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The Geometry of Asymptotically Hyperbolic Manifolds a Dissertation Submitted to the Department of Mathematics and the Committee
THE GEOMETRY OF ASYMPTOTICALLY HYPERBOLIC MANIFOLDS A DISSERTATION SUBMITTED TO THE DEPARTMENT OF MATHEMATICS AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY Otis Chodosh June 2015 © 2015 by Otis Avram Chodosh. All Rights Reserved. Re-distributed by Stanford University under license with the author. This work is licensed under a Creative Commons Attribution- Noncommercial 3.0 United States License. http://creativecommons.org/licenses/by-nc/3.0/us/ This dissertation is online at: http://purl.stanford.edu/mp634xn8004 ii I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Simon Brendle, Primary Adviser I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Michael Eichmair, Co-Adviser I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Leon Simon I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Brian White Approved for the Stanford University Committee on Graduate Studies. Patricia J. Gumport, Vice Provost for Graduate Education This signature page was generated electronically upon submission of this dissertation in electronic format. -
All That Math Portraits of Mathematicians As Young Researchers
Downloaded from orbit.dtu.dk on: Oct 06, 2021 All that Math Portraits of mathematicians as young researchers Hansen, Vagn Lundsgaard Published in: EMS Newsletter Publication date: 2012 Document Version Publisher's PDF, also known as Version of record Link back to DTU Orbit Citation (APA): Hansen, V. L. (2012). All that Math: Portraits of mathematicians as young researchers. EMS Newsletter, (85), 61-62. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. -
And CURRENT TRENDS in COMPUTING RSCTC'9b
ROUGH SETS and CURRENT TRENDS in COMPUTING RSCTC'9B Ist1st International Conference June 22-26 Warsaw Poland Professor Edward A. Feigenbaum 7 Stanford University Stanford CA 94305 USA Dear Professor Feigenbaum, on behalf of the organizers, including Professors Pawlak and Skowron, I have the privilege to express our thanks for Your accepting our invitation to act as a Honoraryco-Chair of our Conference. Enclosed please find a copy of the First Call for Papers. With our deepest regards, Sincerely Yours, Lech Polkowski Chair, Organizing Committee - * Rough Set Theory, proposed first by Zdzislaw Pawlak in the early 80's, has recently reached a maturity stage. In recent years we have witnessed a rapid growth of interest in rough set theory and its applications, worldwide. Various real life applications ofrough sets have shown their usefulness in many domains. It is felt useful to sum up the present state ofrough set theory and its applications, outline new areas of development and, last but not least, to work out further relationships with such areas as soft computing, knowledge discovery and data mining, intelligent information systems, synthesis and analysis of complex objects and non-conventional models of computation. Motivated by this, we plan to organize the Conference in Poland, where rough set theory was initiated and originally developed. An important aimof the Conference is to bring together eminent experts from diverse fields of expertise in order to facilitate mutual understanding and cooperation and to help in cooperative work aimed at new hybrid paradigms possibly better suited to various aspects of analysis ofreal life phenomena. We are pleased to announce that the following experts have agreedto serve in the Committees of our Conference. -
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 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
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
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. -
EMS Newsletter September 2012 1 EMS Agenda EMS Executive Committee EMS Agenda
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. Matemática, Faculdade Facultad de Matematicas de Ciências, Edifício C6, Universidad Complutense Piso 2 Campo Grande Mathematical de Madrid 1749-006 Lisboa, Portugal e-mail: [email protected] Plaza de Ciencias 3, 28040 Madrid, Spain Eva-Maria Feichtner e-mail: [email protected] (2012–2015) Society Department of Mathematics Lucia Di Vizio (2012–2016) Université de Versailles- University of Bremen St Quentin 28359 Bremen, Germany e-mail: [email protected] Laboratoire de Mathématiques Newsletter No. 85, September 2012 45 avenue des États-Unis Eva Miranda (2010–2013) 78035 Versailles cedex, France Departament de Matemàtica e-mail: [email protected] Aplicada I EMS Agenda .......................................................................................................................................................... 2 EPSEB, Edifici P Editorial – S. Jackowski ........................................................................................................................... 3 Associate Editors Universitat Politècnica de Catalunya Opening Ceremony of the 6ECM – M. -
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. -
Solomon Marcus Contributions to Theoretical Computer Science and Applications
axioms Commentary Solomon Marcus Contributions to Theoretical Computer Science and Applications Cristian S. Calude 1,*,† and Gheorghe P˘aun 2,† 1 School of Computer Science, University of Auckland, 92019 Auckland, New Zealand 2 Institute of Mathematics, Romanian Academy, 014700 Bucharest, Romania; [email protected] * Correspondence: [email protected] † These authors contributed equally to this work. Abstract: Solomon Marcus (1925–2016) was one of the founders of the Romanian theoretical computer science. His pioneering contributions to automata and formal language theories, mathematical linguistics and natural computing have been widely recognised internationally. In this paper we briefly present his publications in theoretical computer science and related areas, which consist in almost ninety papers. Finally we present a selection of ten Marcus books in these areas. Keywords: automata theory; formal language theory; bio-informatics; recursive function theory 1. Introduction In 2005, on the occasion of the 80th birthday anniversary of Professor Solomon Marcus, the editors of the present volume, both his disciples, together with his friend Professor G. Rozenberg, from Leiden, The Netherlands, have edited a special issue of Fundamenta Citation: Calude, C.S.; P˘aun,G. Informaticae (vol. 64), with the title Contagious Creativity. This syntagma describes accurately Solomon Marcus Contributions to the activity and the character of Marcus, a Renaissance-like personality, with remarkable Theoretical Computer Science and contributions to several research areas (mathematical analysis, mathematical linguistics, Applications. Axioms 2021, 10, 54. theoretical computer science, semiotics, applications of all these in various areas, history https://doi.org/10.3390/axioms and philosophy of science, education), with many disciples in Romania and abroad and 10020054 with a wide recognition all around the world. -
Acad. Solomon Marcus at 85 Years (A Selective Bio-Bibliography)
Int. J. of Computers, Communications & Control, ISSN 1841-9836, E-ISSN 1841-9844 Vol. V (2010), No. 2, pp. 144-147 Acad. Solomon Marcus at 85 Years (A Selective Bio-bibliography) F. G. Filip (Editor in Chief of IJCCC), I. Dzitac (Associate Editor in Chief of IJCCC) Professor Solomon Marcus is one of the seniors of the Romanian science and culture, with a tremen- dously diverse and intensive activity, with numerous, fundamental, and many times pioneering contri- butions to mathematics, mathematical linguistics, formal language theory, semiotics, education, and to other areas, with an impressive internal and international impact and recognition, since several decades very actively involved in the scientific and cultural life – and still as active as ever at his age. That is why the short presentation below is by no means complete, it is only a way to pay our homage to him at his 85th birthday anniversary. We are honored and we thank to professor Solomon Marcus for having the kindness to publish, in the first issue of this journal, an article occasioned by the Moisil centenary1. 1 Biography and General Data Born at March 1, 1925, in Bacau,˘ Romania. Elementary school and high school in Bacau,˘ classified the first at the school-leaving examination (“bacalaureat"), in 1944. Faculty of Science, Mathemat- ics, University of Bucharest, 1945-1949. Assistant professor since 1950, lecturer since 1955, associate professor since 1964, and professor since 1966. Professor Emeritus since 1991, when he retired. All positions held in the Faculty of Mathematics, University of Bucharest. PhD in Mathematics in 1956 (with the thesis about “Monotonous functions of two variables"), State Doctor in Sciences in 1968, both at the University of Bucharest. -
ACTA UNIVERSITATIS APULENSIS No 1 5 / 2008 HOMAGE to THE
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