DOCSLIB.ORG

Ransactions of The

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Ransactions of The VOLUME328 NUMBER 2 EI 11999 DECEMBER1991 RANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY EDITED BY Avner D. Ash James E. Baumgartner James W. Cannon Sun-Yung A. Chang Ralph Cohen Richard Durrett David Jerison Jerry L. Kazdan Roger D. Nussbaum Carl Pomerance Judith D. Sally David J. Saltman, Managing Editor Masamichi Takesaki Audrey Terras PROVIDENCE. RHODE ISLAND USA TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY THIS JOURNAL is devoted entirely to research in pure and applied mathematics, and includes, in general, longer papers than those in the PROCEEDINGS. Papers should be at least 16 typed pages in length. PREPARATION OF THE MANUSCRIPT. All papers should be typewritten double-spaced, and two copies should be sent to the appropriate editor. The author should keep a complete copy. To encourage the submission of manuscripts in electronic form using TgX and the ^xS-TgX macro package, the Executive Committee of the Council has adopted a policy that allows for accelerating the publication date of such manuscripts by as much as 20 weeks, which is approximately equal to the time normally needed by the Society for copyediting, typesetting, and proofreading an average manuscript. FORM OF MANUSCRIPT. The first page should consist of a descriptive title, followed by an abstract which summarizes the article in language suitable for workers in the general field (algebra, analysis, etc.). "Some The descriptive title should be short, but informative; useless or vague phrases such as remarks "concerning" about" or should be avoided. Also avoid proper names unless mathematical usage associates them with the work. The abstract should be at least one complete sentence, and at most 300 words, with the upper limit primarily for longer papers. Included with the footnotes to your paper, but placed before the first footnote, there should be first the 1991 Mathematics Subject Classification representing the primary and secondary subjects of the article, which may be followed by a list of key words and phrases describing the subject matter of the article and taken from it. A list of the numbers may be found in the annual subject index of Mathematical Reviews, published with the December issue starting in 1990. SUBMISSION OF MANUSCRIPT. See the back of this journal. COPYRIGHT TRANSFER AGREEMENT. The signing of a Copyright Transfer Agreement is a requirement for publication. GALLEY PROOF. When a paper with more than one author has been accepted for publication, only one set of galley proof will be sent. Joint authors should, therefore, indicate on the original manuscript which of them should receive galley proof in the event that the manuscript is accepted for publication. BACKLOG. 100 pages. Two-thirds of the papers currently being accepted by the editors will be published in 18 months. SUBSCRIPTION INFORMATION. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY is published monthly. Subscription prices for Volumes 323-328 (1991) are $780 list; $624 institutional member. A late charge of 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Subscribers outside the United States and India must pay a postage surcharge of $27; subscribers in India must pay a postage surcharge of $50. Expedited delivery to destinations in North America $35; elsewhere $127. BACK NUMBER INFORMATION. Back number prices per volume are: for Volumes 78-280, $108 list, $86 institutional members; for Volumes 281-286, $125 list, $100 institutional members; for Vol- umes 287-292, $153 list, $122 institutional members; for Volumes 293-298, $170 list, $136 institutional members; for Volumes 299-304, $182 list, $146 institutional members; for Volumes 305-310, $186 list, $149 institutional members; for Volumes 311-316, $188 list, $150 institutional members; for Volumes 317-322, $179 list, $143 institutional members. Volumes 1-77 may be ordered from Johnson Reprint Corporation, 111 Fifth Avenue, New York, New York 10003. Back numbers may be purchased on micro- film or microfiche from University Microfilms International, 300 North Zeeb Road, Ann Arbor, Michigan 48106. Subscriptions and orders for publications of the American Mathematical Society should be addressed to American Mathematical Society, P. O. Box 1571, Annex Station, Providence, R. I. 02901-1571. All orders must be accompanied by payment. Other correspondence should be addressed to P. O. Box 6248, Providence, R. I. 02940-6248. TRANSACTIONS of the American Mathematical Society is published monthly by the American Mathematical Society at 201 Charles Street, Providence, R. I. 02904-2213. Second-class postage is paid at Providence, Rhode Island. Postmaster: Send address changes to TRANSACTIONS, American Mathe- matical Society, P. O. Box 6248, Providence, R. I. 02940-6248. Copyright © 1991 American Mathematical Society. All rights reserved. Printed in the United States of America Information on Copying and Reprinting can be found at the back of this journal. 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 ^^S-TgX, the American Mathematical Society's Tj:X macro system. 109 8 76 5432 1 96 95 94 93 92 91 Transactions of the American Mathematical Society AUTHOR INDEX 1991, Volumes 323-328 Aarts, J. M. and Oversteegen, L. G. Flowbox manifolds, 327, 449. Adams, Colin, Hildebrand, Martin and Weeks, Jeffrey. Hyperbolic invariants of knots and links, 326, 1. Ahmad, Shair. A nonstandard resonance problem for ordinary differential equations, 323, 857. Akcoglu, M. A. and Bradley, R. E. Alternating sequences and induced operators, 325, 765. Albano, Alberto and Katz, Sheldon. Lines on the Fermât quintic threefold and the infinitesimal generalized Hodge conjecture, 324, 353. Alonso, Juan M. Quasi-projective and relative cohomological dimension of groups, 325, 715. Alspach, Dale E. A characterization of the complemented translation-invariant subspaces ofHlÇR), 323, 197. Andersen, Kenneth F. Weighted inequalities for maximal functions associated with general mea- sures, 326, 907. Anderson, J. M., Fernández, J. L. and Shields, A. L. Inner functions and cyclic vectors in the Bloch space, 323, 429. Anderson, J. M. and Hinkkanen, A. Univalence criteria and quasiconformal extensions, 324, 823. Attouch, Hedy and Wets, Roger J.-B. Quantitative stability of variational systems : I. the epigraph- ical distance, 328, 695. Ball, Keith. Shadows of convex bodies, 327, 891. Ballico, Edoardo. On vector bundles on 3-folds with sectional genus 1, 324, 135. Balogh, Zoltán. On collectionwise normality of locally compact, normal spaces, 323, 389. Bardi, Martino and Soravia, Pierpaolo. Hamilton-Jacobi equations with singular boundary condi- tions on a free boundary and applications to differential games, 325, 205. Beattie, M. See Caenepeel, S. Beer, Gerald and Lucchetti, Roberto. Convex optimization and the epi-distance topology, 327, 795. Beerends, R. J. Chebyshev polynomials in several variables and the radial part of the Laplace- Beltrami operator, 328, 779. Bendersky, Martin and Gitler, Sam. The cohomology of certain function spaces, 326, 423. Benedetto, John J. A multidimensional Wiener-Wintner theorem and spectrum estimation, 327, 833. Benzinger, Harold E. Plane autonomous systems with rational vector fields, 326, 465. Bercovici, Hari, Foias, Ciprian and Tannenbaum, Allen. A spectral commutant lifting theorem, 325,741. Berend, Daniel and Katz, Gabriel. Concentrated cyclic actions of high periodicity, 323, 665. Bergvelt, M. J. and Guest, M. A. Actions of loop groups on harmonic maps, 326, 861. Berhanu, S. Microlocal Holmgren's theorem for a class of hypo-analytic structures, 323, 51. Blasco, O. and Pelczynski, A. Theorems of Hardy and Paley for vector-valued analytic functions and related classes ofBanach spaces, 323, 335. Boggess, A., Dwilewicz, R. and Nagel, A. The hull of holomorphy of a nonisotropic ball in a real hypersurfaceof finite type, 323, 209. Bollobás, Bêla and Brightwell, Graham. Box-spaces and random partial orders, 324, 59. Borwein, J. M. and Borwein, P. B. A cubic counterpart of Jacobi's identity and the AGM, 323, 691. Borwein, J. M. and Lewis, A. S. On the convergence of moment problems, 325, 249. Borwein, P. B. See Borwein, J. M. Boyarsky, A. See Góra, P. Boyer, Charles P., Mann, Benjamin M. and Waggoner, Daniel. On the homology ofSV{n) instan- tons, 323, 529. Boyer, Charles P. and Sánchez Valenzuela, O. A. Lie supergroup actions on supermanifolds, 323, 151. INDEX TO VOLUME 323-328 Bradley, R. E. See Akcoglu, M. A. Bratteli, Ola and Robinson, Derek W. Second-order elliptic operators and heat kernels on Lie groups, 325, 683. Brightwell, Graham. See Bollobás, Bêla Bruns, Winfried, Simis, Aron and Trung, Ngô Viêt. Blow-up of straightening-closed ideals in ordinal Hodge algebras, 326, 507. Buoncristiano, Sandro and Hacon, Derek. Characteristic numbers for unoriented Z-homology man- ifolds,323, 651. Caenepeel, S. and Beattie, M. A cohomological approach to the Brauer-Long group and the groups of Galois extensions and strongly graded rings, 324, 747. Cao, Jianguo. The existence of generalized isothermal coordinates for higher dimensional Riemannian manifolds,324, 901. Carasso, Alfred S. and Kato, Tosio. On subordinated holomorphic semigroups, 327, 867. Carlson, James A. Hypersurface variations are maximal. II, 323, 177. Cauty, Robert. Structure locale de l'espace des rétractions d'une surface, 323, 315. Chen, Shaozhu. Asymptotic integrations of nonoscillatory
Load more

Recommended publications
  • Ζ−1 Using Theorem 1.2
    UC San Diego UC San Diego Electronic Theses and Dissertations Title Ihara zeta functions of irregular graphs Permalink https://escholarship.org/uc/item/3ws358jm Author Horton, Matthew D. Publication Date 2006 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California UNIVERSITY OF CALIFORNIA, SAN DIEGO Ihara zeta functions of irregular graphs A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics by Matthew D. Horton Committee in charge: Professor Audrey Terras, Chair Professor Mihir Bellare Professor Ron Evans Professor Herbert Levine Professor Harold Stark 2006 Copyright Matthew D. Horton, 2006 All rights reserved. The dissertation of Matthew D. Horton is ap- proved, and it is acceptable in quality and form for publication on micro¯lm: Chair University of California, San Diego 2006 iii To my wife and family Never hold discussions with the monkey when the organ grinder is in the room. |Sir Winston Churchill iv TABLE OF CONTENTS Signature Page . iii Dedication . iv Table of Contents . v List of Figures . vii List of Tables . viii Acknowledgements . ix Vita ...................................... x Abstract of the Dissertation . xi 1 Introduction . 1 1.1 Preliminaries . 1 1.2 Ihara zeta function of a graph . 4 1.3 Simplifying assumptions . 8 2 Poles of the Ihara zeta function . 10 2.1 Bounds on the poles . 10 2.2 Relations among the poles . 13 3 Recovering information . 17 3.1 The hope . 17 3.2 Recovering Girth . 18 3.3 Chromatic polynomials and Ihara zeta functions . 20 4 Relations among Ihara zeta functions .
    [Show full text]
  • Ihara Zeta Functions
    Audrey Terras 2/16/2004 fun with zeta and L- functions of graphs Audrey Terras U.C.S.D. February, 2004 IPAM Workshop on Automorphic Forms, Group Theory and Graph Expansion Introduction The Riemann zeta function for Re(s)>1 ∞ 1 −1 ζ ()sp== 1 −−s . ∑ s ∏ () n=1 n pprime= Riemann extended to all complex s with pole at s=1. Functional equation relates value at s and 1-s Riemann hypothesis duality between primes and complex zeros of zeta See Davenport, Multiplicative Number Theory. 1 Audrey Terras 2/16/2004 Graph of |Zeta| Graph of z=| z(x+iy) | showing the pole at x+iy=1 and the first 6 zeros which are on the line x=1/2, of course. The picture was made by D. Asimov and S. Wagon to accompany their article on the evidence for the Riemann hypothesis as of 1986. A. Odlyzko’s Comparison of Spacings of Zeros of Zeta and Eigenvalues of Random Hermitian Matrix. See B. Cipra, What’s Happening in Math. Sciences, 1998-1999. 2 Audrey Terras 2/16/2004 Dedekind zeta of an We’ll algebraic number field F, say where primes become prime more ideals p and infinite product of about number terms field (1-Np-s)-1, zetas Many Kinds of Zeta Np = norm of p = #(O/p), soon O=ring of integers in F but not Selberg zeta Selberg zeta associated to a compact Riemannian manifold M=G\H, H = upper half plane with arc length ds2=(dx2+dy2)y-2 , G=discrete group of real fractional linear transformations primes = primitive closed geodesics C in M of length −+()()sjν C ν(C), Selberg Zs()=− 1 e (primitive means only go Zeta = ∏ ∏( ) around once) []Cj≥ 0 Reference: A.T., Harmonic Analysis on Symmetric Duality between spectrum ∆ on M & lengths closed geodesics in M Spaces and Applications, I.
    [Show full text]
  • Notices of the American Mathematical Society
    • ISSN 0002-9920 March 2003 Volume 50, Number 3 Disks That Are Double Spiral Staircases page 327 The RieITlann Hypothesis page 341 San Francisco Meeting page 423 Primitive curve painting (see page 356) Education is no longer just about classrooms and labs. With the growing diversity and complexity of educational programs, you need a software system that lets you efficiently deliver effective learning tools to literally, the world. Maple® now offers you a choice to address the reality of today's mathematics education. Maple® 8 - the standard Perfect for students in mathematics, sciences, and engineering. Maple® 8 offers all the power, flexibility, and resources your technical students need to manage even the most complex mathematical concepts. MapleNET™ -- online education ,.u A complete standards-based solution for authoring, nv3a~ _r.~ .::..,-;.-:.- delivering, and managing interactive learning modules \~.:...br *'r¥'''' S\l!t"AaITI(!\pU;; ,"", <If through browsers. Derived from the legendary Maple® .Att~~ .. <:t~~::,/, engine, MapleNefM is the only comprehensive solution "f'I!hlislJer~l!'Ct"\ :5 -~~~~~:--r---, for distance education in mathematics. Give your institution and your students cornpetitive edge. For a FREE 3D-day Maple® 8 Trial CD for Windows®, or to register for a FREE MapleNefM Online Seminar call 1/800 R67.6583 or e-mail [email protected]. ADVANCING MATHEMATICS WWW.MAPLESOFT.COM I [email protected]\I I WWW.MAPLEAPPS.COM I NORTH AMERICAN SALES 1/800 267. 6583 © 2003 Woter1oo Ma')Ir~ Inc Maple IS (J y<?glsterc() crademork of Woterloo Maple he Mar)leNet so troc1ema'k of Woter1oc' fV'lop'e Inr PII other trcde,nork$ (ye property o~ their respective ('wners Generic Polynomials Constructive Aspects of the Inverse Galois Problem Christian U.
    [Show full text]
  • Graphs: Random, Chaos, and Quantum
    Graphs: Random, Chaos, and Quantum Matilde Marcolli Fields Institute Program on Geometry and Neuroscience and MAT1845HS: Introduction to Fractal Geometry and Chaos University of Toronto, March 2020 Matilde Marcolli Graphs: Random, Chaos, and Quantum Some References Alex Fornito, Andrew Zalesky, Edward Bullmore, Fundamentals of Brain Network Analysis, Elsevier, 2016 Olaf Sporns, Networks of the Brain, MIT Press, 2010 Olaf Sporns, Discovering the Human Connectome, MIT Press, 2012 Fan Chung, Linyuan Lu, Complex Graphs and Networks, American Mathematical Society, 2004 L´aszl´oLov´asz, Large Networks and Graph Limits, American Mathematical Society, 2012 Matilde Marcolli Graphs: Random, Chaos, and Quantum Graphs G = (V ; E;@) • V = V (G) set of vertices (nodes) • E = E(G) set of edges (connections) • boundary map @ : E(G) ! V (G) × V (G), boundary vertices @(e) = fv; v 0g • directed graph (oriented edges): source and target maps s : E(G) ! V (G); t : E(G) ! V (G);@(e) = fs(e); t(e)g • looping edge: s(e) = t(e) starts and ends at same vertex; parallel edges: e 6= e0 with @(e) = @(e0) • simplifying assumption: graphs G with no parallel edges and no looping edges (sometimes assume one or the other) • additional data: label functions fV : V (G) ! LV and fE : E(G) ! LE to sets of vertex and edge labels LV and LE Matilde Marcolli Graphs: Random, Chaos, and Quantum Examples of Graphs Matilde Marcolli Graphs: Random, Chaos, and Quantum Network Graphs (Example from Facebook) Matilde Marcolli Graphs: Random, Chaos, and Quantum Increasing Randomness rewiring
    [Show full text]
  • Finite Models for Arithmetical Quantum Chaos
    Finite Models for Arithmetical Quantum Chaos Audrey Terras Math. Dept., U.C.S.D., San Diego, Ca 92093-0112 Abstract. Physicists have long studied spectra of Schrödinger operators and random matrices thanks to the implications for quantum mechanics. Analo- gously number theorists and geometers have investigated the statistics of spec- tra of Laplacians on Riemannian manifolds. This has been termed by Sarnak “arithmetic quantum chaos” when the manifolds are quotients of a symmet- ric space modulo an arithmetic group such as the modular group SL(2, Z). Equivalently one seeks the statistics of the zeros of Selberg zeta functions. Parallels with the statistics of the zeros of the Riemann zeta function have been evident to physicists for some time. Here we survey what may be called “finite quantum chaos” seeking connections with the continuous theory. We will also discuss discrete analogue of Selberg’s trace formula as well as Ihara zeta functions of graphs. Part 1 Lecture 1. Finite Models 1. Introduction This is a story of a tree related to the spectral theory of operators on Hilbert spaces. The tree has three branches as in Figure 1. The left branch is that of quantum physics: the statistics of energy levels of quantum mechanical systems; i.e. the eigenvalues of the Schrödinger operator φn = λnφn. The middle branch is that of geometry and number theory. In the middleL we see the spectrum of the Laplace operator = ∆ on a Riemannian manifold M such as the fundamental L domain of the modular group SL(2, Z) of 2 2 integer matrices with determinant 1.
    [Show full text]
  • Quantum Chaos on Discrete Graphs 2
    Quantum chaos on discrete graphs Uzy Smilansky Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel. and Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UK. E-mail: [email protected] Abstract. Adapting a method developed for the study of quantum chaos on quantum (metric) graphs [1], spectral ζ functions and trace formulae for discrete Laplacians on graphs are derived. This is achieved by expressing the spectral secular equation in terms of the periodic orbits of the graph, and obtaining functions which belongs to the class of ζ functions proposed originally by Ihara [2], and expanded by subsequent authors [3, 4]. Finally, a model of “classical dynamics” on the discrete graph is proposed. It is analogous to the corresponding classical dynamics derived for quantum graphs [1]. arXiv:0704.3525v1 [math-ph] 26 Apr 2007 1. Introduction and preliminaries Some ten years ago quantum (metric) graphs were proposed as a convenient paradigm for the study of quantum chaos in compact [1] and scattering [5] systems. The crucial point which highlighted the close similarity between metric graphs - whose only claim to complexity is their topology - and chaotic Hamiltonian flows is the formal similarity between the trace formulae [6, 7] which express the spectral densities as sums over periodic orbits. Requiring additionally that the lengths of the bonds are rationally independent, and that the graph is well connected, render the spectrum of Quantum chaos on discrete graphs 2 the Schr¨odinger operator on graphs sufficiently disordered to display spectral statistics which are consistent with the predictions of Random Matrix Theory.
    [Show full text]
  • Mathematical Physics, Analysis and Geometry
    ISSN 0002-9920 of the American Mathematical Society February 2001 Volume 48, Number 2 Mathematics for Teaching page 168 0 2 0 1 1 Honeycombs and 2 Sums of Hermitian 2 0 Matrices page 175 -3,-3 0 Lawrence Meeting -2,-2,-2 page 276 Las Vegas Meeting page 278 2 2 Hoboken Meeting page 280 -3 -2 -1 -4 -1,-1 2 0 2 0 -4 -2 0 -3 -2 -1 Honeycombs and Tensor Products (see page 186) The ' frl~ te igra·H~n ofrMatfT Type~ett ·rng and-CoFripufer Algebra 'I '\':. l_t •\ \ ,J_! \. Sci e The Gold Standard for Mathematical Publishing and the Easiest-to-Use Computer Algebra System Scientific WorkPlace makes writing and doing mathematics easier than you ever imagined possible. Because Scientific WorkPlace thinks like you do, you can compose and edit your documents directly on the screen, without being forced to think in a programming language. A simple click of a button allows you to typeset your document in lbTE)C . This lets you concentrate on creating a correct paper, while Scientific WorkPlace ensures that it is a beautiful one. With Scientific WorkPlace, you can also compute and plot solutions with the integrated computer algebra system. Increase Your Productivity Scientific WorkPlace enables both professional and support staff to produce stunning results quickly and easily, without having to know TEX™, lbTEX, or computer algebra syntax. And, as an added benefit, MacKichan Software provides free, prompt, and knowledgeable technical support. Visit our homepage for free evaluation copies of all our software. cKichan SOFTWARE, INC . Email: info@mackichan .com • Toll Free: 877-724-9673 • Fax: 206-780-2857 MacKichan Software, Inc.
    [Show full text]
  • 2021 September-October Newsletter
    Newsletter VOLUME 51, NO. 5 • SEPTEMBER–OCTOBER 2021 PRESIDENT’S REPORT This is a fun report to write, where I can share news of AWM’s recent award recognitions. Sometimes hearing about the accomplishments of others can make The purpose of the Association for Women in Mathematics is us feel like we are not good enough. I hope that we can instead feel inspired by the work these people have produced and energized to continue the good work we • to encourage women and girls to ourselves are doing. study and to have active careers in the mathematical sciences, and We’ve honored exemplary Student Chapters. Virginia Tech received the • to promote equal opportunity and award for Scientific Achievement for offering three different research-focused the equal treatment of women and programs during a pandemic year. UC San Diego received the award for Professional girls in the mathematical sciences. Development for offering multiple events related to recruitment and success in the mathematical sciences. Kutztown University received the award for Com- munity Engagement for a series of events making math accessible to a broad community. Finally, Rutgers University received the Fundraising award for their creative fundraising ideas. Congratulations to all your members! AWM is grateful for your work to support our mission. The AWM Research Awards honor excellence in specific research areas. Yaiza Canzani was selected for the AWM-Sadosky Research Prize in Analysis for her work in spectral geometry. Jennifer Balakrishnan was selected for the AWM- Microsoft Research Prize in Algebra and Number Theory for her work in computa- tional number theory.
    [Show full text]
  • President's Report
    Newsletter Volume 48, No. 3 • mAY–JuNe 2018 PRESIDENT’S REPORT Dear AWM Friends, In the past few months, as the AWM has been transitioning to a new management company under our new Executive Director, I have had the oppor- The purpose of the Association tunity to appreciate all that we do as an organization. We have over 150 volunteers for Women in Mathematics is working on 47 committees to support our many programs and activities. It has • to encourage women and girls to led me to reflect on the value of belonging. study and to have active careers Ages ago, when I was about to get my PhD, I received a call that I had in the mathematical sciences, and • to promote equal opportunity and been awarded a university-wide teaching award, which would be recognized at the the equal treatment of women and commencement ceremony. The caller wanted to make sure that I would be there girls in the mathematical sciences. with the appropriate attire (a valid concern). I was elated, of course, and I was very grateful to the people who had nominated me and fought for me to win that award. But it wasn’t until years later that I fully realized how much that effort costs, and how easy it is to assume that the system will recognize those who deserve recognition. In fact, being recognized did make me feel that I belonged to the community: I had something to offer, and that was noticed. The AWM currently administers 21 groups of awards: grants, prizes, special lectures, and other recognitions.
    [Show full text]
  • Institute for Pure and Applied Mathematics at the University of California Los Angeles
    Institute for Pure and Applied Mathematics at the University of California Los Angeles Annual Progress Report NSF Award/Institution #0439872-013151000 Submitted November 30, 2007 TABLE OF CONTENTS EXECUTIVE SUMMARY .................................................................................2 A. PARTICIPANT LIST ...............................................................................4 B. FINANCIAL SUPPORT LIST....................................................................4 C. INCOME AND EXPENDITURE REPORT ....................................................4 D. POSTDOCTORAL PLACEMENT LIST ........................................................5 E. INSTITUTE DIRECTORS’ MEETING REPORT ...........................................5 F. PARTICIPANT SUMMARY.....................................................................10 G. POSTDOCTORAL PROGRAM SUMMARY ................................................11 H. GRADUATE STUDENT PROGRAM SUMMARY .........................................14 I. UNDERGRADUATE STUDENT PROGRAM SUMMARY ..............................20 K. PROGRAM CONSULTANT LIST .............................................................60 L. PUBLICATIONS LIST ...........................................................................72 M. INDUSTRIAL AND GOVERNMENTAL INVOLVEMENT .............................72 N. EXTERNAL SUPPORT ...........................................................................76 O. COMMITTEE MEMBERSHIP ..................................................................77 P. CONTINUING IMPACT
    [Show full text]
  • MATH FILE -Mathematical Reviews Online
    Notices of the American Mathematical Society November 1984, Issue 237 Volume 31 , Number 7, Pages 737- 840 Providence, Rhode Island ·USA JSSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the o(fice of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions.
    [Show full text]
  • Experimental Mathematics
    A Complete Bibliography of Publications in Experimental Mathematics Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 30 March 2021 Version 1.28 Title word cross-reference (((X2 − P )2 − Q)2 − R)2 − S2 [Bre08a]. (−2; 3;n) [GK12]. (1; 2) [EF18]. (2; 3; 6) [Sch06]. (4k + 2) [AJK08]. {−1; 0; 1g [SS06]. 0 [Cum04, Har15]. 1 [BR18, BM00, CF95, Cum04, Fin92]. 1=2 [Car03]. 1/π [Gui06a, Gui06b]. 1/π2 [AG12, Gui06b]. 100 [BCVZ02]. 10651 [MR95]. 1019 [AD07]. 1027 [RT16]. 11 [BLP09, BGKT05, Lep93, LM19]. 1132 [KP08]. 12 [GP94, LM19]. 128 [JM14, Elk01]. 15 [BGKT05, DL92, KO95]. 16 [EMRSE14,´ MTC14]. 19 [CHLM97]. 191 [HPP08]. 1 <n<10 [OM08]. 1: 4 [Kra94]. 2 [AT00, AMM08, BLP09, CD09, Elk01, EL14, KdC05, KV17, Kat10b, Man18, Nic18, RW11, Van17]. 23 [DGKMY15]. 24 [CP03]. 2 × 2 [CILO19, LR17]. 3 [ABL17b, AT00, Ban06, BFG+13, BL00, Bur04, But05, CLLM07, CLT06, CGHN00, Der15, DBG19, EM02, FMP04, Fuk11, GHL19, HS15, HIK+16, Kat10b, KY17, LR07, Sha19, Tan09, Ume09, Web97]. 32 [BN97, CH08a]. 3630 [BCVZ02]. 3n + 1 [LSW99]. 3x + 1 [AL95, BM98, Nic18]. 3x + d [BM98]. 4 [Con06, JK01, RT00, SZ04]. 47 [Tak14]. 5 [De 15a, HS07, Kat10b]. 6 [ALT+12, FP92, FP93, FPDH98, HP08]. 6; 6 [Nil03]. 7 [ALT+12, BGKT05]. 1 2 71 [Tak14]. 8 [ALT+12, BN97, Bur07, FJ96].
    [Show full text]