IMS Bulletin 45(5)
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Blueprint Staff Magazine for the University of Oxford | September 2016
blueprint Staff magazine for the University of Oxford | September 2016 Chemistry’s organic growth | Secrets of successful spelling | Oxford time News in brief u Oxford has topped the Times Higher research fellow at the college, set off at 6.30am Education World University Rankings for and arrived at Homerton, Harris Manchester’s 2016–17 – the first time in the 13-year history of twin college, in the afternoon. OxfordUniversity Images/Rob Judges the rankings that a UK institution has secured the top spot. The rankings judge research-intensive u The University’s phone system is being universities across five areas: teaching, research, replaced by a new service called Chorus. citations, international outlook and knowledge The service is being rolled out on a building- transfer. In total UK institutions took 91 of the by-building basis between autumn 2016 and 980 places, with the University of Cambridge spring 2018. Chorus will deliver replacement (fourth) and Imperial College London (eighth) phones together with access to a web portal, also making the top ten. which will provide additional functionality such as managing your voicemail, accessing u The University and local NHS partners have your call history, and sending and receiving won £126.5m to support medical research. instant messages. Details at https://projects.it. The money, from the National Institute for ox.ac.uk/icp. Health Research, includes £113.7m for the existing University of Oxford/Oxford University u The University has opened a new nursery Hospitals Biomedical Research Centre, and on the Old Road Campus in Headington, £12.8m for a new Biomedical Research Centre bringing the total number of University-owned specialising in mental health and dementia, nurseries to five. -
Elect Your Council
Volume 41 • Issue 3 IMS Bulletin April/May 2012 Elect your Council Each year IMS holds elections so that its members can choose the next President-Elect CONTENTS of the Institute and people to represent them on IMS Council. The candidate for 1 IMS Elections President-Elect is Bin Yu, who is Chancellor’s Professor in the Department of Statistics and the Department of Electrical Engineering and Computer Science, at the University 2 Members’ News: Huixia of California at Berkeley. Wang, Ming Yuan, Allan Sly, The 12 candidates standing for election to the IMS Council are (in alphabetical Sebastien Roch, CR Rao order) Rosemary Bailey, Erwin Bolthausen, Alison Etheridge, Pablo Ferrari, Nancy 4 Author Identity and Open L. Garcia, Ed George, Haya Kaspi, Yves Le Jan, Xiao-Li Meng, Nancy Reid, Laurent Bibliography Saloff-Coste, and Richard Samworth. 6 Obituary: Franklin Graybill The elected Council members will join Arnoldo Frigessi, Steve Lalley, Ingrid Van Keilegom and Wing Wong, whose terms end in 2013; and Sandrine Dudoit, Steve 7 Statistical Issues in Assessing Hospital Evans, Sonia Petrone, Christian Robert and Qiwei Yao, whose terms end in 2014. Performance Read all about the candidates on pages 12–17, and cast your vote at http://imstat.org/elections/. Voting is open until May 29. 8 Anirban’s Angle: Learning from a Student Left: Bin Yu, candidate for IMS President-Elect. 9 Parzen Prize; Recent Below are the 12 Council candidates. papers: Probability Surveys Top row, l–r: R.A. Bailey, Erwin Bolthausen, Alison Etheridge, Pablo Ferrari Middle, l–r: Nancy L. Garcia, Ed George, Haya Kaspi, Yves Le Jan 11 COPSS Fisher Lecturer Bottom, l–r: Xiao-Li Meng, Nancy Reid, Laurent Saloff-Coste, Richard Samworth 12 Council Candidates 18 Awards nominations 19 Terence’s Stuff: Oscars for Statistics? 20 IMS meetings 24 Other meetings 27 Employment Opportunities 28 International Calendar of Statistical Events 31 Information for Advertisers IMS Bulletin 2 . -
Collision Times of Random Walks and Applications to the Brownian
Collision times of random walks and applications to the Brownian web David Coupier1, Kumarjit Saha2, Anish Sarkar3, and Viet Chi Tran4 1Univ. de Valenciennes, CNRS 2Ashoka University 3Indian Statistical Institute, Delhi 4Univ. Lille, CNRS February 12, 2019 Abstract Convergence of directed forests, spanning on random subsets of lattices or on point processes, towards the Brownian web has made the subject of an abundant literature, a large part of which relies on a criterion proposed by Fontes, Isopi, Newman and Ravishankar (2004). One of their conver- gence condition, called (B2), states that the probability of the event that there exists three distinct paths for a time interval of length t(> 0), all starting within a segment of length ε, is of small order of ε. This condition is often verified by applying an FKG type correlation inequality together with a coalescing time tail estimate for two paths. For many models where paths have complex interactions, it is hard to establish FKG type inequalities. In this article, we show that for a non-crossing path model, with certain assumptions, a suitable upper bound on expected first col- lision time among three paths can be obtained directly using Lyapunov functions. This, in turn, provides an alternate verification of Condition (B2). We further show that in case of independent simple symmetric one dimensional random walks or in case of independent Brownian motions, the expected value can be computed explicitly. We apply this alternate method of verification of (B2) to several models in the basin of attraction of the Brownian web studied earlier in the literature ([22], [14], [11]). -
JSM 2017 in Baltimore the 2017 Joint Statistical Meetings in Baltimore, Maryland, Which Included the CONTENTS IMS Annual Meeting, Took Place from July 29 to August 3
Volume 46 • Issue 6 IMS Bulletin September 2017 JSM 2017 in Baltimore The 2017 Joint Statistical Meetings in Baltimore, Maryland, which included the CONTENTS IMS Annual Meeting, took place from July 29 to August 3. There were over 6,000 1 JSM round-up participants from 52 countries, and more than 600 sessions. Among the IMS program highlights were the three Wald Lectures given by Emmanuel Candès, and the Blackwell 2–3 Members’ News: ASA Fellows; ICM speakers; David Allison; Lecture by Martin Wainwright—Xiao-Li Meng writes about how inspirational these Mike Cohen; David Cox lectures (among others) were, on page 10. There were also five Medallion lectures, from Edoardo Airoldi, Emery Brown, Subhashis Ghoshal, Mark Girolami and Judith 4 COPSS Awards winners and nominations Rousseau. Next year’s IMS lectures 6 JSM photos At the IMS Presidential Address and Awards session (you can read Jon Wellner’s 8 Anirban’s Angle: The State of address in the next issue), the IMS lecturers for 2018 were announced. The Wald the World, in a few lines lecturer will be Luc Devroye, the Le Cam lecturer will be Ruth Williams, the Neyman Peter Bühlmann Yuval Peres 10 Obituary: Joseph Hilbe lecture will be given by , and the Schramm lecture by . The Medallion lecturers are: Jean Bertoin, Anthony Davison, Anna De Masi, Svante Student Puzzle Corner; 11 Janson, Davar Khoshnevisan, Thomas Mikosch, Sonia Petrone, Richard Samworth Loève Prize and Ming Yuan. 12 XL-Files: The IMS Style— Next year’s JSM invited sessions Inspirational, Mathematical If you’re feeling inspired by what you heard at JSM, you can help to create the 2018 and Statistical invited program for the meeting in Vancouver (July 28–August 2, 2018). -
978-961-293-071-4.Pdf PUBLIC LECTURES 53
CONTENTS 8th European Congress of Mathematics 20–26 June 2021 • Portorož, Slovenia PLENARY SPEAKERS 1 Presentation of Plenary, Invited, Public, Abel and Prize Speakers at the 8ECM Edited by INVITED SPEAKERS 11 Nino Bašic´ Ademir Hujdurovic´ Klavdija Kutnar THE EMS PRIZES 33 Tomaž Pisanski Vito Vitrih THE FELIX KLEIN PRIZE 43 Published by University of Primorska Press THE OTTO NEUGEBAUER PRIZE 45 Koper, Slovenia • www.hippocampus.si © 2021 University of Primorska ABEL LECTURE 49 Electronic Edition https://www.hippocampus.si/ISBN/978-961-293-071-4.pdf PUBLIC LECTURES 53 https://www.hippocampus.si/ISBN/978-961-293-072-1/index.html https://doi.org/10.26493/978-961-293-071-4 Kataložni zapis o publikaciji (CIP) pripravili v Narodni in univerzitetni knjižnici v Ljubljani COBISS.SI-ID = 65201411 ISBN 978-961-293-071-4 (pdf) ISBN 978-961-293-072-1 (html) PLENARY SPEAKERS 8th European Congress of Mathematics Plenary Speakers Peter Bühlmann Nirenberg, from the Courant Institute, New York University, 1994. Following his PhD, he has held the positions of Member of the Institute for Advanced ETH Zürich Study, Princeton, 1994–95; Habilitation à diriger des recherches, Université Pierre et Marie Curie-Paris VI, 1998; Harrington Faculty Fellow, The University of Texas at Austin, 2001–02; and Tenure Associate Professor, The University Biosketch of Texas at Austin, 2002–03. Since 2003, he has been an ICREA Research Peter Bühlmann is Professor of Mathematics and Professor at the Universitat Politècnica de Catalunya. He received the Kurt Statistics, and Director of Foundations of Data Science at ETH Zürich. He Friedrichs Prize, New York University, 1995, and is a Fellow of the American studied mathematics at ETH Zürich and received his doctoral degree in 1993 Mathematical Society, inaugural class of 2012. -
The BEST WRITING on MATHEMATICS
The BEST WRITING on MATHEMATICS 2012 The BEST WRITING on MATHEMATICS 2012 Mircea Pitici, Editor FOREWORD BY DAVID MUMFORD P RI NC E TO N U N IVER S I T Y P RE SS P RI NC E TO N A N D OX FORD Copyright © 2013 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW press.princeton.edu All Rights Reserved ISBN 978- 0- 691-15655-2 This book has been composed in Perpetua Printed on acid- free paper. ∞ Printed in the United States of America 1 3 5 7 9 10 8 6 4 2 For my parents Contents Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete DAVID MUMFORD ix Introduction MIRCEA PITICI xvii Why Math Works MARIO LIVIO 1 Is Mathematics Discovered or Invented? TIMOTHY GOWERS 8 The Unplanned Impact of Mathematics PETER ROWLETT 21 An Adventure in the Nth Dimension BRIAN HAYES 30 Structure and Randomness in the Prime Numbers TERENCE TAO 43 The Strangest Numbers in String Theory JOHN C. BAEZ AND JOHN HUERTA 50 Mathematics Meets Photography: The Viewable Sphere DAVID SWART AND BRUCE TORRENCE 61 Dancing Mathematics and the Mathematics of Dance SARAH- MARIE BELCASTRO AND KARL SCHAFFER 79 Can One Hear the Sound of a Theorem? ROB SCHNEIDERMAN 93 Flat- Unfoldability and Woven Origami Tessellations ROBERT J. LANG 113 A Continuous Path from High School Calculus to University Analysis TIMOTHY GOWERS 129 viii Contents Mathematics Teachers’ Subtle, Complex Disciplinary Knowledge BRENT DAVIS 135 How to Be a Good Teacher Is an Undecidable Problem ERICA FLAPAN 141 How Your Philosophy of Mathematics Impacts Your Teaching BONNIE GOLD 149 Variables in Mathematics Education SUSANNA S. -
2017 Magdalen College Record
Magdalen College Record Magdalen College Record 2017 2017 Conference Facilities at Magdalen¢ We are delighted that many members come back to Magdalen for their wedding (exclusive to members), celebration dinner or to hold a conference. We play host to associations and organizations as well as commercial conferences, whilst also accommodating summer schools. The Grove Auditorium seats 160 and has full (HD) projection fa- cilities, and events are supported by our audio-visual technician. We also cater for a similar number in Hall for meals and special banquets. The New Room is available throughout the year for private dining for The cover photograph a minimum of 20, and maximum of 44. was taken by Marcin Sliwa Catherine Hughes or Penny Johnson would be pleased to discuss your requirements, available dates and charges. Please contact the Conference and Accommodation Office at [email protected] Further information is also available at www.magd.ox.ac.uk/conferences For general enquiries on Alumni Events, please contact the Devel- opment Office at [email protected] Magdalen College Record 2017 he Magdalen College Record is published annually, and is circu- Tlated to all members of the College, past and present. If your contact details have changed, please let us know either by writ- ing to the Development Office, Magdalen College, Oxford, OX1 4AU, or by emailing [email protected] General correspondence concerning the Record should be sent to the Editor, Magdalen College Record, Magdalen College, Ox- ford, OX1 4AU, or, preferably, by email to [email protected]. -
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Volume 47 • Issue 1 IMS Bulletin January/February 2018 National Academy new member The US National Academy of Medicine (NAM) has announced the election of 70 reg- CONTENTS ular members and 10 international members. Among them is Nicholas Patrick Jewell, 1 National Academy of University of California, Berkeley. Medicine elects Jewell Election to the Academy is considered one of the highest honors in the fields of 2 Members’ news: Nick Horton, health and medicine, recognizing individuals who have made major contributions to Eric Kolaczyk, Hongzhe Li, the advancement of the medical sciences, health care, and public health. A diversity Runze Li, Douglas Simpson, of talent among NAM’s membership is Greg Lawler, Mike Jordan, Mir assured by its Articles of Organization, Masoom Ali which stipulate that at least one-quarter 3 Journal news: EJP, ECP, Prob of the membership is selected from fields Surveys; OECD guidelines outside the health professions, for exam- 4 Takis Konstantopoulos: new ple, from law, engineering, social sciences, column and the humanities—and statistics. The newly elected members bring 6 Recent papers: Electronic Journal of Probability; Electronic NAM’s total membership to 2,127 and Communications in Probability the number of international members to 172. 11 Special Invited Lecturers; IMS Fellow Nicholas P. Jewell is New Textbook Professor of Biostatistics and Statistics 12 Obituary: Ron Getoor at the University of California, Berkeley. 13 IMS Awards Since arriving at Berkeley in 1981, he has held various academic and administrative 15 Student Puzzle Corner 19; New Researcher Award positions, most notably serving as Vice Provost from 1994 to 2000. -
The Brownian Web
The Annals of Probability 2008, Vol. 36, No. 3, 1153–1208 DOI: 10.1214/07-AOP357 c Institute of Mathematical Statistics, 2008 THE BROWNIAN NET By Rongfeng Sun and Jan M. Swart1 TU Berlin and UTIA´ Prague The (standard) Brownian web is a collection of coalescing one- dimensional Brownian motions, starting from each point in space and time. It arises as the diffusive scaling limit of a collection of coalescing random walks. We show that it is possible to obtain a nontrivial limiting object if the random walks in addition branch with a small probability. We call the limiting object the Brownian net, and study some of its elementary properties. Contents 1. Introduction and main results....................... .....................1154 1.1. Arrow configurations and branching-coalescing random walks.......1154 1.2. Topology and convergence......................... .................1155 1.3. The Brownian web................................. ................1158 1.4. Characterization of the Brownian net using hopping . .............1159 1.5. The left-right Brownian web....................... .................1160 1.6. Characterization of the Brownian net using meshes . .............1161 1.7. The dual Brownian web............................. ...............1162 1.8. Dual characterization of the Brownian net........... ...............1164 1.9. The branching-coalescing point set ................ ................. 1164 1.10. The backbone................................... ...................1166 1.11. Discussion, applications and open problems . .................1167 -
The Brownian Web
The Brownian Web Linus Mattauch University of Oxford, Honour School of Mathematics and Philosophy, Part C Dissertation - March 2008 1 Acknowledgements I am extremely grateful to my supervisors, Alison Etheridge and Pierre Tarr`es,for guiding me through the challenging material on which this dissertation is based and for their patient explanations of mathematical details. I wish to thank R. Arratia for making a seminal unpublished manuscript [1] available to me. I am very grateful to R. Sun for helpful comments (in particular regarding [30, 31]) and explanation of a detail in [12]. I am, moreover, very grateful to Arend Janssen for reading a draft of this disser- tation and to my parents, Angela and Hans Mattauch, for proof-reading and encour- agement. Special mention goes to David Yadin for constant support and to Glenys Luke for giving wise advice whenever needed. Finally I wish to thank Robert Goudie and Tsubasa Itani for some help with LATEX and everyone else who contributed to a fantastic time as an undergraduate at St. Hugh's College. Linus Mattauch March 2008 Note concerning the proposal I wish to note that my study of the Brownian web turned out to be somewhat less connected to the theory of interacting particle systems than I anticipated at the time of submitting the proposal. So the connection between the voter model and coalescing random walks is included in this dissertation (as Appendix A), but the focus of the present work is exclusively on the Brownian web itself. An alternative for the end of the project was stated in the proposal: I decided to include the topic of the \Poisson tree" (not that of self-interacting random walks) into this dissertation and also tailored my account of the Brownian web accordingly. -
(EPSRC): Annual Report and Accounts 2017 to 2018
Engineering and Physical Sciences Research Council ANNUAL REPORT AND ACCOUNTS 2017 - 2018 Engineering and Physical Sciences Research Council ANNUAL REPORT AND ACCOUNTS 2017-18 Presented to Parliament pursuant to Schedule 1 of the Science and Technology Act 1965 Ordered by the House of Commons to be printed on 12 July 2018 HC1227 © Engineering and Physical Sciences Research Council (copyright 2018) The text of this document (this excludes, where present, the Royal Arms and all departmental or agency logos) may be reproduced free of charge in any format or medium provided that it is reproduced accurately and not in a misleading context. The material must be acknowledged as Engineering and Physical Sciences Research Council copyright and the document title specified. Where third party material has been identified, permission from the respective copyright holder must be sought. This publication is available at www.gov.uk/government/publications Any enquiries regarding this publication should be sent to: UKRI Polaris House North Star Avenue Swindon SN2 1FL ISBN 978-1-5286-0386-7 CCS0518609414 Printed on paper containing 75% recycled fibre content minimum Printed in the UK by UKRI’s Internal Service Provider on behalf of the Controller of Her Majesty’s Stationery Office ContentsCONTENTS PERFORMANCE REPORT Overview 02 Performance Analysis 14 ACCOUNTABILITY REPORT Corporate Governance Report 40 Remuneration and Staff Report 59 Parliamentary Accountability and Audit Report 72 FINANCIAL STATEMENTS Statement of Comprehensive Net Expenditure 76 Statement of Financial Position 77 Statement of Cash Flows 78 Statement of Changes in Taxpayers’ Equity 79 Notes to the Accounts 80 Performance Report Overview The overview provides a short statement from the Chair and CEO of EPSRC setting out some of the key highlights for the year, with the main body of the overview summarising progress against the organisation’s Delivery Plan for the period 2017-18. -
The Brownian Fan
The Brownian fan April 9, 2014 Martin Hairer1 and Jonathan Weare2 1 Mathematics Department, the University of Warwick 2 Statistics Department and the James Frank Institute, the University of Chicago Email: [email protected], Email: [email protected] Abstract We provide a mathematical study of the modified Diffusion Monte Carlo (DMC) algorithm introduced in the companion article [HW14]. DMC is a simulation technique that uses branching particle systems to represent expectations associated with Feynman- Kac formulae. We provide a detailed heuristic explanation of why, in cases in which a stochastic integral appears in the Feynman-Kac formula (e.g. in rare event simulation, continuous time filtering, and other settings), the new algorithm is expected to converge in a suitable sense to a limiting process as the time interval between branching steps goes to 0. The situation studied here stands in stark contrast to the “na¨ıve” generalisation of the DMC algorithm which would lead to an exponential explosion of the number of particles, thus precluding the existence of any finite limiting object. Convergence is shown rigorously in the simplest possible situation of a random walk, biased by a linear potential. The resulting limiting object, which we call the “Brownian fan”, is a very natural new mathematical object of independent interest. Keywords: Diffusion Monte Carlo, quantum Monte Carlo, rare event simulation, sequential Monte Carlo, particle filtering, Brownian fan, branching process Contents 1 Introduction 2 1.1 Notations . .5 2 The continuous-time limit and the Brownian fan 5 2.1 Heuristic derivation of the continuous-time limit . .6 2.2 Some properties of the limiting process .