Allan Sly Awarded Loève Prize
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Of the American Mathematical Society August 2017 Volume 64, Number 7
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society August 2017 Volume 64, Number 7 The Mathematics of Gravitational Waves: A Two-Part Feature page 684 The Travel Ban: Affected Mathematicians Tell Their Stories page 678 The Global Math Project: Uplifting Mathematics for All page 712 2015–2016 Doctoral Degrees Conferred page 727 Gravitational waves are produced by black holes spiraling inward (see page 674). American Mathematical Society LEARNING ® MEDIA MATHSCINET ONLINE RESOURCES MATHEMATICS WASHINGTON, DC CONFERENCES MATHEMATICAL INCLUSION REVIEWS STUDENTS MENTORING PROFESSION GRAD PUBLISHING STUDENTS OUTREACH TOOLS EMPLOYMENT MATH VISUALIZATIONS EXCLUSION TEACHING CAREERS MATH STEM ART REVIEWS MEETINGS FUNDING WORKSHOPS BOOKS EDUCATION MATH ADVOCACY NETWORKING DIVERSITY blogs.ams.org Notices of the American Mathematical Society August 2017 FEATURED 684684 718 26 678 Gravitational Waves The Graduate Student The Travel Ban: Affected Introduction Section Mathematicians Tell Their by Christina Sormani Karen E. Smith Interview Stories How the Green Light was Given for by Laure Flapan Gravitational Wave Research by Alexander Diaz-Lopez, Allyn by C. Denson Hill and Paweł Nurowski WHAT IS...a CR Submanifold? Jackson, and Stephen Kennedy by Phillip S. Harrington and Andrew Gravitational Waves and Their Raich Mathematics by Lydia Bieri, David Garfinkle, and Nicolás Yunes This season of the Perseid meteor shower August 12 and the third sighting in June make our cover feature on the discovery of gravitational waves -
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. -
Perfect Filtering and Double Disjointness
ANNALES DE L’I. H. P., SECTION B HILLEL FURSTENBERG YUVAL PERES BENJAMIN WEISS Perfect filtering and double disjointness Annales de l’I. H. P., section B, tome 31, no 3 (1995), p. 453-465 <http://www.numdam.org/item?id=AIHPB_1995__31_3_453_0> © Gauthier-Villars, 1995, tous droits réservés. L’accès aux archives de la revue « Annales de l’I. H. P., section B » (http://www.elsevier.com/locate/anihpb) implique l’accord avec les condi- tions générales d’utilisation (http://www.numdam.org/conditions). Toute uti- lisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit conte- nir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ Ann. Inst. Henri Poincaré, Vol. 31, n° 3, 1995, p. 453-465. Probabilités et Statistiques Perfect filtering and double disjointness Hillel FURSTENBERG, Yuval PERES (*) and Benjamin WEISS Institute of Mathematics, the Hebrew University, Jerusalem. ABSTRACT. - Suppose a stationary process ~ Un ~ is used to select from several stationary processes, i.e., if Un = i then we observe Yn which is the n’th variable in the i’th process. when can we recover the selecting sequence ~ Un ~ from the output sequence ~Yn ~ ? RÉSUMÉ. - Soit ~ Un ~ un processus stationnaire utilise pour la selection de plusieurs processus stationnaires, c’ est-a-dire si Un = i alors on observe Yn qui est le n-ième variable dans le i-ième processus. Quand peut-on reconstruire ~ Un ~ à partir de ~ Yn ~ ? 1. INTRODUCTION Suppose a discrete-time stationary stochastic signal ~ Un ~, taking integer values, is transmitted over a noisy channel. -
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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. -
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. -
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 . -
Russell David Lyons
Russell David Lyons Education Case Western Reserve University, Cleveland, OH B.A. summa cum laude with departmental honors, May 1979, Mathematics University of Michigan, Ann Arbor, MI Ph.D., August 1983, Mathematics Sumner Myers Award for best thesis in mathematics Specialization: Harmonic Analysis Thesis: A Characterization of Measures Whose Fourier-Stieltjes Transforms Vanish at Infinity Thesis Advisers: Hugh L. Montgomery, Allen L. Shields Employment Indiana University, Bloomington, IN: James H. Rudy Professor of Mathematics, 2014{present. Indiana University, Bloomington, IN: Adjunct Professor of Statistics, 2006{present. Indiana University, Bloomington, IN: Professor of Mathematics, 1994{2014. Georgia Institute of Technology, Atlanta, GA: Professor of Mathematics, 2000{2003. Indiana University, Bloomington, IN: Associate Professor of Mathematics, 1990{94. Stanford University, Stanford, CA: Assistant Professor of Mathematics, 1985{90. Universit´ede Paris-Sud, Orsay, France: Assistant Associ´e,half-time, 1984{85. Sperry Research Center, Sudbury, MA: Researcher, summers 1976, 1979. Hampshire College Summer Studies in Mathematics, Amherst, MA: Teaching staff, summers 1977, 1978. Visiting Research Positions University of Calif., Berkeley: Visiting Miller Research Professor, Spring 2001. Microsoft Research: Visiting Researcher, Jan.{Mar. 2000, May{June 2004, July 2006, Jan.{June 2007, July 2008{June 2009, Sep.{Dec. 2010, Aug.{Oct. 2011, July{Oct. 2012, May{July 2013, Jun.{Oct. 2014, Jun.{Aug. 2015, Jun.{Aug. 2016, Jun.{Aug. 2017, Jun.{Aug. 2018. Weizmann Institute of Science, Rehovot, Israel: Rosi and Max Varon Visiting Professor, Fall 1997. Institute for Advanced Studies, Hebrew University of Jerusalem, Israel: Winston Fellow, 1996{97. Universit´ede Lyon, France: Visiting Professor, May 1996. University of Wisconsin, Madison, WI: Visiting Associate Professor, Winter 1994. -
Computational and Financial Econometrics (CFE 2016)
CFE-CMStatistics 2016 PROGRAMME AND ABSTRACTS 10th International Conference on Computational and Financial Econometrics (CFE 2016) http://www.cfenetwork.org/CFE2016 and 9th International Conference of the ERCIM (European Research Consortium for Informatics and Mathematics) Working Group on Computational and Methodological Statistics (CMStatistics 2016) http://www.cmstatistics.org/CMStatistics2016 Higher Technical School of Engineering, University of Seville, Spain 9 – 11 December 2016 c CFE and CMStatistics networks. All rights reserved. I CFE-CMStatistics 2016 ISBN 978-9963-2227-1-1 c 2016 - CFE and CMStatistics networks Technical Editors: Angela Blanco-Fernandez and Gil Gonzalez-Rodriguez. All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any other form or by any means without the prior permission from the publisher. II c CFE and CMStatistics networks. All rights reserved. CFE-CMStatistics 2016 International Organizing Committee: Ana Colubi, Stella Hadjiantoni, M. Dolores Jimenez-Gamero, Erricos Kontoghiorghes, George Loizou and Herman Van Dijk. CFE 2016 Co-chairs: Peter Boswijk, Jianqing Fang, Alain Hecq, Michael Smith. CFE 2016 Programme Committee: Alessandra Amendola, Ansgar Belke, Monica Billio, Josep Lluis Carrion-i-Silvestre, Roberto Casarin, Veronika Czellar, Serge Darolles, Manfred Deistler, Jean-David Fermanian, Sylvia Fruehwirth-Schnatter, Marc Hallin, Matthew Harding, Jan Jacobs, Menelaos Karanasos, Daniel Kaufmann, Robert Kunst, Degui Li, Marco Lippi, Zudi Lu, Luis Filipe Martins, Gian Luigi Mazzi, Tucker McElroy, J Isaac Miller, Bent Nielsen, Yasuhiro Omori, Michael Owyang, Gareth Peters, Michael Pitt, Stephen Pollock, Tommaso Proi- etti, Artem Prokhorov, Anders Rahbek, Francesco Ravazzolo, Jeroen Rombouts, Eduardo Rossi, Christos Savva, Willi Semmler, Laura Spierdijk, Giuseppe Storti, Jonathan Stroud, Genaro Sucarrat, Jean-Pierre Ur- bain, Shaun Vahey, Helena Veiga, Carlos Velasco, Helga Wagner, Martin Wagner, Toshiaki Watanabe and Peter Winker. -
"Real Analysis in Computer Science" (Fall 2013) Final Program Report Elchanan Mossel and Luca Trevisan (Organizers) Ba
"Real Analysis in Computer Science" (Fall 2013) Final Program Report Elchanan Mossel and Luca Trevisan (Organizers) Background Sophisticated tools in Real Analysis have played an increasingly central role in a number of areas in theoretical computer science over the past thirty years. As a first example, the discrete Fourier expansion can be used to analyze combinatorial problems of a discrete nature using the language and techniques of real analysis. Such Fourier analysis techniques have played a key role since the 1980s in the development of computational learning theory (PAC learning) and property testing, and, in complexity theory, they have led to circuit lower bounds and to probabilistically checkable proof (PCP) constructions and hardness of approximation results. More modern mathematical tools developed to study Banach space properties of Gaussian processes in the 1960s and 70s (in particular, the idea of hypercontractivity from functional analysis) were introduced in computer science by Kahn, Kalai and Linial in 1988. This circle of ideas played a key role in subsequent developments in coding theory, metric embeddings of graphs, and hardness of approximation of optimization problems. Finally, concepts from Gaussian geometry and Gaussian isoperimetric theory have played an implicit role in the analysis of semi-definite programs, starting with the work of Goemans and Williamson in 1995. A rigorous theory connecting optimization problems, semi-definite programs and hardness of approximation to Gaussian geometry and isoperimetry was established in the “Unique Games” framework introduced by Khot in 2002, and was further developed via the non-linear invariance principle of Mossel, O’Donnell and Oleszkiewicz (2005) and the geometry of Gaussian space. -
Amstat News May 2011 President's Invited Column
May 2011 • Issue #407 AMSTATNEWS The Membership Magazine of the American Statistical Association • http://magazine.amstat.org Croatia Bosnia Serbia Herzegovina ThroughPeace Statistics ALSO: Meet Susan Boehmer, New IRS Statistics of Income Director Publications Agreement No. 41544521 Mining the Science out of Marketing Math Sciences in 2025 AMSTATNews May 2011 • Issue #407 Executive Director Ron Wasserstein: [email protected] Associate Executive Director and Director of Operations features Stephen Porzio: [email protected] 3 President’s Invited Column Director of Education Martha Aliaga: [email protected] 5 Pfizer Contributes to ASA's Educational Ambassador Program Director of Science Policy 5 TAS Article Cited in Supreme Court Case Steve Pierson: [email protected] 7 Writing Workshop for Junior Researchers to Take Place at JSM Managing Editor Megan Murphy: [email protected] 8 Meet Susan Boehmer, New IRS Statistics of Income Director Production Coordinators/Graphic Designers 10 Peace Through Statistics Melissa Muko: [email protected] 15 Statistics in Biopharmaceutical Research Kathryn Wright: [email protected] May Issue of SBR: A Festschrift for Gary Koch Publications Coordinator Val Nirala: [email protected] 16 Journal of the American Statistical Association March JASA Features ASA President’s Invited Address Advertising Manager Claudine Donovan: [email protected] 19 Technometrics Fingerprint Individuality Assessment Featured in May Issue Contributing Staff Members Pam Craven • Rosanne Desmone • Fay Gallagher • Eric Sampson Amstat News welcomes news items and letters from readers on matters of interest to the association and the profession. Address correspondence to Managing Editor, Amstat News, American Statistical Association, 732 North Washington Street, Alexandria VA 22314-1943 USA, or email amstat@ columns amstat.org. -
IMS Bulletin Volume 36, Issue 9: November 2007
Volume 36 • Issue 9 IMS Bulletin November 2007 Advising junior faculty on research IMS Bulletin Editor Xuming He writes: CONTENTS If there is one thing that all statisticians agree on today, it is the recognition that 1 How do we evaluate statistics has evolved from a mathematical sub-field to a cross-cutting scientific disci- research? pline. Along with this exciting evolution come new challenges to a new generation of 2 Members’ News: Debajyoti academic statisticians. Junior faculty members in the statistics departments or in math- Sinha; Peter Donnelly; ematical sciences departments are often unsure how their co-authored papers and/or Donald Gaver their interdisciplinary research will be evaluated for their promotion. Sometimes they receive conflicting advice from senior members of our profession who have developed 4–6 Evaluating research: responses their career in a very different environment. To stimulate discussion and debate that may eventually help build consensus in our 7 Journal news; Randy Sitter profession and help our junior faculty choose the best course for their career develop- 8 IMS awards; ment in today’s competitive academic world, the Bulletin sought opinions from senior Laha recipients’ comments mentors and department chairs on how 10 IMS Reception photos they would advise junior faculty on the following questions. 11 Awards and nominations 1. Should junior faculty members go 12 WNAR/IMS meeting report for quality at the cost of quantity for 13 Rick’s Ramblings: Chuck’s publications? Rule 2. Should they refrain from too much interdisciplinary work, which often 14 Terence’s Stuff: Letters leads to publication in non-statistical 15 SPA and IMS journal rates journals? 16 IMS Meetings 3. -
Affine Embeddings of Cantor Sets on the Line Arxiv:1607.02849V3
Affine Embeddings of Cantor Sets on the Line Amir Algom August 5, 2021 Abstract Let s 2 (0; 1), and let F ⊂ R be a self similar set such that 0 < dimH F ≤ s . We prove that there exists δ = δ(s) > 0 such that if F admits an affine embedding into a homogeneous self similar set E and 0 ≤ dimH E − dimH F < δ then (under some mild conditions on E and F ) the contraction ratios of E and F are logarithmically commensurable. This provides more evidence for Conjecture 1.2 of Feng et al.(2014), that states that these contraction ratios are logarithmically commensurable whenever F admits an affine embedding into E (under some mild conditions). Our method is a combination of an argument based on the approach of Feng et al.(2014) with a new result by Hochman(2016), which is related to the increase of entropy of measures under convolutions. 1 Introduction Let A; B ⊂ R. We say that A can be affinely embedded into B if there exists an affine map g : R ! R; g(x) = γ · x + t for γ 6= 0; t 2 R, such that g(A) ⊆ B. The motivating problem of this paper to show that if A and B are two Cantor sets and A can be affinely embedded into B, then the there should be some arithmetic dependence between the scales appearing in the multiscale structures of A and B. This phenomenon is known to occur e.g. when A and B are two self similar sets satisfying the strong separation condition that are Lipschitz equivalent, see Falconer and Marsh(1992).