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Memorial Resolution George Bernard Dantzig (1914–2005)
MEMORIAL RESOLUTION GEORGE BERNARD DANTZIG (1914–2005) George Bernard Dantzig, the C. A. Criley Professor of Transportation Sciences and Professor of Operations Research and of Computer Science, Emeritus, died at his campus home on May 13, 2005 at age 90. Born on November 8, 1914 in Portland, Oregon, George Dantzig was given the middle name “Bernard” as an expression of his parents’ hope that he would become a writer. This was not to be, even though late in his life George was engaged in writing a novel. Instead, George became a mathematician. He graduated from the University of Maryland with an A.B. in mathematics and physics (1936) and took his M.A. in mathematics from the University of Michigan (1938). After a two-year period at the Bureau of Labor Statistics, he enrolled in the doctoral program in mathematics at the University of California, Berkeley, with the intention of writing his dissertation on mathematical statistics under the supervision of Jerzy Neyman. Arriving late to one of Neyman’s lectures, George copied down two problem statements from the blackboard thinking they were a homework assignment. George found these problems challenging. After a while though, he was able to solve them both and turned them in to the professor. As it happened, the problems were not just exercises but open questions in the field. The solutions to these problems became the two independent parts of George’s doctoral dissertation. With the outbreak of World War II, George took a leave of absence from the doctoral program at Berkeley to join the U.S. -
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. -
The Meaning of Probability
CHAPTER 2 THE MEANING OF PROBABILITY INTRODUCTION by Glenn Shafer The meaning of probability has been debated since the mathematical theory of probability was formulated in the late 1600s. The five articles in this section have been selected to provide perspective on the history and present state of this debate. Mathematical statistics provided the main arena for debating the meaning of probability during the nineteenth and early twentieth centuries. The debate was conducted mainly between two camps, the subjectivists and the frequentists. The subjectivists contended that the probability of an event is the degree to which someone believes it, as indicated by their willingness to bet or take other actions. The frequentists contended that probability of an event is the frequency with which it occurs. Leonard J. Savage (1917-1971), the author of our first article, was an influential subjectivist. Bradley Efron, the author of our second article, is a leading contemporary frequentist. A newer debate, dating only from the 1950s and conducted more by psychologists and economists than by statisticians, has been concerned with whether the rules of probability are descriptive of human behavior or instead normative for human and machine reasoning. This debate has inspired empirical studies of the ways people violate the rules. In our third article, Amos Tversky and Daniel Kahneman report on some of the results of these studies. In our fourth article, Amos Tversky and I propose that we resolve both debates by formalizing a constructive interpretation of probability. According to this interpretation, probabilities are degrees of belief deliberately constructed and adopted on the basis of evidence, and frequencies are only one among many types of evidence. -
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 -
Front Matter
Cambridge University Press 978-0-521-14577-0 - Probability and Mathematical Genetics Edited by N. H. Bingham and C. M. Goldie Frontmatter More information LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom The titles below are available from booksellers, or from Cambridge University Press at www.cambridge.org/mathematics 300 Introduction to M¨obiusdifferential geometry, U. HERTRICH-JEROMIN 301 Stable modules and the D(2)-problem, F. E. A. JOHNSON 302 Discrete and continuous nonlinear Schr¨odingersystems, M. J. ABLOWITZ, B. PRINARI & A. D. TRUBATCH 303 Number theory and algebraic geometry, M. REID & A. SKOROBOGATOV (eds) 304 Groups St Andrews 2001 in Oxford I, C. M. CAMPBELL, E. F. ROBERTSON & G. C. SMITH (eds) 305 Groups St Andrews 2001 in Oxford II, C. M. CAMPBELL, E. F. ROBERTSON & G. C. SMITH (eds) 306 Geometric mechanics and symmetry, J. MONTALDI & T. RATIU (eds) 307 Surveys in combinatorics 2003, C. D. WENSLEY (ed.) 308 Topology, geometry and quantum field theory, U. L. TILLMANN (ed) 309 Corings and comodules, T. BRZEZINSKI & R. WISBAUER 310 Topics in dynamics and ergodic theory, S. BEZUGLYI & S. KOLYADA (eds) 311 Groups: topological, combinatorial and arithmetic aspects, T. W. MULLER¨ (ed) 312 Foundations of computational mathematics, Minneapolis 2002, F. CUCKER et al (eds) 313 Transcendental aspects of algebraic cycles, S. MULLER-STACH¨ & C. PETERS (eds) 314 Spectral generalizations of line graphs, D. CVETKOVIC,´ P. ROWLINSON & S. SIMIC´ 315 Structured ring spectra, A. BAKER & B. RICHTER (eds) 316 Linear logic in computer science, T. EHRHARD, P. -
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. -
Cramer, and Rao
2000 PARZEN PRIZE FOR STATISTICAL INNOVATION awarded by TEXAS A&M UNIVERSITY DEPARTMENT OF STATISTICS to C. R. RAO April 24, 2000 292 Breezeway MSC 4 pm Pictures from Parzen Prize Presentation and Reception, 4/24/2000 The 2000 EMANUEL AND CAROL PARZEN PRIZE FOR STATISTICAL INNOVATION is awarded to C. Radhakrishna Rao (Eberly Professor of Statistics, and Director of the Center for Multivariate Analysis, at the Pennsylvania State University, University Park, PA 16802) for outstanding distinction and eminence in research on the theory of statistics, in applications of statistical methods in diverse fields, in providing international leadership for 55 years in directing statistical research centers, in continuing impact through his vision and effectiveness as a scholar and teacher, and in extensive service to American and international society. The year 2000 motivates us to plan for the future of the discipline of statistics which emerged in the 20th century as a firmly grounded mathematical science due to the pioneering research of Pearson, Gossett, Fisher, Neyman, Hotelling, Wald, Cramer, and Rao. Numerous honors and awards to Rao demonstrate the esteem in which he is held throughout the world for his unusually distinguished and productive life. C. R. Rao was born September 10, 1920, received his Ph.D. from Cambridge University (England) in 1948, and has been awarded 22 honorary doctorates. He has worked at the Indian Statistical Institute (1944-1992), University of Pittsburgh (1979- 1988), and Pennsylvania State University (1988- ). Professor Rao is the author (or co-author) of 14 books and over 300 publications. His pioneering contributions (in linear models, multivariate analysis, design of experiments and combinatorics, probability distribution characterizations, generalized inverses, and robust inference) are taught in statistics textbooks. -
ZCWPW1 Is Recruited to Recombination Hotspots by PRDM9
RESEARCH ARTICLE ZCWPW1 is recruited to recombination hotspots by PRDM9 and is essential for meiotic double strand break repair Daniel Wells1,2†*, Emmanuelle Bitoun1,2†*, Daniela Moralli1, Gang Zhang1, Anjali Hinch1, Julia Jankowska1, Peter Donnelly1,2, Catherine Green1, Simon R Myers1,2* 1The Wellcome Centre for Human Genetics, Roosevelt Drive, University of Oxford, Oxford, United Kingdom; 2Department of Statistics, University of Oxford, Oxford, United Kingdom Abstract During meiosis, homologous chromosomes pair and recombine, enabling balanced segregation and generating genetic diversity. In many vertebrates, double-strand breaks (DSBs) initiate recombination within hotspots where PRDM9 binds, and deposits H3K4me3 and H3K36me3. However, no protein(s) recognising this unique combination of histone marks have been identified. We identified Zcwpw1, containing H3K4me3 and H3K36me3 recognition domains, as having highly correlated expression with Prdm9. Here, we show that ZCWPW1 has co-evolved with PRDM9 and, in human cells, is strongly and specifically recruited to PRDM9 binding sites, with higher affinity than sites possessing H3K4me3 alone. Surprisingly, ZCWPW1 also recognises CpG dinucleotides. Male Zcwpw1 knockout mice show completely normal DSB positioning, but persistent DMC1 foci, severe DSB repair and synapsis defects, and downstream sterility. Our findings suggest ZCWPW1 recognition of PRDM9-bound sites at DSB hotspots is critical for *For correspondence: synapsis, and hence fertility. [email protected] (DW); [email protected] (EB); [email protected] (SRM) †These authors contributed Introduction equally to this work Meiosis is a specialised cell division, producing haploid gametes essential for reproduction. Uniquely, during this process homologous maternal and paternal chromosomes pair and exchange Competing interests: The DNA (recombine) before undergoing balanced independent segregation. -
Proceedings of the Fourth Berkeley Symposium
PROCEEDINGS OF THE FOURTH BERKELEY SYMPOSIUM VOLUME III PROCEEDINGS of the FOURTH BERKELEY SYMPOSIUM ON MATHEMATICAL STATISTICS AND PROBABILITY Held at the Statistical Laboratory University of California June 20-jtuly 30, 1960, with the support of University of California National Science Foundation Office of Naval Research Office of Ordnance Research Air Force Office of Research National Institutes of Health VOLUME III CONTRIBUTIONS TO ASTRONOMY, METEOROLOGY, AND PHYSICS EDITED BY JERZY NEYMAN UNIVERSITY OF CALIFORNIA PRESS BERKELEY AND LOS ANGELES 1961 UNIVERSITY OF CALIFORNIA PRESS BERKELEY AND LOS ANGELES CALIFORNIA CAMBRIDGE UNIVERSITY PRESS LONDON, ENGLAND © 1961, BY THE REGENTS OF THE UNIVERSITY OF CALIFORNIA The United States Government and its offices, agents, an I em- ployees, acting within the scope of their duties, may reproduce, publish, and use this material in whole or in part for governmental purposes without payment of royalties thereon or therefor. The publication or republication by the government either separately or in a public document of any material in which copyright subsists shall not be taken to cause any abridgment or annulment of the copyright or to authorize any use or appropriation of such copy- right material without the consent of the copyright proprietor. LIBRARY OF CONGRESS CATALOG CARD NUMBER: 49-8189 PRINTED IN THE UNITED STATES OF AMERICA CONTENTS OF PROCEEDINGS, VOLUMES I, II, AND IV Volume I-Theory of Statistics F. J. ANSCOMBE, Examination of residuals. RICHARD BELLMAN, A mathematical formulation of variational processes of adaptive type. Z. W. BIRNBAUM, On the probabil- istic theory of complex structuires. DAVID BLACKWELL, Exponential error bounds for finite state channels. -
Academic Genealogy of the Oakland University Department Of
Basilios Bessarion Mystras 1436 Guarino da Verona Johannes Argyropoulos 1408 Università di Padova 1444 Academic Genealogy of the Oakland University Vittorino da Feltre Marsilio Ficino Cristoforo Landino Università di Padova 1416 Università di Firenze 1462 Theodoros Gazes Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Angelo Poliziano Florens Florentius Radwyn Radewyns Geert Gerardus Magnus Groote Università di Mantova 1433 Università di Mantova Università di Firenze 1477 Constantinople 1433 DepartmentThe Mathematics Genealogy Project of is a serviceMathematics of North Dakota State University and and the American Statistics Mathematical Society. Demetrios Chalcocondyles http://www.mathgenealogy.org/ Heinrich von Langenstein Gaetano da Thiene Sigismondo Polcastro Leo Outers Moses Perez Scipione Fortiguerra Rudolf Agricola Thomas von Kempen à Kempis Jacob ben Jehiel Loans Accademia Romana 1452 Université de Paris 1363, 1375 Université Catholique de Louvain 1485 Università di Firenze 1493 Università degli Studi di Ferrara 1478 Mystras 1452 Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes von Gmunden Nicoletto Vernia Pietro Roccabonella Pelope Maarten (Martinus Dorpius) van Dorp Jean Tagault François Dubois Janus Lascaris Girolamo (Hieronymus Aleander) Aleandro Matthaeus Adrianus Alexander Hegius Johannes Stöffler Collège Sainte-Barbe 1474 Universität Basel 1477 Universität Wien 1406 Università di Padova Università di Padova Université Catholique de Louvain 1504, 1515 Université de Paris 1516 Università di Padova 1472 Università -
Elect New Council Members
Volume 43 • Issue 3 IMS Bulletin April/May 2014 Elect new Council members CONTENTS The annual IMS elections are announced, with one candidate for President-Elect— 1 IMS Elections 2014 Richard Davis—and 12 candidates standing for six places on Council. The Council nominees, in alphabetical order, are: Marek Biskup, Peter Bühlmann, Florentina Bunea, Members’ News: Ying Hung; 2–3 Sourav Chatterjee, Frank Den Hollander, Holger Dette, Geoffrey Grimmett, Davy Philip Protter, Raymond Paindaveine, Kavita Ramanan, Jonathan Taylor, Aad van der Vaart and Naisyin Wang. J. Carroll, Keith Crank, You can read their statements starting on page 8, or online at http://www.imstat.org/ Bani K. Mallick, Robert T. elections/candidates.htm. Smythe and Michael Stein; Electronic voting for the 2014 IMS Elections has opened. You can vote online using Stephen Fienberg; Alexandre the personalized link in the email sent by Aurore Delaigle, IMS Executive Secretary, Tsybakov; Gang Zheng which also contains your member ID. 3 Statistics in Action: A If you would prefer a paper ballot please contact IMS Canadian Outlook Executive Director, Elyse Gustafson (for contact details see the 4 Stéphane Boucheron panel on page 2). on Big Data Elections close on May 30, 2014. If you have any questions or concerns please feel free to 5 NSF funding opportunity e [email protected] Richard Davis contact Elyse Gustafson . 6 Hand Writing: Solving the Right Problem 7 Student Puzzle Corner 8 Meet the Candidates 13 Recent Papers: Probability Surveys; Stochastic Systems 15 COPSS publishes 50th Marek Biskup Peter Bühlmann Florentina Bunea Sourav Chatterjee anniversary volume 16 Rao Prize Conference 17 Calls for nominations 19 XL-Files: My Valentine’s Escape 20 IMS meetings Frank Den Hollander Holger Dette Geoffrey Grimmett Davy Paindaveine 25 Other meetings 30 Employment Opportunities 31 International Calendar 35 Information for Advertisers Read it online at Kavita Ramanan Jonathan Taylor Aad van der Vaart Naisyin Wang http://bulletin.imstat.org IMSBulletin 2 . -
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.