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CURRENT EVENTS BULLETIN Friday, January 8, 2016, 1:00 PM to 5:00 PM Room 4C-3 Washington State Convention Center Joint Mathematics Meetings, Seattle, WA
A MERICAN M ATHEMATICAL S OCIETY CURRENT EVENTS BULLETIN Friday, January 8, 2016, 1:00 PM to 5:00 PM Room 4C-3 Washington State Convention Center Joint Mathematics Meetings, Seattle, WA 1:00 PM Carina Curto, Pennsylvania State University What can topology tell us about the neural code? Surprising new applications of what used to be thought of as “pure” mathematics. 2:00 PM Yuval Peres, Microsoft Research and University of California, Berkeley, and Lionel Levine, Cornell University Laplacian growth, sandpiles and scaling limits Striking large-scale structure arising from simple cellular automata. 3:00 PM Timothy Gowers, Cambridge University Probabilistic combinatorics and the recent work of Peter Keevash The major existence conjecture for combinatorial designs has been proven! 4:00 PM Amie Wilkinson, University of Chicago What are Lyapunov exponents, and why are they interesting? A basic tool in understanding the predictability of physical systems, explained. Organized by David Eisenbud, Mathematical Sciences Research Institute Introduction to the Current Events Bulletin Will the Riemann Hypothesis be proved this week? What is the Geometric Langlands Conjecture about? How could you best exploit a stream of data flowing by too fast to capture? I think we mathematicians are provoked to ask such questions by our sense that underneath the vastness of mathematics is a fundamental unity allowing us to look into many different corners -- though we couldn't possibly work in all of them. I love the idea of having an expert explain such things to me in a brief, accessible way. And I, like most of us, love common-room gossip. -
What Are Lyapunov Exponents, and Why Are They Interesting?
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 54, Number 1, January 2017, Pages 79–105 http://dx.doi.org/10.1090/bull/1552 Article electronically published on September 6, 2016 WHAT ARE LYAPUNOV EXPONENTS, AND WHY ARE THEY INTERESTING? AMIE WILKINSON Introduction At the 2014 International Congress of Mathematicians in Seoul, South Korea, Franco-Brazilian mathematician Artur Avila was awarded the Fields Medal for “his profound contributions to dynamical systems theory, which have changed the face of the field, using the powerful idea of renormalization as a unifying principle.”1 Although it is not explicitly mentioned in this citation, there is a second unify- ing concept in Avila’s work that is closely tied with renormalization: Lyapunov (or characteristic) exponents. Lyapunov exponents play a key role in three areas of Avila’s research: smooth ergodic theory, billiards and translation surfaces, and the spectral theory of 1-dimensional Schr¨odinger operators. Here we take the op- portunity to explore these areas and reveal some underlying themes connecting exponents, chaotic dynamics and renormalization. But first, what are Lyapunov exponents? Let’s begin by viewing them in one of their natural habitats: the iterated barycentric subdivision of a triangle. When the midpoint of each side of a triangle is connected to its opposite vertex by a line segment, the three resulting segments meet in a point in the interior of the triangle. The barycentric subdivision of a triangle is the collection of 6 smaller triangles determined by these segments and the edges of the original triangle: Figure 1. Barycentric subdivision. Received by the editors August 2, 2016. -
Read Press Release
The Work of Artur Avila Artur Avila has made outstanding contributions to dynamical systems, analysis, and other areas, in many cases proving decisive results that solved long-standing open problems. A native of Brazil who spends part of his time there and part in France, he combines the strong mathematical cultures and traditions of both countries. Nearly all his work has been done through collaborations with some 30 mathematicians around the world. To these collaborations Avila brings formidable technical power, the ingenuity and tenacity of a master problem-solver, and an unerring sense for deep and significant questions. Avila's achievements are many and span a broad range of topics; here we focus on only a few highlights. One of his early significant results closes a chapter on a long story that started in the 1970s. At that time, physicists, most notably Mitchell Feigenbaum, began trying to understand how chaos can arise out of very simple systems. Some of the systems they looked at were based on iterating a mathematical rule such as 3x(1−x). Starting with a given point, one can watch the trajectory of the point under repeated applications of the rule; one can think of the rule as moving the starting point around over time. For some maps, the trajectories eventually settle into stable orbits, while for other maps the trajectories become chaotic. Out of the drive to understand such phenomena grew the subject of discrete dynamical systems, to which scores of mathematicians contributed in the ensuing decades. Among the central aims was to develop ways to predict long-time behavior. -
On the Old Archive of the Lăpușna County Court and on Its 2345 Documents from the 15Th–19Th Centuries
article doi:10.17684/i11A163en DIACRONIA ISSN: 2393-1140 Impavidi progrediamur! www.diacronia.ro On the old archive of the Lăpușna County Court and on its 2345 documents from the 15th–19th centuries Petronel Zahariuc? Faculty of History, “Alexandru Ioan Cuza” University, Bd. Carol I 11, 700506 Iași, Romania Article info Abstract History: On July 10, 1926, the First-President of the Lăpușna Court, judge Eugen Ionescu- Received April 23, 2020 Dârzeu and the regional manager of the Romanian Archives, L.T. Boga, signed Accepted May 2, 2020 the acceptance protocol for the old archive of the Lăpușna Court, which com- Published June 10, 2020 prised around 2,345 documents. During the inventorying process, L.T. Boga and the archivists in Kishinev typed several copies of an opis, of which one (copy Cuvinte-cheie: No. 3)—which I feature here—ended up in the collections of the Romanian Moldova Academy Library, probably from the archive of judge E. Ionescu-Dârzeu. Cur- Bessarabia rently, this collection was integrated to Fund 220 within the Kishinev Archives. villages Following a global appraisal of the documents published from this archive, I may medieval documents state that around a quarter of them (approximately 500) were edited, mainly by premodern documents L.T. Boga and by the editors of the collection Moldova în epoca feudalismului. It is the responsibility of present or future researchers to edit integrally or as abstracts, on a theme-based or chronology-based approach, other documents within this collection. Until the fulfilment of this desideratum, the critical editing of this opis introduces in the scientific circuit around 2,000 documents, as abstracts. -
Marco A. Ciufolini
Marco A. Ciufolini Professor of Chemistry Address: Department of Chemistry, University of British Columbia 2036 Main Mall, Vancouver, BC V6T 1Z1, Canada Tel: [+1] (604) 822-2419; Fax: [+1] (604) 822-8710 e-mail: [email protected] http://www.chem.ubc.ca/our-people/profiles/marco-ciufolini Education: Spring Hill College (Mobile, AL): B.S. (chemistry), 1978, Magna cum Laude The University of Michigan (Ann Arbor, MI): Ph. D., 1981 (Prof. M. Koreeda) Yale University (New Haven, CT): Postdoc, 1982-1984 (Prof. S. Danishefsky). Professional experience: Co-head, Div. of Med. Chem., UBC Center for Drug Res. and Dev. (CDRD), 2006-2009 Canada Research Chair in Synthetic Organic Chemistry, 2004-2018 Professor of Chemistry, University of British Columbia, Jul. 2004 – present Professor of Organic Chemistry, Université Claude Bernard Lyon 1 and Ecole Supérieure de Chimie, Physique, Electronique de Lyon, Sept 1997–Aug. 2004 Director, CNRS UMR 5078, Jan. 1999 - Dec. 2002 Adjunct Professor of Chemistry, Rice University, Mar. 2000-present Professor (Jul. 1997 - Dec. 1998); Associate Professor (Jul. 1990 - Jun. 1997); Assistant Professor (Jul 1984 - Jun. 1990) of Chemistry, Rice University, Houston, TX. Industrial relations: Consultant for several pharmaceutical laboratories in North America and Europe. Founder or co-founder of 4 companies: AB Science, SA (Paris, France, founded 2001, Euronext symbol: AB) Chrysalon, SA (Lyon, France, founded 2001, sold 2006) Global Pharmaceutical Consulting, Inc. (Houston, TX, founded 2002, dissolved 2005) Integrated Nanotherapeutics, Inc. (Vancouver, BC, founded 2014) Government Service: United States: Member of NIH Study Section ZRG3, 1996-1997 Member of several NIH Special Study Sections France: CNRS evaluation committees for various research units / institutes National committee for the review of technical schools National committee for the evaluation of young researchers Canada: Ad-hoc evaluation of the Ph.D. -
Arithmetic Sums of Nearly Affine Cantor Sets
UNIVERSITY OF CALIFORNIA, IRVINE Arithmetic Sums of Nearly Affine Cantor Sets DISSERTATION submitted in partial satisfaction of the requirements for the degree of DOCTOR OF PHILOSOPHY in Mathematics by Scott Northrup Dissertation Committee: Associate Professor Anton Gorodetski, Chair Professor Svetlana Jitomirskaya Associate Professor Germ´anA. Enciso 2015 c 2015 Scott Northrup DEDICATION To Cynthia and Max. ii TABLE OF CONTENTS Page LIST OF FIGURES iv ACKNOWLEDGMENTS v CURRICULUM VITAE vi ABSTRACT OF THE DISSERTATION vii Introduction 1 1 Outline 7 1.1 Statement of the Results . 7 1.2 Organization of the Thesis . 9 2 Cantor Sets 11 2.1 Dynamically Defined Cantor Sets . 11 2.2 Dimension Theory . 15 2.3 The Palis Conjecture . 18 2.4 Middle-α Cantor Sets . 19 2.5 Homogeneous Self-Similar Cantor Sets . 21 2.6 A Positive Answer to the Palis Conjecture . 22 2.7 The dimH C1 + dimH C2 < 1 Case . 23 3 Results for Nearly Affine Cantor Sets 26 3.1 Absolute Continuity of Convolutions . 26 3.2 Theorem 1.1 . 27 3.3 Construction of Measures for K and Cλ ..................... 28 3.4 Verifying the Conditions of Proposition 3.1 . 32 3.5 Corollaries . 41 4 Open Questions 42 Bibliography 44 A Proof of Proposition 3.1 51 iii LIST OF FIGURES Page 1 The horseshoe map; ' contracts the square horizontally and expands it verti- cally, before folding it back onto itself. The set of points invariant under this map will form a hyperbolic set, called Smale's Horseshoe............ 4 2.1 The Horseshoe map, again . 12 2.2 A few iterations of the Stable Manifold . -
The Tragicomedy of Romanian Communism
RESEARCH REPORT T O NATIONAL COUNCIL FOR SOVIET AND EAST EUROPEAN RESEARC H TITLE : THE TRAGICOMEDY OF ROMANIAN COMMUNIS M AUTHOR : Vladimir Tismanean u CONTRACTOR : Foreign Policy Researc h Institute PRINCIPAL INVESTIGATOR : Vladimir Tismanean u COUNCIL CONTRACT NUMBER : 903-0 4 DATE : September, 198 9 The work leading to this report was supported by funds provided b y the National Council for Soviet and East European Research . Th e analysis and interpretations contained in the report are those o f the author . a NOTE This report, based on an article to be published i n Eastern EuropeanPolitics andSocieties, is an inciden- tal product of the Council Contract identified on the title page . It is not the Final Report, which wa s distributed in August, 1989 . TABLE OF CONTENTS Page Introduction 1 Stalin's Romanian Disciples 1 1 The Comintern and the RCP 1 6 Stalinism for All Seasons 3 4 The Anti-De-Stalinization Platform 3 9 The Road to Absolute Power 43 The Manipulated Manipulator 47 Assault on the Party Apparatus 5 2 Notes 57 The Tragicomedy of Romanian Communis m Vladimir Tismanean u Un monde sans tyrans serait aussi ennuyeux qu'un jardi n zoologique sans hyenes . E . M . Cioran, Histoire et utopi e Now, despite eternal cabals in the inner clique and unendin g shifts of personnel, with their tremendous accumulation o f hatred, bitterness, and personal resentment, the Leader' s position can remain secure against chaotic palace revolution s not because of his superior gifts, about which the men in hi s intimate surroundings frequently have no great illusions, bu t because of these men's sincere and sensible conviction tha t without him everything would be immediately lost . -
Arxiv:1609.08664V2 [Math-Ph] 9 Dec 2017 Yhftde N[ in Hofstadter by Ae[ Case Atrpern Sntitne O Publication
UNIVERSAL HIERARCHICAL STRUCTURE OF QUASIPERIODIC EIGENFUNCTIONS SVETLANA JITOMIRSKAYA AND WENCAI LIU Abstract. We determine exact exponential asymptotics of eigenfunctions and of corre- sponding transfer matrices of the almost Mathieu operators for all frequencies in the lo- calization regime. This uncovers a universal structure in their behavior, governed by the continued fraction expansion of the frequency, explaining some predictions in physics liter- ature. In addition it proves the arithmetic version of the frequency transition conjecture. Finally, it leads to an explicit description of several non-regularity phenomena in the cor- responding non-uniformly hyperbolic cocycles, which is also of interest as both the first natural example of some of those phenomena and, more generally, the first non-artificial model where non-regularity can be explicitly studied. 1. Introduction A very captivating question and a longstanding theoretical challenge in solid state physics is to determine/understand the hierarchical structure of spectral features of operators describ- ing 2D Bloch electrons in perpendicular magnetic fields, as related to the continued fraction expansion of the magnetic flux. Such structure was first predicted in the work of Azbel in 1964 [11]. It was numerically confirmed through the famous butterfly plot and further argued for by Hofstadter in [29], for the spectrum of the almost Mathieu operator. This was even before this model was linked to the integer quantum Hall effect [48] and other important phenom- ena. Mathematically, it is known that the spectrum is a Cantor set for all irrational fluxes [5], and moreover, even all gaps predicted by the gap labeling are open in the non-critical case [6, 8]. -
The Hungarian Soviet Republic of 1919 and the Romanian Intervention
Revista de Științe Politice. Revue des Sciences Politiques • No. 66 • 2020: 29 - 39 ORIGINAL PAPER The Hungarian Soviet Republic of 1919 and the Romanian Intervention. A Historiographical Analysis 1) Florin Nacu Abstract The article reveals the moment and the implications of the Romanian intervention in Hungary, in 1919, after the proclamation of the Soviet Hungarian Republic, under the leadership of Bela Kun, an advocate and journalist with Jewish-Hungarian origin, born in 1886, at Cehu Silvaniei, then in Austria-Hungary, today in Romania. The issue was presented in the historiography with multiple senses. Romanian intervention was seen by the contemporaries as a defensive action of Romania to impose the decisions of December 1-st 1918 of Alba Iulia. Hungarian republican troops refused to retreat according to the international agreements on the Franchet D(Esperey Line. After Bela Kun seized power as a Bolshevik internationalist leader, on March, 21 1919, the great powers had seen an immediate danger for extending the Communism from Soviet Russia which was in the Civil War. For Romania, the attitude of Bela Kun was seen as a threat regarding Transylvania, because Bela Kun refused to admit the historical rights of Romania and declared war on Romania, on April 16, 1919. Romania succeeded to have Banat under complete Romanian administration on August 3, 1919, when Romanian troops entered in Timisoara. Romanian campaign in Hungary, started on passing Tisa on July 24 1919, had a double asset, as the researchers considered: on the main side, a communist government in Central Europe could be dismissed, on the other side; Romania could have more rights when the Treaty with Hungary will be signed. -
SHALOM NWODO CHINEDU from Evolution to Revolution
Covenant University Km. 10 Idiroko Road, Canaan Land, P.M.B 1023, Ota, Ogun State, Nigeria Website: www.covenantuniversity.edu.ng TH INAUGURAL 18 LECTURE From Evolution to Revolution: Biochemical Disruptions and Emerging Pathways for Securing Africa's Future SHALOM NWODO CHINEDU INAUGURAL LECTURE SERIES Vol. 9, No. 1, March, 2019 Covenant University 18th Inaugural Lecture From Evolution to Revolution: Biochemical Disruptions and Emerging Pathways for Securing Africa's Future Shalom Nwodo Chinedu, Ph.D Professor of Biochemistry (Enzymology & Molecular Genetics) Department of Biochemistry Covenant University, Ota Media & Corporate Affairs Covenant University, Km. 10 Idiroko Road, Canaan Land, P.M.B 1023, Ota, Ogun State, Nigeria Tel: +234-8115762473, 08171613173, 07066553463. www.covenantuniversity.edu.ng Covenant University Press, Km. 10 Idiroko Road, Canaan Land, P.M.B 1023, Ota, Ogun State, Nigeria ISSN: 2006-0327 Public Lecture Series. Vol. 9, No.1, March, 2019 Shalom Nwodo Chinedu, Ph.D Professor of Biochemistry (Enzymology & Molecular Genetics) Department of Biochemistry Covenant University, Ota From Evolution To Revolution: Biochemical Disruptions and Emerging Pathways for Securing Africa's Future THE FOUNDATION 1. PROTOCOL The Chancellor and Chairman, Board of Regents of Covenant University, Dr David O. Oyedepo; the Vice-President (Education), Living Faith Church World-Wide (LFCWW), Pastor (Mrs) Faith A. Oyedepo; esteemed members of the Board of Regents; the Vice- Chancellor, Professor AAA. Atayero; the Deputy Vice-Chancellor; the -
Mihaela DAMIAN GĂLĂȚENI ÎN SLUJBA
Mihaela DAMIAN GĂLĂȚENI ÎN SLUJBA REVOLUȚIEI BOLȘEVICE PEOPLE FROM GALAȚI IN SERVICE OF THE BOLTCHEVICK REVOLUTION - Abstract - The article deals with the events that took place during WWI, more exactly in the period comprised between the second half of 1917 and the first half of 1918, in Odessa and in other towns from Southern Russia. These places, at that time, sheltered a considerable number of institutions and persons from Romania. For the Romanians refugees from those places, the outburst of the Bolchevik revolution had unfortunate consequences. In the context of the anarchy that engulfed the whole territory of Russia, the Romanians became victims of acts of theft and terror. Among the persecutors, there were also other Romanian nationals, members of the Odessa branch of the Action Committee of the Social Democratic Party. Some members of this Committee originated from the town of Galaţi; they had been radicalized and had started to serve the interests of revolutionary Russia. Their actions are presented and analyzed in the present paper. Keywords: WWI, Bolchevik revolution, Galaţi, Odessa, Romanian revolutionary battalions. În timpul Primului Război Mondial, după ce o mare parte a teritoriului României a fost ocupat de armatele Puterilor Centrale, chiar de la sfârșitul anului 1916, autoritățile române au evacuat, spre siguranță, un număr important de întreprinderi și instituții din București, Iași, Brăila și Galați în sudul Rusiei, în special la Odesa (Ucraina) și Chilia Nouă (Basarabia). Așa de pildă, la Odesa, au Muzeul de Istorie „Paul Păltănea” Galaţi ([email protected]). Danubius, XXXV, Galaţi, 2017, pp. 73-94. 74 DANUBIUS XXXV fost evacuateunele spitale românești, cu bolnavii și personalul lor1, o școală militară de aviație și Șantierul Naval „Fernic” din Galați. -
Institutul De Studii Istorice Si Social
NR. INVENTAR: 3229 ARHIVELE NAŢIONALE SERVICIUL ARHIVE NAŢIONALE ISTORICE CENTRALE BIROUL ARHIVE CONTEMPORANE FOND INSTITUTUL DE STUDII ISTORICE ŞI SOCIAL-POLITICE FOTOTECA – Portrete INVENTAR 3414 u.a. Arhivele Nationale ale Romaniei PREFAŢĂ 1. Istoricul creatorului fondului - Institutul de Studii Istorice şi Social-Politice Institutul de Studii Istorice şi Social-Politice (I.S.I.S.P.) a devenit funcţional la 26 martie 1951, sub denumirea de Institut de Istorie a Partidului, având ca principal scop cercetarea şi (re)scrierea istoriei mişcării muncitoreşti, socialiste (social-democrate) şi comuniste din România şi din lume în conformitate cu propaganda oficială şi linia politico-ideologică a P.M.R./P.C.R. Relaţia Institutului cu Partidul Comunist este demonstrată prin directa tutelare a acestuia de către Comitetul Central al Partidului. Problema înfiinţării unui asemenea institut s-a discutat încă din anul 1950, când prin Hotărârea Biroului Politic al C.C. al P.M.R. nr.2/1950 s-a decis organizarea Institutului de Istorie a Partidului, însă noua instituţie şi-a început oficial activitatea un an mai târziu, la data de 8 mai 1951. Comitetul Politic Executiv al P.C.R. a hotărât la 22 martie 1966 transformarea Institutului de Istorie a Partidului în Institutul de Studii Istorice şi Social- Politice de pe lângă C.C. al P.C.R. Institutul era condus de un consiliu ştiinţific din care iniţial făceau parte şi unii dintre principalii lideri comunişti români: Gheorghe Gheorghiu- Dej, Ana Pauker, Vasile Luca, Teohari Georgescu, Lothar Rădăceanu, Iosif Chişinevschi, Alexandru Moghioroş, Gheorghe Apostol, Constantin Pârvulescu, Ion Niculi, Leonte Răutu, Mihail Roller, Gheorghe Stoica, Sorin Toma, A.