Report for the Academic Year 1991-1992
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R Mathematics Esearch Eports
Mathematics r research reports M r Boris Hasselblatt, Svetlana Katok, Michele Benzi, Dmitry Burago, Alessandra Celletti, Tobias Holck Colding, Brian Conrey, Josselin Garnier, Timothy Gowers, Robert Griess, Linus Kramer, Barry Mazur, Walter Neumann, Alexander Olshanskii, Christopher Sogge, Benjamin Sudakov, Hugh Woodin, Yuri Zarhin, Tamar Ziegler Editorial Volume 1 (2020), p. 1-3. <http://mrr.centre-mersenne.org/item/MRR_2020__1__1_0> © The journal and the authors, 2020. Some rights reserved. This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/ Mathematics Research Reports is member of the Centre Mersenne for Open Scientific Publishing www.centre-mersenne.org Mathema tics research reports Volume 1 (2020), 1–3 Editorial This is the inaugural volume of Mathematics Research Reports, a journal owned by mathematicians, and dedicated to the principles of fair open access and academic self- determination. Articles in Mathematics Research Reports are freely available for a world-wide audi- ence, with no author publication charges (diamond open access) but high production value, thanks to financial support from the Anatole Katok Center for Dynamical Sys- tems and Geometry at the Pennsylvania State University and to the infrastructure of the Centre Mersenne. The articles in MRR are research announcements of significant ad- vances in all branches of mathematics, short complete papers of original research (up to about 15 journal pages), and review articles (up to about 30 journal pages). They communicate their contents to a broad mathematical audience and should meet high standards for mathematical content and clarity. The entire Editorial Board approves the acceptance of any paper for publication, and appointments to the board are made by the board itself. -
Metabelian Groups with the Same Finite Quotients
BULL. AUSTRAL. MATH. SOC. 20E25, 20EI5, I6A64 VOL. II (1974), 115-120. Metabelian groups with the same finite quotients P.F. Pickel Let F(G) denote the set of isomorphism classes of finite quotients of the group G . Two groups G and H are said to have the same finite quotients if F(G) = T(H) . We construct infinitely many nonisomorphic finitely presented metabelian groups with the same finite quotients, using modules over a suitably chosen ring. These groups also give an example of infinitely many nonisomorphic split extensions of a fixed finitely presented metabelian. group by a fixed finite abelian group, all having the same finite quotients. Let F(G) denote the set of isomorphism classes of finite quotients of the group G . We say groups G and H have the same finite quotients if F(G) = F(fl) . Many examples have been given of nonisomorphic groups with the same finite quotients ([77], [5H, [4], [9], [72]). In each of these examples the groups are polycyclic and the number of nonisomorphic groups with the same finite quotients is finite. In fact, it has been shown ([70]) that for the class of nilpotent-by-finite groups, the number of isomorphism classes of groups with the same finite quotients must always be finite. In this paper, we construct infinitely many nonisomorphic finitely presented metabelian groups with the same finite quotients. Since metabelian groups are residually finite ([7]) and satisfy the maximal condition for normal subgroups ([6]), it seems that rather stringent conditions must hold in order that the number of groups with the same finite quotients be finite. -
Hong Kong SAR
China Data Supplement November 2006 J People’s Republic of China J Hong Kong SAR J Macau SAR J Taiwan ISSN 0943-7533 China aktuell Data Supplement – PRC, Hong Kong SAR, Macau SAR, Taiwan 1 Contents The Main National Leadership of the PRC 2 LIU Jen-Kai The Main Provincial Leadership of the PRC 30 LIU Jen-Kai Data on Changes in PRC Main Leadership 37 LIU Jen-Kai PRC Agreements with Foreign Countries 47 LIU Jen-Kai PRC Laws and Regulations 50 LIU Jen-Kai Hong Kong SAR 54 Political, Social and Economic Data LIU Jen-Kai Macau SAR 61 Political, Social and Economic Data LIU Jen-Kai Taiwan 65 Political, Social and Economic Data LIU Jen-Kai ISSN 0943-7533 All information given here is derived from generally accessible sources. Publisher/Distributor: GIGA Institute of Asian Affairs Rothenbaumchaussee 32 20148 Hamburg Germany Phone: +49 (0 40) 42 88 74-0 Fax: +49 (040) 4107945 2 November 2006 The Main National Leadership of the PRC LIU Jen-Kai Abbreviations and Explanatory Notes CCP CC Chinese Communist Party Central Committee CCa Central Committee, alternate member CCm Central Committee, member CCSm Central Committee Secretariat, member PBa Politburo, alternate member PBm Politburo, member Cdr. Commander Chp. Chairperson CPPCC Chinese People’s Political Consultative Conference CYL Communist Youth League Dep. P.C. Deputy Political Commissar Dir. Director exec. executive f female Gen.Man. General Manager Gen.Sec. General Secretary Hon.Chp. Honorary Chairperson H.V.-Chp. Honorary Vice-Chairperson MPC Municipal People’s Congress NPC National People’s Congress PCC Political Consultative Conference PLA People’s Liberation Army Pol.Com. -
Publications of Members, 1930-1954
THE INSTITUTE FOR ADVANCED STUDY PUBLICATIONS OF MEMBERS 1930 • 1954 PRINCETON, NEW JERSEY . 1955 COPYRIGHT 1955, BY THE INSTITUTE FOR ADVANCED STUDY MANUFACTURED IN THE UNITED STATES OF AMERICA BY PRINCETON UNIVERSITY PRESS, PRINCETON, N.J. CONTENTS FOREWORD 3 BIBLIOGRAPHY 9 DIRECTORY OF INSTITUTE MEMBERS, 1930-1954 205 MEMBERS WITH APPOINTMENTS OF LONG TERM 265 TRUSTEES 269 buH FOREWORD FOREWORD Publication of this bibliography marks the 25th Anniversary of the foundation of the Institute for Advanced Study. The certificate of incorporation of the Institute was signed on the 20th day of May, 1930. The first academic appointments, naming Albert Einstein and Oswald Veblen as Professors at the Institute, were approved two and one- half years later, in initiation of academic work. The Institute for Advanced Study is devoted to the encouragement, support and patronage of learning—of science, in the old, broad, undifferentiated sense of the word. The Institute partakes of the character both of a university and of a research institute j but it also differs in significant ways from both. It is unlike a university, for instance, in its small size—its academic membership at any one time numbers only a little over a hundred. It is unlike a university in that it has no formal curriculum, no scheduled courses of instruction, no commitment that all branches of learning be rep- resented in its faculty and members. It is unlike a research institute in that its purposes are broader, that it supports many separate fields of study, that, with one exception, it maintains no laboratories; and above all in that it welcomes temporary members, whose intellectual development and growth are one of its principal purposes. -
The Bibliography
Referenced Books [Ach92] N. I. Achieser. Theory of Approximation. Dover Publications Inc., New York, 1992. Reprint of the 1956 English translation of the 1st Rus- sian edition; the 2nd augmented Russian edition is available, Moscow, Nauka, 1965. [AH05] Kendall Atkinson and Weimin Han. Theoretical Numerical Analysis: A Functional Analysis Framework, volume 39 of Texts in Applied Mathe- matics. Springer, New York, second edition, 2005. [Atk89] Kendall E. Atkinson. An Introduction to Numerical Analysis. John Wiley & Sons Inc., New York, second edition, 1989. [Axe94] Owe Axelsson. Iterative Solution Methods. Cambridge University Press, Cambridge, 1994. [Bab86] K. I. Babenko. Foundations of Numerical Analysis [Osnovy chislennogo analiza]. Nauka, Moscow, 1986. [Russian]. [BD92] C. A. Brebbia and J. Dominguez. Boundary Elements: An Introductory Course. Computational Mechanics Publications, Southampton, second edition, 1992. [Ber52] S. N. Bernstein. Collected Works. Vol. I. The Constructive Theory of Functions [1905–1930]. Izdat. Akad. Nauk SSSR, Moscow, 1952. [Russian]. [Ber54] S. N. Bernstein. Collected Works. Vol. II. The Constructive Theory of Functions [1931–1953]. Izdat. Akad. Nauk SSSR, Moscow, 1954. [Russian]. [BH02] K. Binder and D. W. Heermann. Monte Carlo Simulation in Statistical Physics: An Introduction, volume 80 of Springer Series in Solid-State Sciences. Springer-Verlag, Berlin, fourth edition, 2002. [BHM00] William L. Briggs, Van Emden Henson, and Steve F. McCormick. A Multigrid Tutorial. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, second edition, 2000. [Boy01] John P. Boyd. Chebyshev and Fourier Spectral Methods. Dover Publi- cations Inc., Mineola, NY, second edition, 2001. [Bra84] Achi Brandt. Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, volume 85 of GMD-Studien [GMD Studies]. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
HCS — History of Classical Scholarship
ISSN: 2632-4091 History of Classical Scholarship www.hcsjournal.org ISSUE 1 (2019) Dedication page for the Historiae by Herodotus, printed at Venice, 1494 The publication of this journal has been co-funded by the Department of Humanities of Ca’ Foscari University of Venice and the School of History, Classics and Archaeology of Newcastle University Editors Lorenzo CALVELLI Federico SANTANGELO (Venezia) (Newcastle) Editorial Board Luciano CANFORA Marc MAYER (Bari) (Barcelona) Jo-Marie CLAASSEN Laura MECELLA (Stellenbosch) (Milano) Massimiliano DI FAZIO Leandro POLVERINI (Pavia) (Roma) Patricia FORTINI BROWN Stefan REBENICH (Princeton) (Bern) Helena GIMENO PASCUAL Ronald RIDLEY (Alcalá de Henares) (Melbourne) Anthony GRAFTON Michael SQUIRE (Princeton) (London) Judith P. HALLETT William STENHOUSE (College Park, Maryland) (New York) Katherine HARLOE Christopher STRAY (Reading) (Swansea) Jill KRAYE Daniela SUMMA (London) (Berlin) Arnaldo MARCONE Ginette VAGENHEIM (Roma) (Rouen) Copy-editing & Design Thilo RISING (Newcastle) History of Classical Scholarship Issue () TABLE OF CONTENTS LORENZO CALVELLI, FEDERICO SANTANGELO A New Journal: Contents, Methods, Perspectives i–iv GERARD GONZÁLEZ GERMAIN Conrad Peutinger, Reader of Inscriptions: A Note on the Rediscovery of His Copy of the Epigrammata Antiquae Urbis (Rome, ) – GINETTE VAGENHEIM L’épitaphe comme exemplum virtutis dans les macrobies des Antichi eroi et huomini illustri de Pirro Ligorio ( c.–) – MASSIMILIANO DI FAZIO Gli Etruschi nella cultura popolare italiana del XIX secolo. Le indagini di Charles G. Leland – JUDITH P. HALLETT The Legacy of the Drunken Duchess: Grace Harriet Macurdy, Barbara McManus and Classics at Vassar College, – – LUCIANO CANFORA La lettera di Catilina: Norden, Marchesi, Syme – CHRISTOPHER STRAY The Glory and the Grandeur: John Clarke Stobart and the Defence of High Culture in a Democratic Age – ILSE HILBOLD Jules Marouzeau and L’Année philologique: The Genesis of a Reform in Classical Bibliography – BEN CARTLIDGE E.R. -
CV Tom Lubensky (3/30/2011)
CV Tom Lubensky (3/30/2011) Department of Physics and Astronomy Tel: (215) 898-7002 University of Pennsylvania Fax: (215) 573-3897 Philadelphia, PA 19104-6396 Email: [email protected] Professional Preparation: California Institute of Technology Physics B.S. 1964 Harvard University Physics M.A. 1965 Harvard University Physics Ph.D. 1969 Appointments: 2009- Christopher H. Browne Distinguished Professor of Physics, University of Pennsylvania 2001-2009 Chair, Department of Physics and Astronomy, University of Pennsylvania 2001 Poste Rouge au CNRS, Ecole Normale Supérieure, Lyon, France 1998-2009 Mary Amanda Wood Chair of Physics, University of Pennsylvania 1998-2001 Associate Director, Laboratory for Research in the Structure of Matter, University of Pennsylvania 1990-95 Consultant EXXON Research and Engineering, Annandale, New Jersey 1989-90 Visiting Research Associate at the Ecole Supérieure de Physique et de Chimie Industrielles (ESPCI) de la Ville de Paris (Poste Rouge au CNRS) 1981-82 Visiting Professor at the Ecole Normale Supérieure, Paris, France 1980 Professor, University of Pennsylvania 1976 Research Associate, Harvard University 1975-80 Associate Professor, University of Pennsylvania 1971-75 Assistant Professor, University of Pennsylvania 1970-71 Postdoctoral Fellow, Brown University 1969-70 NSF Postdoctoral Fellow, University of Paris, Orsay, France Honors and Awards: 2010 Michelin Professor at the Ecole École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI) 2008 Elected to the American Academy of Arts and Sciences 2004 Honored Member of the International Liquid Crystal Society 2004 Oliver E. Buckley Prize of the American Physical Society 2002 Elected to the National Academy of Sciences 2000 Fellow, American Association for the Advancement of Science 1985 Fellow, American Physical Society 1981 Guggenheim Fellow 1975-77 Alfred P. -
Vorticity and Incompressible Flow - Andrew J
Cambridge University Press 0521630576 - Vorticity and Incompressible Flow - Andrew J. Majda and Andrea L. Bertozzi Frontmatter More information Vorticity and Incompressible Flow This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. Although the contents center on mathematical theory, many parts of the book showcase the interactions among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow. Andrew J. Majda is the Samuel Morse Professor of Arts and Sciences at the Courant Institute of Mathematical Sciences of New York University. He is a member of the National Academy of Sciences and has received numerous honors and awards includ- ing the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the American Mathematical Society and an honorary Ph.D. degree from Purdue University. Majda is well known for both his theoretical contributions to partial differential equations and his applied contributions to diverse areas besides in- compressible flow such as scattering theory, shock waves, combustion, vortex motion and turbulent diffusion. His current applied research interests are centered around Atmosphere/Ocean science. Andrea L. Bertozzi is Professor of Mathematics and Physics at Duke University. She has received several honors including a Sloan Research Fellowship (1995) and the Presidential Early Career Award for Scientists and Engineers (PECASE). Her research accomplishments in addition to incompressible flow include both theoretical and applied contributions to the understanding of thin liquid films and moving contact lines. -
Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011
Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 TABLE OF CONTENTS EXECUTIVE SUMMARY 2 A. PARTICIPANT LIST 3 B. FINANCIAL SUPPORT LIST 4 C. INCOME AND EXPENDITURE REPORT 4 D. POSTDOCTORAL PLACEMENT LIST 5 E. INSTITUTE DIRECTORS‘ MEETING REPORT 6 F. PARTICIPANT SUMMARY 12 G. POSTDOCTORAL PROGRAM SUMMARY 13 H. GRADUATE STUDENT PROGRAM SUMMARY 14 I. UNDERGRADUATE STUDENT PROGRAM SUMMARY 15 J. PROGRAM DESCRIPTION 15 K. PROGRAM CONSULTANT LIST 38 L. PUBLICATIONS LIST 50 M. INDUSTRIAL AND GOVERNMENTAL INVOLVEMENT 51 N. EXTERNAL SUPPORT 52 O. COMMITTEE MEMBERSHIP 53 P. CONTINUING IMPACT OF PAST IPAM PROGRAMS 54 APPENDIX 1: PUBLICATIONS (SELF-REPORTED) 2009-2010 58 Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 EXECUTIVE SUMMARY Highlights of IPAM‘s accomplishments and activities of the fiscal year 2009-2010 include: IPAM held two long programs during 2009-2010: o Combinatorics (fall 2009) o Climate Modeling (spring 2010) IPAM‘s 2010 winter workshops continued the tradition of focusing on emerging topics where Mathematics plays an important role: o New Directions in Financial Mathematics o Metamaterials: Applications, Analysis and Modeling o Mathematical Problems, Models and Methods in Biomedical Imaging o Statistical and Learning-Theoretic Challenges in Data Privacy IPAM sponsored reunion conferences for four long programs: Optimal Transport, Random Shapes, Search Engines and Internet MRA IPAM sponsored three public lectures since August. Noga Alon presented ―The Combinatorics of Voting Paradoxes‖ on October 5, 2009. Pierre-Louis Lions presented ―On Mean Field Games‖ on January 5, 2010. -
Journal of Current Chinese Affairs
China Data Supplement May 2007 J People’s Republic of China J Hong Kong SAR J Macau SAR J Taiwan ISSN 0943-7533 China aktuell Data Supplement – PRC, Hong Kong SAR, Macau SAR, Taiwan 1 Contents The Main National Leadership of the PRC .......................................................................... 2 LIU Jen-Kai The Main Provincial Leadership of the PRC ..................................................................... 30 LIU Jen-Kai Data on Changes in PRC Main Leadership ...................................................................... 37 LIU Jen-Kai PRC Agreements with Foreign Countries ......................................................................... 42 LIU Jen-Kai PRC Laws and Regulations .............................................................................................. 44 LIU Jen-Kai Hong Kong SAR ................................................................................................................ 45 LIU Jen-Kai Macau SAR ....................................................................................................................... 52 LIU Jen-Kai Taiwan .............................................................................................................................. 56 LIU Jen-Kai ISSN 0943-7533 All information given here is derived from generally accessible sources. Publisher/Distributor: GIGA Institute of Asian Studies Rothenbaumchaussee 32 20148 Hamburg Germany Phone: +49 (0 40) 42 88 74-0 Fax: +49 (040) 4107945 2 May 2007 The Main National Leadership of the PRC -
Implicit Particle Filters for Data Assimilation Alexandre Chorin, Matthias Morzfeldand Xuemin Tu
Communications in Applied Mathematics and Computational Science IMPLICIT PARTICLE FILTERS FOR DATA ASSIMILATION ALEXANDRE CHORIN, MATTHIAS MORZFELD AND XUEMIN TU vol. 5 no. 2 2010 mathematical sciences publishers COMM. APP. MATH. AND COMP. SCI. Vol. 5, No. 2, 2010 IMPLICIT PARTICLE FILTERS FOR DATA ASSIMILATION ALEXANDRE CHORIN, MATTHIAS MORZFELD AND XUEMIN TU Implicit particle filters for data assimilation update the particles by first choosing probabilities and then looking for particle locations that assume them, guiding the particles one by one to the high probability domain. We provide a detailed description of these filters, with illustrative examples, together with new, more general, methods for solving the algebraic equations and with a new algorithm for parameter identification. 1. Introduction There are many problems in science, for example in meteorology and economics, in which the state of a system must be identified from an uncertain equation supplemented by noisy data (see, for instance,[9; 22]). A natural model of this situation consists of an Ito stochastic differential equation (SDE): dx D f .x; t/ dt C g.x; t/ dw; (1) where x D .x1; x2;:::; xm/ is an m-dimensional vector, f is an m-dimensional vector function, g.x; t/ is an m by m matrix, and w is Brownian motion which encapsulates all the uncertainty in the model. In the present paper we assume for simplicity that the matrix g.x; t/ is diagonal. The initial state x.0/ is given and may be random as well. The SDE is supplemented by measurements bn at times tn, n D 0; 1;::: .