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Notices of the American Mathematical Society
ISSN 0002-9920 of the American Mathematical Society February 2006 Volume 53, Number 2 Math Circles and Olympiads MSRI Asks: Is the U.S. Coming of Age? page 200 A System of Axioms of Set Theory for the Rationalists page 206 Durham Meeting page 299 San Francisco Meeting page 302 ICM Madrid 2006 (see page 213) > To mak• an antmat•d tub• plot Animated Tube Plot 1 Type an expression in one or :;)~~~G~~~t;~~i~~~~~~~~~~~~~:rtwo ' 2 Wrth the insertion point in the 3 Open the Plot Properties dialog the same variables Tl'le next animation shows • knot Plot 30 Animated + Tube Scientific Word ... version 5.5 Scientific Word"' offers the same features as Scientific WorkPlace, without the computer algebra system. Editors INTERNATIONAL Morris Weisfeld Editor-in-Chief Enrico Arbarello MATHEMATICS Joseph Bernstein Enrico Bombieri Richard E. Borcherds Alexei Borodin RESEARCH PAPERS Jean Bourgain Marc Burger James W. Cogdell http://www.hindawi.com/journals/imrp/ Tobias Colding Corrado De Concini IMRP provides very fast publication of lengthy research articles of high current interest in Percy Deift all areas of mathematics. All articles are fully refereed and are judged by their contribution Robbert Dijkgraaf to the advancement of the state of the science of mathematics. Issues are published as S. K. Donaldson frequently as necessary. Each issue will contain only one article. IMRP is expected to publish 400± pages in 2006. Yakov Eliashberg Edward Frenkel Articles of at least 50 pages are welcome and all articles are refereed and judged for Emmanuel Hebey correctness, interest, originality, depth, and applicability. Submissions are made by e-mail to Dennis Hejhal [email protected]. -
Abstract We Survey the Published Work of Harry Kesten in Probability Theory, with Emphasis on His Contributions to Random Walks
Abstract We survey the published work of Harry Kesten in probability theory, with emphasis on his contributions to random walks, branching processes, perco- lation, and related topics. Keywords Probability, random walk, branching process, random matrix, diffusion limited aggregation, percolation. Mathematics Subject Classification (2010) 60-03, 60G50, 60J80, 60B20, 60K35, 82B20. Noname manuscript No. 2(will be inserted by the editor) Geoffrey R. Grimmett Harry Kesten's work in probability theory Geoffrey R. Grimmett In memory of Harry Kesten, inspiring colleague, valued friend April 8, 2020 1 Overview Harry Kesten was a prominent mathematician and personality in a golden period of probability theory from 1956 to 2018. At the time of Harry's move from the Netherlands to the USA in 1956, as a graduate student aged 24, much of the foundational infrastructure of probability was in place. The central characters of probability had long been identified (including random walk, Brownian motion, the branching process, and the Poisson process), and connections had been made and developed between `pure theory' and cognate areas ranging from physics to finance. In the half-century or so since 1956, a coordinated and refined theory has been developed, and probability has been recognised as a crossroads discipline in mathematical science. Few mathematicians have contributed as much during this period as Harry Kesten. Following a turbulent childhood (see [59]), Harry studied mathematics with David van Dantzig and Jan Hemelrijk in Amsterdam, where in 1955 he attended a lecture by Mark Kac entitled \Some probabilistic aspects of potential theory". This encounter appears to have had a decisive effect, in that Harry moved in 1956 to Cornell University to work with Kac. -
I. Overview of Activities, April, 2005-March, 2006 …
MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 …......……………………. 2 Innovations ………………………………………………………..... 2 Scientific Highlights …..…………………………………………… 4 MSRI Experiences ….……………………………………………… 6 II. Programs …………………………………………………………………….. 13 III. Workshops ……………………………………………………………………. 17 IV. Postdoctoral Fellows …………………………………………………………. 19 Papers by Postdoctoral Fellows …………………………………… 21 V. Mathematics Education and Awareness …...………………………………. 23 VI. Industrial Participation ...…………………………………………………… 26 VII. Future Programs …………………………………………………………….. 28 VIII. Collaborations ………………………………………………………………… 30 IX. Papers Reported by Members ………………………………………………. 35 X. Appendix - Final Reports ……………………………………………………. 45 Programs Workshops Summer Graduate Workshops MSRI Network Conferences MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 This annual report covers MSRI projects and activities that have been concluded since the submission of the last report in May, 2005. This includes the Spring, 2005 semester programs, the 2005 summer graduate workshops, the Fall, 2005 programs and the January and February workshops of Spring, 2006. This report does not contain fiscal or demographic data. Those data will be submitted in the Fall, 2006 final report covering the completed fiscal 2006 year, based on audited financial reports. This report begins with a discussion of MSRI innovations undertaken this year, followed by highlights -
Strength in Numbers: the Rising of Academic Statistics Departments In
Agresti · Meng Agresti Eds. Alan Agresti · Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics DepartmentsStatistics in the U.S. Rising of Academic The in Numbers: Strength Statistics Departments in the U.S. Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. Alan Agresti • Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. 123 Editors Alan Agresti Xiao-Li Meng Department of Statistics Department of Statistics University of Florida Harvard University Gainesville, FL Cambridge, MA USA USA ISBN 978-1-4614-3648-5 ISBN 978-1-4614-3649-2 (eBook) DOI 10.1007/978-1-4614-3649-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012942702 Ó Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. -
Prizes and Awards Session
PRIZES AND AWARDS SESSION Wednesday, July 12, 2021 9:00 AM EDT 2021 SIAM Annual Meeting July 19 – 23, 2021 Held in Virtual Format 1 Table of Contents AWM-SIAM Sonia Kovalevsky Lecture ................................................................................................... 3 George B. Dantzig Prize ............................................................................................................................. 5 George Pólya Prize for Mathematical Exposition .................................................................................... 7 George Pólya Prize in Applied Combinatorics ......................................................................................... 8 I.E. Block Community Lecture .................................................................................................................. 9 John von Neumann Prize ......................................................................................................................... 11 Lagrange Prize in Continuous Optimization .......................................................................................... 13 Ralph E. Kleinman Prize .......................................................................................................................... 15 SIAM Prize for Distinguished Service to the Profession ....................................................................... 17 SIAM Student Paper Prizes .................................................................................................................... -
A Beautiful Math : John Nash, Game Theory, and the Modern Quest for a Code of Nature / Tom Siegfried
A BEAUTIFULA BEAUTIFUL MATH MATH JOHN NASH, GAME THEORY, AND THE MODERN QUEST FOR A CODE OF NATURE TOM SIEGFRIED JOSEPH HENRY PRESS Washington, D.C. Joseph Henry Press • 500 Fifth Street, NW • Washington, DC 20001 The Joseph Henry Press, an imprint of the National Academies Press, was created with the goal of making books on science, technology, and health more widely available to professionals and the public. Joseph Henry was one of the founders of the National Academy of Sciences and a leader in early Ameri- can science. Any opinions, findings, conclusions, or recommendations expressed in this volume are those of the author and do not necessarily reflect the views of the National Academy of Sciences or its affiliated institutions. Library of Congress Cataloging-in-Publication Data Siegfried, Tom, 1950- A beautiful math : John Nash, game theory, and the modern quest for a code of nature / Tom Siegfried. — 1st ed. p. cm. Includes bibliographical references and index. ISBN 0-309-10192-1 (hardback) — ISBN 0-309-65928-0 (pdfs) 1. Game theory. I. Title. QA269.S574 2006 519.3—dc22 2006012394 Copyright 2006 by Tom Siegfried. All rights reserved. Printed in the United States of America. Preface Shortly after 9/11, a Russian scientist named Dmitri Gusev pro- posed an explanation for the origin of the name Al Qaeda. He suggested that the terrorist organization took its name from Isaac Asimov’s famous 1950s science fiction novels known as the Foun- dation Trilogy. After all, he reasoned, the Arabic word “qaeda” means something like “base” or “foundation.” And the first novel in Asimov’s trilogy, Foundation, apparently was titled “al-Qaida” in an Arabic translation. -
Divergence of Shape Fluctuation for General Distributions in First-Passage Percolation
DIVERGENCE OF SHAPE FLUCTUATION FOR GENERAL DISTRIBUTIONS IN FIRST-PASSAGE PERCOLATION SHUTA NAKAJIMA d Abstract. We study the shape fluctuation in the first-passage percolation on Z . It is known that it diverges when the distribution obeys Bernoulli in [Yu Zhang. The divergence of fluctuations for shape in first passage percolation. Probab. Theory. Related. Fields. 136(2) 298–320, 2006]. In this paper, we extend the result to general distributions. 1. Introduction First-passage percolation is a random growth model, which was first introduced by Hammersley and Welsh in 1965. The model is defined as follows. The vertices are the d d elements of Z . Let us denote the set edges by E : d d E = ffv; wgj v; w 2 Z ; jv − wj1 = 1g; Pd where we set jv − wj1 = i=1 jvi − wij for v = (v1; ··· ; vd), w = (w1; ··· ; wd). Note that we consider non-oriented edges in this paper, i.e., fv; wg = fw; vg and we sometimes d regard fv; wg as a subset of Z with a slight abuse of notation. We assign a non-negative d random variable τe on each edge e 2 E , called the passage time of the edge e. The collec- tion τ = fτege2Ed is assumed to be independent and identically distributed with common distribution F . d A path γ is a finite sequence of vertices (x1; ··· ; xl) ⊂ Z such that for any i 2 d f1; ··· ; l − 1g, fxi; xi+1g 2 E . It is customary to regard a path as a subset of edges as follows: given an edge e 2 Ed, we write e 2 γ if there exists i 2 f1 ··· ; l − 1g such that e = fxi; xi+1g. -
OF the AMERICAN MATHEMATICAL SOCIETY 157 Notices February 2019 of the American Mathematical Society
ISSN 0002-9920 (print) ISSN 1088-9477 (online) Notices ofof the American MathematicalMathematical Society February 2019 Volume 66, Number 2 THE NEXT INTRODUCING GENERATION FUND Photo by Steve Schneider/JMM Steve Photo by The Next Generation Fund is a new endowment at the AMS that exclusively supports programs for doctoral and postdoctoral scholars. It will assist rising mathematicians each year at modest but impactful levels, with funding for travel grants, collaboration support, mentoring, and more. Want to learn more? Visit www.ams.org/nextgen THANK YOU AMS Development Offi ce 401.455.4111 [email protected] A WORD FROM... Robin Wilson, Notices Associate Editor In this issue of the Notices, we reflect on the sacrifices and accomplishments made by generations of African Americans to the mathematical sciences. This year marks the 100th birthday of David Blackwell, who was born in Illinois in 1919 and went on to become the first Black professor at the University of California at Berkeley and one of America’s greatest statisticians. Six years after Blackwell was born, in 1925, Frank Elbert Cox was to become the first Black mathematician when he earned his PhD from Cornell University, and eighteen years later, in 1943, Euphemia Lofton Haynes would become the first Black woman to earn a mathematics PhD. By the late 1960s, there were close to 70 Black men and women with PhDs in mathematics. However, this first generation of Black mathematicians was forced to overcome many obstacles. As a Black researcher in America, segregation in the South and de facto segregation elsewhere provided little access to research universities and made it difficult to even participate in professional societies. -
• MVS 2 Konference Českých Matematiků a Valné Shromáždění MVS 6 Soutěž O Cenu Matematické Vědecké Sekce JČMF
Obsah 57 leden • 2002 MVS 2 Konference českých matematiků a Valné shromáždění MVS 6 Soutěž o Cenu Matematické vědecké sekce JČMF 6 SVOČ 2002 7 Zpráva o průběhu SVOČ 2001 9 Výsledky SVOČ 2001 10 Sjezd JČMF 12 33. konference slovenských matematiků v Jasné 12 Velká Fermatova věta – 2. vydání 13 EMS 14 Z obsahu EMS Newsletter č. 41–42 14 200. výročí narození M. Ostrogradského 15 Kalendář Eurokonferencí 15 200. výročí narození M. Ostrogradského 15 Abelova cena – Nobelova cena“ za matematiku 16 ” Congr`es a la mémoire de J.-L. Lions 17 Jacques-Louis Lions 2. 5. 1928–17. 5. 2001 (John Ball) 19 EMS a nové knihy na MFF UK 22 Vydává Matematická vědecká sekce jako členskou neprodejnou publikaci. Adresa re- dakce: Jindřich Bečvář, MÚ UK, Sokolovská 83, 186 00 Praha 8, tel. (+2) 219 13 251, e- mail [email protected]; Jiří Rákosník, MÚ AVČR, Žitná 25, 115 67 Praha 1, tel. (+2) 242 40 550, fax (+2) 242 40 552, e-mail [email protected]. Obálka a grafická úprava Karel Horák, zpracováno programem TEX. 1 MVS Zápis ze 144. (7.) schůze výboru MVS JČMF dne 18. 3. 2000 Přítomni: M. Čadek, M. Kopáčková, J. Kratochvíl, M. Krbec, B. Novák, L. Pick, J. Polák, J. Rákosník, S. Staněk, M. Tvrdý, B. Zelinka, J. Zichová Omluveni: B. Maslowski, J. Franců, J. Rachůnek Hosté: M. Štefánková Program: 1) Členská agenda 2) Finanční agenda 3) SVOČ 4) Různé ad 1) Jednatel M. Krbec stručně seznámil s konečným výsledkem kontroly placení členských příspěvků. Na základě rozhodnutí z minulé schůze výboru dne 1. -
Ericsson's Conjecture on the Rate of Escape Of
TRANSACTIONS of the AMERICAN MATHEMATICAL SOCIETY Volume 240, lune 1978 ERICSSON'SCONJECTURE ON THE RATEOF ESCAPEOF ¿-DIMENSIONALRANDOM WALK BY HARRYKESTEN Abstract. We prove a strengthened form of a conjecture of Erickson to the effect that any genuinely ¿-dimensional random walk S„, d > 3, goes to infinity at least as fast as a simple random walk or Brownian motion in dimension d. More precisely, if 5* is a simple random walk and B, a Brownian motion in dimension d, and \j/i [l,oo)-»(0,oo) a function for which /"'/^(OiO, then \¡/(n)~'\S*\-» oo w.p.l, or equivalent^, ifr(t)~'\Bt\ -»oo w.p.l, iff ffif/(tY~2t~d/2 < oo; if this is the case, then also $(ri)~'\S„\ -» oo w.p.l for any random walk Sn of dimension d. 1. Introduction. Let XX,X2,... be independent identically distributed ran- dom ¿-dimensional vectors and S,, = 2"= XX¡.Assume throughout that d > 3 and that the distribution function F of Xx satisfies supp(P) is not contained in any hyperplane. (1.1) The celebrated Chung-Fuchs recurrence criterion [1, Theorem 6] implies that1 |5n|->oo w.p.l irrespective of F. In [4] Erickson made the much stronger conjecture that there should even exist a uniform escape rate for S„, viz. that «""iSj -* oo w.p.l for all a < \ and all F satisfying (1.1). Erickson proved his conjecture in special cases and proved in all cases that «-a|5„| -» oo w.p.l for a < 1/2 — l/d. Our principal result is the following theorem which contains Erickson's conjecture and which makes precise the intuitive idea that a simple random walk S* (which corresponds to the distribution F* which puts mass (2d)~x at each of the points (0, 0,..., ± 1, 0,..., 0)) goes to infinity slower than any other random walk. -
PROGRAM Sponsors
PROGRAM Sponsors ORGANIZED BY Asociación ICIAM 2019 - Valencia Sociedad Española de Matemática Aplicada INSTITUTIONAL SPONSORS MAIN SPONSORS DISTINGUISHED SPONSORS Sponsors SPONSORS SCHOLARSHIP PROGRAM Basque Center for Applied Universidad de Málaga Mathematics Centre de Recerca Matemàtica Universidad de Murcia Fundación Universidad de Oviedo Universidad Pública de Navarra Universidad Complutense de Madrid Universidad de Santiago de SeMA Sociedad Española de Compostela Sociedad Española de Matemática Aplicada Matemática Aplicada (SEMA) Universitat Autónoma de Universidad de Sevilla Barcelona Universidad Autónoma de Madrid Universitat de València Universidad Carlos III de Madrid Universidad de Valladolid Universitat Jaume I de Castellón Universidad de Vigo Universidad de Cádiz Universidad de Zaragoza Universidad de Cantabria Universidad del País Vasco Universidad de Extremadura Universidad Politécnica de Madrid Universidad de Huelva Universitat Politècnica de València OTHER SPONSORS MEDIA PARTNER OFFICIAL LOCAL TRANSPORT ICIAM Attendees! Visit the SIAM Booth Join SIAM today and get 6 months of membership free! This is your opportunity to join over 14,000 of your peers in applied mathematics and With name computational science at 33% off regular prices. “recognition and worldwide visibility, Network with your peers worldwide and get SIAM is the ideal discounts on SIAM conferences, publications, platform for and journals. promoting applied Subscriptions to SIAM News, SIAM Review, mathematics…in and SIAM Unwrapped e-newsletter are academia, -
An Interview with Martin Davis
Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Geometry Ramanujan‘s Lost Notebook An Introduction to Mathematical of the American Mathematical Society Selected Topics in Plane and Solid Part II Cryptography May 2008 Volume 55, Number 5 Geometry G. E. Andrews, Penn State University, University J. Hoffstein, J. Pipher, J. Silverman, Brown J. Aarts, Delft University of Technology, Park, PA, USA; B. C. Berndt, University of Illinois University, Providence, RI, USA Mediamatics, The Netherlands at Urbana, IL, USA This self-contained introduction to modern This is a book on Euclidean geometry that covers The “lost notebook” contains considerable cryptography emphasizes the mathematics the standard material in a completely new way, material on mock theta functions—undoubtedly behind the theory of public key cryptosystems while also introducing a number of new topics emanating from the last year of Ramanujan’s life. and digital signature schemes. The book focuses Interview with Martin Davis that would be suitable as a junior-senior level It should be emphasized that the material on on these key topics while developing the undergraduate textbook. The author does not mock theta functions is perhaps Ramanujan’s mathematical tools needed for the construction page 560 begin in the traditional manner with abstract deepest work more than half of the material in and security analysis of diverse cryptosystems. geometric axioms. Instead, he assumes the real the book is on q- series, including mock theta Only basic linear algebra is required of the numbers, and begins his treatment by functions; the remaining part deals with theta reader; techniques from algebra, number theory, introducing such modern concepts as a metric function identities, modular equations, and probability are introduced and developed as space, vector space notation, and groups, and incomplete elliptic integrals of the first kind and required.