = 2, 4 Problems of elastic stability and 3, 5, 6, 7, 10, 11, 12 up to high vibrations, Vadim Komkov, Editor powers, John Brillhart, D. H. Lehmer, 5 Rational constructions of modules J. L. Selfridge, Bryant Tuckerman, and for simple Lie algebras, George B. S. S. Wagstaff, Jr. Seligman 23 Chapter 9 of Ramanujan's second 6 Umbral calculus and Hopf algebras, notebook-Infinite series identities, Robert Morris, Editor transformations, and evaluations, Bruce C. Berndt and Padmini T. Joshi 7 Complex contour integral representation of cardinal spline 24 Central extensions, Galois groups, and functions, Walter Schempp ideal class groups of number fields, A. Frohlich 8 Ordered fields and real algebraic geometry, D. W. Dubois and T. Recio, 25 Value distribution theory and its Editors applications, Chung-Chun Yang, Editor 9 Papers in algebra, analysis and 26 Conference in modern analysis statistics, R.
  • James H. Olsen

    James H. Olsen

    James H. Olsen Contact Department of Mathematics Information North Dakota State University Voice: (614) 292-2572 205 Dreese Labs Fax: (614) 292-7596 2015 Neil Avenue E-mail: [email protected] Columbus, OH 43210 USA WWW: math.ndsu.nodak.edu/faculty/olsen/ Research Ergodic theory Interests Education The University of Minnesota, Minneapolis, Minnesota USA Ph.D., Mathematics, 1968 • Dissertation Title: Dominated Estimates of Lp Contractions, 1 < p < ∞. • Advisor: Professor Rafael V. Chacon • Area of Study: Ergodic Theory M.S., Mathematics, 1967 • Advisor: Professor Rafael V. Chacon • Area of Study: Ergodic Theory N.C. State College, Raleigh, North Carolina USA B.S., Electrical Engineering, 1963 Awards and Eta Kappa Nu Honors • Member Scabbard and Blade National Honor Society • First Sergeant Academic and North Dakota State University, Fargo, ND USA Professional Experience Professor of Mathematics 1984 to present Associate Professor of Mathematics 1974 to 1984 Assistant Professor of Mathematics 1970 to 1974 Mathematical Research Division, National Security Agency, Fort George G. Meade, Maryland, USA Research Mathematician 1969 to 1970 • Active duty with the U.S. Army. • Achieved the rank of captain. The University of Minnesota, Minneapolis, Minnesota USA Instructor, School of Mathematics Fall 1968 Nuclear Effects Lab, White Sands Missle Range, New Mexico USA Electronics Engineer Summer 1964 1 of 5 Publications Dominated estimates of positive contractions, (with R.V. Chacon), Proceedings of the American Mathematical Society, 20, 226-271 (1969). Dominated estimates of convex combinations of commuting isometries, Israel Journal of Mathematics, 11, 1-13 (1972). Estimates of convex combinations of commuting isometries, Z. Wahrscheinlicheits- theorie verw. Geb. 26, 317-324 (1973).
  • President's Report

    President's Report

    Volume 38, Number 4 NEWSLETTER July–August 2008 President’s Report Dear Colleagues: I am delighted to announce that our new executive director is Maeve Lewis McCarthy. I am very excited about what AWM will be able to accomplish now that she is in place. (For more about Maeve, see the press release on page 7.) Welcome, Maeve! Thanks are due to the search committee for its thought and energy. These were definitely required because we had some fabulous candidates. Thanks also to Murray State University, Professor McCarthy’s home institution, for its coopera- tion as we worked out the details of her employment with AWM. The AWM Executive Committee has voted to give honorary lifetime mem- IN THIS ISSUE berships to our founding presidents, Mary Gray and Alice T. Schafer. In my role as president, I am continually discovering just how extraordinary AWM is 7 McCarthy Named as an organization. Looking back at its early history, I find it hard to imagine AWM Executive Director how AWM could have come into existence without the vision, work, and persist- ence of these two women. 10 AWM Essay Contest Among newly elected members of the National Academy of Sciences in the physical and mathematical sciences are: 12 AWM Teacher Partnerships 16 MIT woMen In maTH Emily Ann Carter Department of Mechanical and Aerospace Engineering and the Program in 19 Girls’ Angle Applied and Computational Mathematics, Princeton University Lisa Randal Professor of theoretical physics, Department of Physics, Harvard University Elizabeth Thompson Department of Statistics, University of Washington, Seattle A W M The American Academy of Arts and Sciences has also announced its new members.
  • Editorial Board George E

    Editorial Board George E

    Advances in Mathematics http://www.ees.elsevier.com/aim Elsevier Editorial Office 525 B Street, Suite 1900 San Diego, CA 92101-4495, USA E-mail: [email protected] Telephone: (619) 699-6854 Fax: (619) 699-6700 Edited by Michael J. Hopkins Tomasz S. Mrowka Harvard University Massachusetts Institute of Technology Cambridge, MA 02138, USA Cambridge, MA 02139-4307, USA Gang Tian Princeton University Princeton, New Jersey 08544, USA Editorial Board George E. Andrews Charles Fefferman Pennsylvania State University Princeton University University Park, PA 16802, USA Princeton, NJ 08544, USA Alexandra Bellow Daniel S. Freed Northwestern University University of Texas at Austin Evanston, IL 60201, USA Austin, TX 78712, USA David Ben-Zvi Mathematics Department Adriano Garsia University of Texas at Austin University of California, San Diego Austin, TX 78712-0257, USA La Jolla, CA 92037, USA Roman Bezrukavnikov I.M. Gelfand Massachusetts Institute of Technology Rutgers University Massachusetts, USA New Brunswick, NJ 08903, USA Sara C. Billey Department of Mathematics Mark Hovey University of Washington Wesleyan University Seattle, WA 98195-4350, USA Middletown, CT 06459, USA Felix Browder Vaughan Jones Hill Center, Bush Campus University of California, Berkeley Rutgers University Berkeley, CA 94720, USA New Brunswick, NJ 08903, USA Luis Caffarelli Gil Kalai RLM 8.100 Institute of Mathematics University of Texas at Austin Hebrew University, Givat Ram Austin, TX 78712, USA Jerusalem 91904, Israel Alain Connes Ludmil Katzarkov Institut Hautes Études Scientifiques University of California, Irvine 35, Rue de Chartres Irvine, CA 92697, USA 91440 Bûres-sur-Yvette, France Andreas Dress Takahiro Kawai Research Institute for Mathematical Sciences Postfach 8640 Kyoto University Universität Bielefeld D-4800 Bielefeld 1, Germany Kitashirakawa, Sakyo-ku Kyoto 60601, Japan Kenneth Falconer H.
  • Comments on [5], [14], [22], [30], and [31]

    Comments on [5], [14], [22], [30], and [31]

    Comments on [5], [14], [22], [30], and [31] Donald L. Burkholder Department of Mathematics University of Illinois Urbana, IL 61801 [email protected] During the two decades after the publication of the pi- oneering papers Proof of the ergodic theorem and Proof of the quasi-ergodic hypothesis by Birkhoff [Bi] and von Neumann [vN], but before the publication of A general ergodic theorem by Calder´onin 1953, there were new proofs and generalizations of the results of Birkhoff and von Neumann given by many mathematicians. These in- clude, among others, Khintchine, Hopf, Kolmogorov, F. Riesz, Yoshida, Kakutani, Wiener, Dunford, Pitt, Doob, and Zygmund. Much of this substantial body of work is referenced in [Ho2], [Ka], and [Kr]. Explorations in many new directions have continued since then and have greatly expanded the connections and applications of er- godic theory to other parts of mathematics and beyond. Calder´on's1953 paper [5] played an important role in this development. In the paper, Calder´onstudies the behavior of averages of the form 1 Z F (gx) dg: (1) Nt j j Nt Here (Nt)t>0 is a family of compact symmetric neigh- 1 borhoods of the identity of a locally compact group G of one-to-one measure-preserving transformations g on a measure space E of finite measure, Nt is the left in- j j variant Haar measure of Nt with dg denoting an element of this measure, and F is an integrable function on E such that (g; x) F (gx) has appropriate measurabil- ity. It is not assumed7! that G is abelian but it is as- sumed that G is ergodic in the sense that there exists a family (Nt)t>0 as above satisfying NtNs Nt+s and ⊂ N2t < α Nt with the choice of the constant α not de- pendingj j onj tj.
  • Improving IMS Meetings

    Improving IMS Meetings

    Volume 37 • Issue 9 IMS Bulletin November 2008 Improving IMS Meetings CONTENTS Xuming He writes: Each year, the IMS sponsors, and co-sponsors, a healthy number 1 Improving IMS Meetings of conferences, meetings, workshops or symposiums in probability and statistics. The IMS is a major sponsor of the Joint Statistical Meetings (JSM), each August in North 2 Members’ News: Jeff Wu; Sally Morton America. Every other year (odd years), the IMS Annual Meeting takes place at JSM: the 2009 IMS Annual Meeting will be embedded in the JSM to be held in Washington Journal News 3 DC, August 1–6, 2009. Other significant meetings to take place next year include 4 Meetings: Workshop for the ENAR/IMS Spring Meetings in San Antonio, Texas (March 15–19), the WNAR/ Women in Probability; IMS Meeting in Portland, Oregon (June 14–19), and the first IMS Asia Pacific Rim International Workshop in Meeting in Seoul, Korea (June 28 – July 1). Meeting announcements can be found in Applied Probability each issue of the Bulletin, and also online at http://www.imstat.org/meetings/. 6 Contribute Even with rising costs, enthusiasm about meetings never diminishes in our profes- 7 IMS Awards sion, because we all benefit from face-to-face meetings. We exchange ideas, disseminate new research outcomes, and promote collaborations. So how do we maximize our Laha Awardees 8 rewards each time we take several days off and travel to speak at, or attend, a meeting? 9 Making the Most of Almost all of our meetings are organized by volunteers in our own societies.
  • Ergodic Theory in the Perspective of Functional Analysis

    Ergodic Theory in the Perspective of Functional Analysis

    Ergodic Theory in the Perspective of Functional Analysis 13 Lectures by Roland Derndinger, Rainer Nagel, GÄunther Palm (uncompleted version) In July 1984 this manuscript has been accepted for publication in the series \Lecture Notes in Mathematics" by Springer-Verlag. Due to a combination of unfortunate circumstances none of the authors was able to perform the necessary ¯nal revision of the manuscript. TÄubingen,July 1987 1 2 I. What is Ergodic Theory? The notion \ergodic" is an arti¯cial creation, and the newcomer to \ergodic theory" will have no intuitive understanding of its content: \elementary ergodic theory" neither is part of high school- or college- mathematics (as does \algebra") nor does its name explain its subject (as does \number theory"). Therefore it might be useful ¯rst to explain the name and the subject of \ergodic theory". Let us begin with the quotation of the ¯rst sentence of P. Walters' introductory lectures (1975, p. 1): \Generally speaking, ergodic theory is the study of transformations and flows from the point of view of recurrence properties, mixing properties, and other global, dynamical, properties connected with asymptotic behavior." Certainly, this de¯nition is very systematic and complete (compare the beginning of our Lectures III. and IV.). Still we will try to add a few more answers to the question: \What is Ergodic Theory ?" Naive answer: A container is divided into two parts with one part empty and the other ¯lled with gas. Ergodic theory predicts what happens in the long run after we remove the dividing wall. First etymological answer: ergodhc=di±cult. Historical answer: 1880 - Boltzmann, Maxwell - ergodic hypothesis 1900 - Poincar¶e - recurrence theorem 1931 - von Neumann - mean ergodic theorem 1931 - Birkho® - individual ergodic theorem 1958 - Kolmogorov - entropy as an invariant 1963 - Sinai - billiard flow is ergodic 1970 - Ornstein - entropy classi¯es Bernoulli shifts 1975 - Akcoglu - individual Lp-ergodic theorem Naive answer of a physicist: Ergodic theory proves that time mean equals space mean.
  • January 2002 Prizes and Awards

    January 2002 Prizes and Awards

    January 2002 Prizes and Awards 4:25 p.m., Monday, January 7, 2002 PROGRAM OPENING REMARKS Ann E. Watkins, President Mathematical Association of America BECKENBACH BOOK PRIZE Mathematical Association of America BÔCHER MEMORIAL PRIZE American Mathematical Society LEVI L. CONANT PRIZE American Mathematical Society LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION Association for Women in Mathematics ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN Association for Women in Mathematics CHAUVENET PRIZE Mathematical Association of America FRANK NELSON COLE PRIZE IN NUMBER THEORY American Mathematical Society AWARD FOR DISTINGUISHED PUBLIC SERVICE American Mathematical Society CERTIFICATES OF MERITORIOUS SERVICE Mathematical Association of America LEROY P. S TEELE PRIZE FOR MATHEMATICAL EXPOSITION American Mathematical Society LEROY P. S TEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH American Mathematical Society LEROY P. S TEELE PRIZE FOR LIFETIME ACHIEVEMENT American Mathematical Society DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY TEACHING OF MATHEMATICS Mathematical Association of America CLOSING REMARKS Hyman Bass, President American Mathematical Society MATHEMATICAL ASSOCIATION OF AMERICA BECKENBACH BOOK PRIZE The Beckenbach Book Prize, established in 1986, is the successor to the MAA Book Prize. It is named for the late Edwin Beckenbach, a long-time leader in the publica- tions program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The prize is awarded for distinguished, innov- ative books published by the Association. Citation Joseph Kirtland Identification Numbers and Check Digit Schemes MAA Classroom Resource Materials Series This book exploits a ubiquitous feature of daily life, identification numbers, to develop a variety of mathematical ideas, such as modular arithmetic, functions, permutations, groups, and symmetries.
  • The Circle Squared, Beyond Refutation MAA Committee on Participation of Women Sponsors Panel On

    The Circle Squared, Beyond Refutation MAA Committee on Participation of Women Sponsors Panel On

    Volume 9, Number 2 THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA March-April 1989 The Circle Squared, MAA Committee on Participation of Beyond Refutation Women Sponsors Panel on "How to Stan Wagon Break into Print in Mathematics" Frances A. Rosamond The circle has finally been squared! No, I do not mean that some­ one has found a flaw in the century-old proof that 7r is transcen­ This panel at the Phoenix meeting was intended to provide en­ dental and that a straightedge and compass construction of 7r ex­ couragement for women mathematicians, but its "how to" lessons ists. I am instead referring to a famous problem that Alfred Tarski will be useful to all mathematicians. The essentials of writing a posed in 1925: Is it possible to partition a circle (with interior) into research paper, expository article, or book from first conception finitely many sets that can be rearranged (using isometries) so that to final acceptance were discussed by authors and editors. Panel they form a partition of a square? In short, Tarski's modern circle­ members were: Doris W. Schattschneider, Moravian College; Joan squaring asks whether a circle is equidecomposable to a square. P. Hutchinson, Smith College; Donald J. Albers, Menlo College; A proof that the circle can indeed be squared in Tarski's sense has and Linda W. Brinn. Marjorie L. Stein of the US Postal Service was just been announced by Mikl6s Laczkovich (Eotvos t.orand Univer­ moderator. The organizer was Patricia C. Kenschaft, Chair of the sity, Budapest). MAA Committee on the Participation of Women.
  • Sylvia Wiegand August 31 2006 Department of Mathematics And

    Sylvia Wiegand August 31 2006 Department of Mathematics And

    Brief Bio: Sylvia Wiegand August 31 2006 Department of Mathematics and Statistics University of Nebraska-Lincoln Lincoln, NE 68588-0130 Email: [email protected] Telephone : 402-472-7248 (O) 402-476-7260 (h) 402-472-8466 (fax) WEB: http://www.math.unl.edu/»swiegand Date of Birth: March 8, 1945 Education: 1972 PhD (Mathematics) University of Wisconsin 1967 MS (Mathematics) University of Washington 1966 AB (Mathematics) Bryn Mawr College Thesis Advisor: L. S. Levy Professional Experience: 1972-present Instructor to Professor University of Nebraska 2002-2003 Visiting Scientist National Science Foundation Fall 1997 Visiting Professor Michigan State University 1992-3,98 Visiting Professor Purdue University Specialization: Commutative Algebra, Ring Theory Honors: 1997-8, 2006-7 Univ. of Nebraska Faculty Development Leave Feb. 2001 Lincoln Women Sports/Fitness Community achiever April 2000 Chancellor's Commission on the Status of Women award, UNL 1999 Lincoln Women of Achievement Subject of one chapter 1998-9 Newspaper Biographical Articles Lincoln Jour-Star, Daily Nebraskan 1998 Notable Women in Mathematics Subject of one chapter 1992-3 National Science Foundation Visiting Professorship for Women Oct. 1991 American Mathematical Society Invited Hour Address 1966-71 National Science Foundation NSF Graduate Fellow 1966 Woodrow Wilson Foundation Honorary Fellow Some professional service : 1997-9 AWM President 2006 Amer. Math. Soc. V-P Candidate 2005 AMS Fall Sectional, Lincoln Local Organizer, Co-org. Spec. Sess. 2005-2008 AMS CAFTES Committee 2005-2008 MAA Science Policy Committee 2002-5, 2005-9 MAA Coord. Council on Awards 2004-2006 MAA Joint meetings 2005-2007 Prog. Comm. 2000-2001 AWM Nominating Committee 1999-2006 UNL Conference Undergraduate Women Assistance/advisor 2001-02,2005- Dept.
  • March 1995 Council Minutes

    March 1995 Council Minutes

    AMERICAN MATHEMATICAL SOCIETY COUNCIL MINUTES 25 March 1995 7:00 PM Chicago, Illinois Abstract The Council of the American Mathematical Society met at 7:00 PM on Saturday, 25 March 1995, in the Shedd Room in the Hyatt on Printer’s Row, 500 South Dearborn, Chicago, Illinois. Members present during at least some portion of the meeting: Georgia Benkart, Robert Fossum, John Franks, William Fulton, James Hyman, Svetlana Katok, Ir- win Kra, Robert Lazarsfeld, James Lepowsky, Andy Magid (Associate Secretary of record), Jerrold Marsden, Cathleen Morawetz, Frank Morgan, Anil Nerode, Franklin Peterson, Marc Rieffel, Cora Sadosky, Norberto Salinas, Peter Shalen, Alice Silverberg, B. A. Taylor, Jean Taylor, Sylvia Wiegand, and Susan Williams. Official Guests: Salah Baouendi (CPROF Chair), Chandler Davis (CMS rep), James Donaldson, John Ewing (incoming ED), William Jaco (Executive Director), Susan Montgomery (BT member), Mary Beth Ruskai (JCW Chair), Lance Small (Assoc Sec), and Kelly Young (Assistant to the Secretary). 1 2 CONTENTS Contents I AGENDA 4 0 CALL TO ORDER AND INTRODUCTIONS. 4 0.1CalltoOrder......................................... 4 0.2IntroductionofNewCouncilMembers........................... 4 1 MINUTES 4 1.1January95Council..................................... 4 1.2August94Council...................................... 5 1.3MinutesofBusinessByMail............................... 5 1.3.1 Election to the Executive Committee. .................. 5 1.3.2 EthicalGuidelines.................................. 5 2 CONSENT AGENDA. 5 2.1 Resolution of thanks to William H. Jaco. .................. 5 3 REPORTS OF BOARDS AND STANDING COMMITTEES. 6 3.1EBC............................................. 6 3.1.1 Mathematical Surveys Editorial Committee. .................. 6 3.1.2 Mathematical Reviews Editorial Committee. .................. 6 3.1.3 Proceedings Editorial Committee. .................. 6 3.2 Nominating Committee. ......................... 6 3.2.1 President...................................... 7 3.2.2 Vice-president..................................