Notices of the American Mathematical Society
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The Asbestos
The asbestos lie The past and present of an industrial catastrophe — Maria Roselli Maria Roselli, is an investigative journalist for asbestos issues, migration, and economic development. Born in Italy, raised and living in Zurich, Switzerland, Roselli has written frequently in German, Italian, and French media on asbestos use. Contributing authors: Laurent Vogel is researcher at the European Trade Union Institute (ETUI), which is based in Brussels, Belgium. ETUI is the independent research and training centre of the European Trade Union Confederation (ETUC), which is the umbrella organisation of the European trade unions. Dr Barry Castleman, author of Asbestos: Medical and Legal Aspects, now in its fifth edition, has frequently been called as an expert witness both for plaintiffs and defendants; he has also testified before the U.S. Congress on asbestos use in the United States. He lives in Garrett Park, Maryland. Laurie Kazan-Allen is the editor of the British Asbestos Newsletter and the Coordinator of the International Ban Asbestos Secretariat. She is based in London. Kathleen Ruff is the founder and coordinator of the organisation Right On Canada of the Rideau Institute to promote citizen action for advocating for human rights in Canadian government policies. In 2011, she was named Canadian Public Health Association’s National Public Health Hero for ‘revealing the inaccuracies in the propaganda that the asbestos industry has employed for the better part of the last century to mislead citizens about the seriousness of the threat of asbestos -
Geometric Measure Theory and the Calculus of Variations PROCEEDINGS of SYMPOSIA in PURE MATHEMATICS Volume 44
http://dx.doi.org/10.1090/pspum/044 Geometric Measure Theory and the Calculus of Variations PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS Volume 44 Geometric Measure Theory and the Calculus of Variations William K. Allard and Frederick J. Almgren, Jr., Editors AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND PROCEEDINGS OF THE SUMMER INSTITUTE ON GEOMETRIC MEASURE THEORY AND THE CALCULUS OF VARIATIONS HELD AT HUMBOLDT STATE UNIVERSITY ARCATA, CALIFORNIA JULY 16-AUGUST 3, 1984 with support from the National Science Foundation, Grant DMS-8317890 1980 Mathematics Subject Classification. Primary 49F22, 49F20, 53A10, 53C42; Secondary 49F10, 53C20, 35J65, 58-XX. Library of Congress Cataloging-in-Publication Data Main entry under title: Geometric measure theory and the calculus of variations. (Proceedings of symposia in pure mathematics; v. 44) Includes bibliographies. 1. Geometric measure theory-Addresses, essays, lectures. I. Allard, William K., 1941- II. Almgren, Frederick J. III. Series. QA312.G394 1985 516.3'6 85-18641 ISBN 0-8218-1470-2 (alk. paper) COPYING AND REPRINTING. Individual leaders of this publication, and nonprofit libraries acting for them are permitted to make fair use of the material, such as to copy an article for use in teaching or research. Permission is granted to quote brief passages from this pubUcation in reviews provided the customary acknowledgement of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication (including abstracts) is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Executive Director, American Mathemat ical Society, P.O. Box 6248, Providence, Rhode Island 02940. -
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. -
Ergänzung Des Maßnahmenprogramms 2016 Bis 2021Für Den Bayerischen Anteil Am Flussgebiet Rhein− Zusatzmaßnahmen Gemäß §
Ergänzung des Maßnahmenprogramms 2016 bis 2021 für den bayerischen Anteil am Flussgebiet Rhein − Zusatzmaßnahmen gemäß § 82 Abs. 5 WHG – (Programmergänzung für die Periode 2019 bis 2021) Infolge der Ergebnisse vertiefender Untersuchungen und Kontrollen zum Gewässerzustand in Bayern fand im Jahr 2018 eine Überprüfung des Maßnahmenprogramms für das bayerische Rheingebiet für den Bewirtschaftungszeitraum 2016 bis 2021 statt. Im Ergebnis dieser Überprüfung zeigte sich ein Bedarf an zusätzlichen Maßnahmen zur Reduzierung von Phosphoreinträgen in Oberflächengewässer durch Nachrüstung von Kläranlagen, um die Bewirtschaftungsziele gemäß §§ 27 bis 31 WHG fristgerecht zu erreichen. Die erforderlichen Maßnahmen sollen noch im zweiten Bewirtschaftungszeitraum bis 2021 umgesetzt werden. Gemäß § 82 Abs. 5 WHG werden daher diese Maßnahmen als nachträglich erforderliche Zusatzmaßnahmen in das Maßnahmenprogramm aufgenommen und in nachfolgender Liste in analoger Weise wie die ergänzenden Maßnahmen Planungseinheit- und Wasserkörper- bezogen und mit Bezug auf den in Deutschland gültigen LAWA-BLANO-Maßnahmenkatalog aufgeführt. Liste von Zusatzmaßnahmen für Oberflächenwasserkörper im bayerischen Einzugsgebiet des Rheins Oberer Main Weißer Main, Roter Main – OMN_PE01 Wasserkörper Geplante Maßnahmen Kennzahl Name Kennzahl Bezeichnung (gemäß LAWA- bzw. Bayern-Maßnahmenkatalog) 2_F084 Weißer Main bis Einmündung der Ölschnitz 3 Ausbau kommunaler Kläranlagen zur Reduzierung der Phosphoreinträge Nebengewässer Weißer Main: Ölschnitz, Kronach (zum Weißen Main), Trebgast -
Annual Report for the Fiscal Year
The Institute for Advanced Study nual Report 1979/80 lis Annual Report has been made possible by a generous grant from the Union Carbide Corporation. The Institute for Advanced Study Annual Report for the Fiscal Year July 1, 1979 - June 30, 1980 The Institute for Advanced Study Princeton, New Jersey 08540 Printed by Princeton University Press Designed by Bruce Campbell It is fundamental to our purpose, and our Extract from the letter addressed by the express desire, that in the appointments to Founders to the Institute's Trustees, the staff and faculty, as well as in the dated June 6, 1930, admission of workers and students, no Newark, New Jersey. account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all, the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed or sex. 9;2 3f Table of Contents Trustees and Officers 9 Administration 10 The Institute for Advanced Study: Background and Purpose 11 Report of the Chairman 13 Report of the Director 15 Reports of the Schools 21 Publications of the Faculty, Professors Emeriti and Members with Long-term Appointments: A Selection 69 Record of Events, 1979-80 73 Report of the Treasurer 107 Donors 116 Founders Caroline Bamberger Fuld Louis Bamberger Board of Trustees Daniel Bell Howard C. Kauffmann Professor of Sociologi) President Harvard University Exxon Corporation Charles L. -
David Donoho COMMENTARY 52 Cliff Ord J
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society January 2018 Volume 65, Number 1 JMM 2018 Lecture Sampler page 6 Taking Mathematics to Heart y e n r a page 19 h C th T Ru a Columbus Meeting l i t h i page 90 a W il lia m s r e lk a W ca G Eri u n n a r C a rl ss on l l a d n a R na Da J i ll C . P ip her s e v e N ré F And e d e r i c o A rd ila s n e k c i M . E d al Ron Notices of the American Mathematical Society January 2018 FEATURED 6684 19 26 29 JMM 2018 Lecture Taking Mathematics to Graduate Student Section Sampler Heart Interview with Sharon Arroyo Conducted by Melinda Lanius Talithia Williams, Gunnar Carlsson, Alfi o Quarteroni Jill C. Pipher, Federico Ardila, Ruth WHAT IS...an Acylindrical Group Action? Charney, Erica Walker, Dana Randall, by omas Koberda André Neves, and Ronald E. Mickens AMS Graduate Student Blog All of us, wherever we are, can celebrate together here in this issue of Notices the San Diego Joint Mathematics Meetings. Our lecture sampler includes for the first time the AMS-MAA-SIAM Hrabowski-Gates-Tapia-McBay Lecture, this year by Talithia Williams on the new PBS series NOVA Wonders. After the sampler, other articles describe modeling the heart, Dürer's unfolding problem (which remains open), gerrymandering after the fall Supreme Court decision, a story for Congress about how geometry has advanced MRI, “My Father André Weil” (2018 is the 20th anniversary of his death), and a profile on Donald Knuth and native script by former Notices Senior Writer and Deputy Editor Allyn Jackson. -
Achterbahn Im Naturpark Hassberge
Naturpark-Runden im Bamberger Karte am Ende des Dokuments in höherer Auflösung. Norden (3): Achterbahn im Naturpark Hassberge Entfernung: ca. 63 km, Dauer: ca. 1 Tag Karte am Ende des Dokuments in höherer Auflösung. Vorwort Vom Sofa direkt in den Sattel? Ein lässiger Radtag sieht anders aus und ein paar Trainingsrunden sollte man schon absolviert haben, bevor man diese Tour angeht. Auf beinahe 1.000 m Bergund Talfahrt Karte am Ende des Dokuments in höherer hält sie einige Höhenflüge bereit. Sie ist zugleich Herausforderung und Auflösung. Stand: 8.9.2017 Elixier für Körper, Geist und Seele. Denn die imposanten Burgruinen, schmucken Schlösser und Orte sind ein Augenschmaus und die Panoramen ohne Ende. Die Tour verläuft im Baunachtal großenteils auf der Trasse des alten Karte am Ende des Dokuments in höherer Maro-Express und stellt kaum An sprü che an die Kondition. So richtig Auflösung. steil wirds erst vor Altenstein, hinter Pfaffendorf und vor Leuzendorf. Über Bischwind in einer lange Schleife hinauf zur Ruine Bramberg. Weiteres Ab und Auf bis Jesserndorf, dann die finale lange Stei gung nach Bühl. Oben folgen wir zeitweise dem Rennweg. Schließ lich ab nach Rudendorf ins Tal der Lauter, die uns nach Baunach begleitet. Weg be schrei bung Wir benutzen fast nur Rad-, Feld und Waldwege sowie wenig Start punkt ist am Bahn hof Ebern. Wir steigen aus dem Zug und befahrene Nebenstraßen und sind meist mitten in der Natur. lenken gleich links vor zum Bahnübergang. Da rechts in die Georg- Eine Spezialmarkierung gibt es nicht, aber das allgemeine Radweg- Nadler-Straße und weiter in der Häfnergasse bis zur Vorfahrtsstraße. -
The Existence of Embedded Minimal Hypersurfaces 3
THE EXISTENCE OF EMBEDDED MINIMAL HYPERSURFACES CAMILLO DE LELLIS AND DOMINIK TASNADY Abstract. We give a shorter proof of the existence of nontrivial closed minimal hypersur- faces in closed smooth (n + 1)–dimensional Riemannian manifolds, a theorem proved first by Pitts for 2 ≤ n ≤ 5 and extended later by Schoen and Simon to any n. 0. Introduction In this paper we give a proof of the following theorem, a natural generalization of the classical existence of nontrivial simple closed geodesics in closed 2–d Riemannian manifolds. Theorem 0.1. Let M be an (n+1)-dimensional smooth closed Riemannian manifold. Then there is a nontrivial embedded minimal hypersurface Σ ⊂ M without boundary with a singular set Sing Σ of Hausdorff dimension at most n − 7. More precisely, Σ is a closed set of finite Hn–measure and Sing Σ ⊂ Σ is the smallest closed set S such that M \ S is a smooth embedded hypersurface (Σ \ Sing Σ is in fact analytic if M is analytic). In this paper smooth will always mean C∞. In fact, the result remains true for any C4 Riemannian manifold M, Σ then will be of class C2 (see [19]). Moreover Σ\Sing Σ ω = 0 for any exact n–form on M. The case 2 ≤ n ≤ 5 was proved by Pitts inR his groundbreaking monograph [16], an outstanding contribution which triggered all the subsequent research in the topic. The general case was proved by Schoen and Simon in [19], building heavily upon the work of Pitts. The monograph [16] can be ideally split into two parts. -
Vom Oberen Berg Flussab Bis Bamberg
Naturpark-Runden im Bamberger Karte am Ende des Dokuments in höherer Auflösung. Norden (2): Vom Oberen Berg flussab bis Bamberg Entfernung: ca. 43 km, Dauer: ca. 1 Tag Karte am Ende des Dokuments in höherer Auflösung. Vorwort Blendende Aussichten vom Oberen Berg, Auenlandschaften als reine Augenweide und dazwischen Fachwerk zum Sattsehen – da ist das bisschen Action rasch vergessen, das wir brauchen, um ein paar Karte am Ende des Dokuments in höherer Spitzen zu meistern. Relaxen können wir ja ab Rattelsdorf mit der Auflösung. Stand: 8.9.2017 ganzen Familie. In Ebern schieben wir uns wie bei Tour 1 zunächst kraftvoll über Fierst hoch zum Oberen Berg und den beiden Windrädern. Dann brausen wir hinunter nach Untermerzbach und in den Itzgrund. Nur noch kleinere Stei gungen erwarten uns und meist geht es flach dahin. Vorbei an Weg be schrei bung Bilderbuchorten, die mit reichem Fachwerkschmuck glänzen. Auf Start der Tour ist am Bahn hof Ebern. Wie bei Tour 1 am Bahn hof über ruhigen Nebenstraßen durch den weiten Grund. Ab Baunach haupt- die Gleise, links die Georg-Nadler-Straße abwärts. Unten an der säch lich auf Radwegen nach Kemmern, Hallstadt und schließ lich Coburger Straße rechts. Auf Radwegen erst rechts, dann links neben hinein nach Bam berg. der Straße her. Im An schluss lange steil hinauf. Fierst. Die ge samte Tour ist nicht durchgängig markiert. Al ler dings gibt es Wenn knapp hinter dem Ortsende der Radweg verzweigt, schlagen immer klare Wegweisungen und vielfach spezielle wir die rechte Route in Rich tung Untermerzbach ein. Dazu über die Radwegmarkierungen. Etwas Besonderes bietet sich in Rattelsdorf: Straße, durch ein kurzes Wald stück und aufwärts. -
Arxiv:1904.02289V1 [Math.DG]
Stationary one-sided area-minimizing hypersurfaces with isolated singularities Zhenhua Liu Dedicated to Xunjing Wei Abstract. We extend the results of Hardt and Simon in [8] to prove that isolated singularities of stationary one-sided area-minimizing hypersurfaces can be locally perturbed away on the side that they are minimizing. 1. Introduction Area-minimizing hypersurfaces in n + 1-dimensional manifolds M n+1 are known to be smooth outside a set of Hausdorff dimension at most n − 7 ([7]). However, little is known about the geometry of the singular sets. In this regard, the best results to date are the structure theory of area-minimizing hypersurfaces with isolated singularities developed by Robert Hardt and Leon Simon in [16] and [8]. Roughly speaking, they have proved that (i) On any side of an area-minimizing hypercone, all area-minimizing bound- aries confined in that side are smooth and unique up to scalings. (ii) (Based on (i)) On any side of an area-minimizing hypersurface, if the n − 1 boundary of a Plateau problem is close enough to a smooth n − 1 submanifold of the cone, then the solution to the Plateau problem is smooth. arXiv:1904.02289v1 [math.DG] 4 Apr 2019 We will explain the terminologies contained in those statements later. These state- ments basically say that isolated singularities of area-minimizing hypersurfaces be- have as well as one can imagine, in that one can always perturb them away locally in a suitable sense to get smooth objects. In this paper, we extend these results to hypersurfaces that are only area-minimizing on one side. -
Regularity of Capillary Surfaces Over Domains with Corners
Pacific Journal of Mathematics REGULARITY OF CAPILLARY SURFACES OVER DOMAINS WITH CORNERS LEON M. SIMON Vol. 88, No. 2 April 1980 PACIFIC JOURNAL OF MATHEMATICS Vol. 88, No. 2, 1980 REGULARITY OF CAPILLARY SURFACES OVER DOMAINS WITH CORNERS LEON SIMON Using the usual mathematical model (capillary surface equation with contact angle boundary condition) we discuss regularity of the equilibrium free surface of a fluid in a cylin- drical container in case the container cross-section has corners. It is shown that good regularity holds at a corner if the "corner angle" θ satisfies O<0<τr and θ + 2β>ττ, where 0</3< π/2 is the contact angle between the fluid surface and the container wall. It is known that no regularity holds in case θ + 2β<π, hence only the borderline case θ + 2β = π remains open. We here want to examine the regularity of solutions of capillary surface type equations (subject to contact angle boundary conditions) on domain Ω ciί2 in a neighbourhood of a point of dΩ where there is a corner. To be specific let Ω (as depicted in the diagram) be a region 2 contained in DR = {x e R : | x | < R) (R > 0 given) such that dΩ consists of a circular segment of dDR together with two compact Jordan arcs 7i, 72 such that 7i Π 72 = {0}. 7i, 72 are supposed to be Qua fQΐ some o < a < 1, and to meet at 0 with angle (measured in Ω) θ, 0 < θ < π. We also suppose (without loss of generality, since we can always take a smaller R) that 7* intersects dD0 in a single point for each i = 1, 2, 0 < p < R. -
Research Advocacy Education
RESEARCH EDUCATION ADVOCACY 2016 SPUR brings people together to develop solutions to the big problems cities face. We work across the Bay Area, with offices in San Francisco, San Jose and Oakland. We do our work in three ways: 9 Research We identify pressing problems and develop strategies to solve them. 14 Education We engage people in the life of their city. 21 Advocacy We work with decision-makers to get our proposals put in to practice. RESEARCH SPUR Report: Seamless Transit The Bay Area’s public transit system is notoriously fragmented. Riders contend with more than two dozen different operators with divergent maps, schedules and fares — not to mention uncoordinated capital planning and investment. SPUR’s report Seamless Transit proposed a set of recommendations to make the region’s transit function like one rational, easy-to-use system. Our proposals gained support from Bay Area residents, employers and city leaders who want to grow transit usage. It also sparked a national conversation, with coverage in The New York Times and The Washington Post. In response to the study, transit agencies and the Metropolitan Transportation Commission have begun collaborating to coordinate their transit infor- mation, create regional fare passes that work on multiple operators and design new transit hubs for seamless connections. Getting to Key South Bay Destinations Santana Row and Valley Fair are magnets for millions of visitors who come to shop, eat, work and people-watch every year. Due to their economic success, both are plan- ning to expand. A case study in retrofitting suburbia, these retail and entertainment destinations bump up against low-density development and are primarily accessible by car only.