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Journal Abbreviations
Abbreviations of Names of Serials This list gives the form of references used in Mathematical Reviews (MR). not previously listed ⇤ The abbreviation is followed by the complete title, the place of publication journal indexed cover-to-cover § and other pertinent information. † monographic series Update date: July 1, 2016 4OR 4OR. A Quarterly Journal of Operations Research. Springer, Berlin. ISSN Acta Math. Hungar. Acta Mathematica Hungarica. Akad. Kiad´o,Budapest. § 1619-4500. ISSN 0236-5294. 29o Col´oq. Bras. Mat. 29o Col´oquio Brasileiro de Matem´atica. [29th Brazilian Acta Math. Sci. Ser. A Chin. Ed. Acta Mathematica Scientia. Series A. Shuxue † § Mathematics Colloquium] Inst. Nac. Mat. Pura Apl. (IMPA), Rio de Janeiro. Wuli Xuebao. Chinese Edition. Kexue Chubanshe (Science Press), Beijing. ISSN o o † 30 Col´oq. Bras. Mat. 30 Col´oquio Brasileiro de Matem´atica. [30th Brazilian 1003-3998. ⇤ Mathematics Colloquium] Inst. Nac. Mat. Pura Apl. (IMPA), Rio de Janeiro. Acta Math. Sci. Ser. B Engl. Ed. Acta Mathematica Scientia. Series B. English § Edition. Sci. Press Beijing, Beijing. ISSN 0252-9602. † Aastaraam. Eesti Mat. Selts Aastaraamat. Eesti Matemaatika Selts. [Annual. Estonian Mathematical Society] Eesti Mat. Selts, Tartu. ISSN 1406-4316. Acta Math. Sin. (Engl. Ser.) Acta Mathematica Sinica (English Series). § Springer, Berlin. ISSN 1439-8516. † Abel Symp. Abel Symposia. Springer, Heidelberg. ISSN 2193-2808. Abh. Akad. Wiss. G¨ottingen Neue Folge Abhandlungen der Akademie der Acta Math. Sinica (Chin. Ser.) Acta Mathematica Sinica. Chinese Series. † § Wissenschaften zu G¨ottingen. Neue Folge. [Papers of the Academy of Sciences Chinese Math. Soc., Acta Math. Sinica Ed. Comm., Beijing. ISSN 0583-1431. -
A Unified Approach to Three Themes in Harmonic Analysis ($1^{St} $ Part)
A UNIFIED APPROACH TO THREE THEMES IN HARMONIC ANALYSIS (I & II) (I) THE LINEAR HILBERT TRANSFORM AND MAXIMAL OPERATOR ALONG VARIABLE CURVES (II) CARLESON TYPE OPERATORS IN THE PRESENCE OF CURVATURE (III) THE BILINEAR HILBERT TRANSFORM AND MAXIMAL OPERATOR ALONG VARIABLE CURVES VICTOR LIE In loving memory of Elias Stein, whose deep mathematical breadth and vision for unified theories and fundamental concepts have shaped the field of harmonic analysis for more than half a century. arXiv:1902.03807v2 [math.AP] 2 Oct 2020 Date: October 5, 2020. Key words and phrases. Wave-packet analysis, Hilbert transform and Maximal oper- ator along curves, Carleson-type operators in the presence of curvature, bilinear Hilbert transform and maximal operators along curves, Zygmund’s differentiation conjecture, Car- leson’s Theorem, shifted square functions, almost orthogonality. The author was supported by the National Science Foundation under Grant No. DMS- 1500958. The most recent revision of the paper was performed while the author was supported by the National Science Foundation under Grant No. DMS-1900801. 1 2 VICTOR LIE Abstract. In the present paper and its sequel [63], we address three rich historical themes in harmonic analysis that rely fundamentally on the concept of non-zero curvature. Namely, we focus on the boundedness properties of (I) the linear Hilbert transform and maximal operator along variable curves, (II) Carleson-type operators in the presence of curvature, and (III) the bilinear Hilbert transform and maximal operator along variable curves. Our Main Theorem states that, given a general variable curve γ(x,t) in the plane that is assumed only to be measurable in x and to satisfy suitable non-zero curvature (in t) and non-degeneracy conditions, all of the above itemized operators defined along the curve γ are Lp-bounded for 1 <p< ∞. -
Ergodic Theory Plays a Key Role in Multiple Fields Steven Ashley Science Writer
CORE CONCEPTS Core Concept: Ergodic theory plays a key role in multiple fields Steven Ashley Science Writer Statistical mechanics is a powerful set of professor Tom Ward, reached a key milestone mathematical tools that uses probability the- in the early 1930s when American mathema- ory to bridge the enormous gap between the tician George D. Birkhoff and Austrian-Hun- unknowable behaviors of individual atoms garian (and later, American) mathematician and molecules and those of large aggregate sys- and physicist John von Neumann separately tems of them—a volume of gas, for example. reconsidered and reformulated Boltzmann’ser- Fundamental to statistical mechanics is godic hypothesis, leading to the pointwise and ergodic theory, which offers a mathematical mean ergodic theories, respectively (see ref. 1). means to study the long-term average behavior These results consider a dynamical sys- of complex systems, such as the behavior of tem—whetheranidealgasorothercomplex molecules in a gas or the interactions of vi- systems—in which some transformation func- brating atoms in a crystal. The landmark con- tion maps the phase state of the system into cepts and methods of ergodic theory continue its state one unit of time later. “Given a mea- to play an important role in statistical mechan- sure-preserving system, a probability space ics, physics, mathematics, and other fields. that is acted on by the transformation in Ergodicity was first introduced by the a way that models physical conservation laws, Austrian physicist Ludwig Boltzmann laid Austrian physicist Ludwig Boltzmann in the what properties might it have?” asks Ward, 1870s, following on the originator of statisti- who is managing editor of the journal Ergodic the foundation for modern-day ergodic the- cal mechanics, physicist James Clark Max- Theory and Dynamical Systems.Themeasure ory. -
Fall 2017 MATH 70330 “Intermediate Geometry and Topology” Pavel Mnev Detailed Plan. I. Characteristic Classes. (A) Fiber/Vec
Fall 2017 MATH 70330 \Intermediate Geometry and Topology" Pavel Mnev Detailed plan. I. Characteristic classes. (a) Fiber/vector/principal bundles. Examples. Connections, curvature. Rie- mannian case. Ref: [MT97]. (b) (2 classes.) Stiefel-Whitney, Chern and Pontryagin classes { properties, axiomatic definition. Classifying map and classifying bundle. RP 1; CP 1, infinite Grassmanians Gr(n; 1), CW structure, cohomology ring (univer- sal characteristic classes). Characteristic classes as obstructions (e.g. for embeddability of projective spaces). Euler class. Also: Chern character, splitting principle, Chern roots. Also: BG for a finite group/Lie group, group cohomology. Ref: [MS74]; also: [BT82, Hat98, LM98, May99]. (c) Chern-Weil homomorphism. Example: Chern-Gauss-Bonnet formula. Chern- Simons forms. Ref: Appendix C in [MS74]; [AM05, Dup78, MT97]. (d) Equivariant cohomology. Borel model (homotopy quotient), algebraic ver- sion { Cartan and Weil models. Ref: [GS99, Mei06, Tu13]. II. Bits of symplectic geometry. (a) Symplectic linear algebra, Lagrangian Grassmanian, Maslov class. Ref: [BW97, Ran, MS17]. (b) Symplectic manifolds, Darboux theorem (proof via Moser's trick). Dis- tinguished submanifolds (isotropic, coisotropic, Lagrangian). Examples. Constructions of Lagrangians in T ∗M (graph, conormal bundle). Ref: [DS00]. (c) Hamiltonian group actions, moment maps, symplectic reduction. Ref: [Jef] (lectures 2{4,7), [DS00]. (d) (Optional) Convexity theorem (Atyiah-Guillemin-Sternberg) for the mo- ment map of a Hamiltonian torus action. Toric varieties as symplectic re- ductions, their moment polytopes, Delzant's theorem. Ref: [Pra99, Sch], Part XI in [DS00], lectures 5,6 in [Jef]. (e) Localization theorems: Duistermaat-Heckman and Atiyah-Bott. Ref: [Mei06, Tu13], [Jef] (lecture 10). (f) (Optional) Classical field theory via Lagrangian correspondences. -
All That Math Portraits of Mathematicians As Young Researchers
Downloaded from orbit.dtu.dk on: Oct 06, 2021 All that Math Portraits of mathematicians as young researchers Hansen, Vagn Lundsgaard Published in: EMS Newsletter Publication date: 2012 Document Version Publisher's PDF, also known as Version of record Link back to DTU Orbit Citation (APA): Hansen, V. L. (2012). All that Math: Portraits of mathematicians as young researchers. EMS Newsletter, (85), 61-62. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. -
Mathematical Finance SIAM Books General and Recreational Maths
Mathematics Pure Mathematics Applied Mathematics Statistics and Probability Mathematical Finance SIAM books General and Recreational Maths www.cambridge.org/mathematics 2007 Contents Highlights – SIAM Books Analysis and Probability 1 Cambridge University Press is delighted to announce Discrete Mathematics and a new arrangement with the Society of Industrial Foundations 2 and Applied Mathematics (SIAM), which means that Geometry and Topology 3 outside North America, and some parts of Asia, SIAM books will be available directly from Cambridge Algebra and Number Theory 6 University Press. If you are unsure what this means Computational Science 8 for you, please contact your local Cambridge office Dynamical Systems, Mechanics (details of these can be found on the inside back cover and Modelling 9 of this catalogue) or bookseller. Mathematical Physics and Biology 11 This catalogue contains only a selection of these Statistics, Applied Probability and books. However, you can browse all the SIAM titles Optimization 13 currently available from Cambridge (with many more Mathematical Finance 16 to come!) by visiting our web page: Classics in Mathematical Finance 17 www.cambridge.org/siam Computer Science 18 Cambridge University Press is also pleased to offer the SIAM Books 20 30% Members’ Discount on SIAM books. General and Recreational Maths 23 SIAM membership details can be obtained from www.siam.org/membership/ Author and Title Index 25 www.cambridge.org/mathematics This catalogue contains a selection of our most recent publishing in this area. Please visit our website for a full and searchable listing of all our titles in print and also an extensive range of news, features and resources. -
An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron
An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron. Buchstaber, Victor M and Ray, Nigel 2008 MIMS EPrint: 2008.31 Manchester Institute for Mathematical Sciences School of Mathematics The University of Manchester Reports available from: http://eprints.maths.manchester.ac.uk/ And by contacting: The MIMS Secretary School of Mathematics The University of Manchester Manchester, M13 9PL, UK ISSN 1749-9097 Contemporary Mathematics An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron Victor M Buchstaber and Nigel Ray 1. An Invitation Motivation. Sometime around the turn of the recent millennium, those of us in Manchester and Moscow who had been collaborating since the mid-1990s began using the term toric topology to describe our widening interests in certain well-behaved actions of the torus. Little did we realise that, within seven years, a significant international conference would be planned with the subject as its theme, and delightful Japanese hospitality at its heart. When first asked to prepare this article, we fantasised about an authorita- tive and comprehensive survey; one that would lead readers carefully through the foothills above which the subject rises, and provide techniques for gaining sufficient height to glimpse its extensive mathematical vistas. All this, and more, would be illuminated by references to the wonderful Osaka lectures! Soon afterwards, however, reality took hold, and we began to appreciate that such a task could not be completed to our satisfaction within the timescale avail- able. Simultaneously, we understood that at least as valuable a service could be rendered to conference participants by an invitation to a wider mathematical au- dience - an invitation to savour the atmosphere and texture of the subject, to consider its geology and history in terms of selected examples and representative literature, to glimpse its exciting future through ongoing projects; and perhaps to locate favourite Osaka lectures within a novel conceptual framework. -
List of Mathematics Impact Factor Journals Indexed in ISI Web of Science (JCR SCI, 2016)
List of Mathematics Impact Factor Journals Indexed in ISI Web of Science (JCR SCI, 2016) Compiled by: Arslan Sheikh In Charge Reference & Research Section Library Information Services COMSATS Institute of Information Technology Park Road, Islamabad-Pakistan. Cell No +92-0321-9423071 [email protected] Rank Journal Title ISSN Impact Factor 1 ACTA NUMERICA 0962-4929 6.250 2 SIAM REVIEW 0036-1445 4.897 3 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 0894-0347 4.692 4 Nonlinear Analysis-Hybrid Systems 1751-570X 3.963 5 ANNALS OF MATHEMATICS 0003-486X 3.921 6 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 0010-3640 3.793 7 INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 1049-8923 3.393 8 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 0098-3500 3.275 9 Publications Mathematiques de l IHES 0073-8301 3.182 10 INVENTIONES MATHEMATICAE 0020-9910 2.946 11 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 0218-2025 2.860 12 Advances in Nonlinear Analysis 2191-9496 2.844 13 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 1615-3375 2.829 14 Communications in Nonlinear Science and Numerical Simulation 1007-5704 2.784 15 FUZZY SETS AND SYSTEMS 0165-0114 2.718 16 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 1063-5203 2.634 17 SIAM Journal on Imaging Sciences 1936-4954 2.485 18 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 0294-1449 2.450 19 ACTA MATHEMATICA 0001-5962 2.448 20 MATHEMATICAL PROGRAMMING 0025-5610 2.446 21 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 0003-9527 2.392 22 CHAOS 1054-1500 2.283 23 APPLIED MATHEMATICS LETTERS 0893-9659 -
Margaret Dusa Mcduff Hon Dsc Warwick Oral Version
Margaret Dusa McDuff Hon DSc Warwick oral version Mr Vice Chancellor, Graduates, Graduands, Ladies and Gentlemen, We have with us today a mathematician whose work has opened a hugely fertile new branch of mathematics. She has brought symplectic geometry and topology to the attention of the mathematical world. Dusa McDuff is Professor of Mathematics at Barnard College in New York. Born in London, Dusa grew up in Edinburgh, where her father the influential biologist C.H. Waddington was Professor of Genetics. Dusa wanted to be a mathematician from an early age. She studied in Edinburgh then Cambridge. Her doctoral work was published in the top journal Annals of Mathematics and remains important today. Subsequently Dusa studied in Moscow with the great Russian mathematician Israel Gelfand. After various temporary posts, in 1976 she was appointed to a lectureship at Warwick. However in 1978 she moved to the State University of New York at Stony Brook. In 2007 she was appointed to the Kimmel chair at Barnard, sister college to Columbia University. Shortly after her move to the US, Dusa's research shifted towards symplectic geometry. This subject has its origins in mechanics and continues to be important in various branches of physics. In topology the objects are flabby, and in geometry they are rigid. Symplectic geometry sits in between. In the late 1970s symplectic geometry was beginning to develop in completely new directions, spurred by deep ideas introduced by Mikhail Gromov (one of the world's most creative living mathematicians). Over the years Dusa and her students have played a central role in developing this new field called symplectic topology. -
Algorithmic Social Sciences Research Unit ASSRU Department of Economics University of Trento Via Inama 5 381 22 Trento, Italy
Algorithmic Social Sciences Research Unit ASSRU Department of Economics University of Trento Via Inama 5 381 22 Trento, Italy Discussion Paper Series 7 – 2014/I Alan Turing A Forbidden Fruit, its Serendipitous Fall and a Poisoned Bite K. VELA VELUPILLAI1 August 2014 ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1!Department of Economics, The New School for Social Research (NSSR), 6 East 16th Street, New York, NY 10003, USA & Department of Economics, University of Trento, via Inama 5, 381 22 Trento, Italy. Email: [email protected] Forthcoming in: the Interdisciplinary Journal of Economics and Business Law (IJEBL), Vol. 4, Issue 1. Alan Turing A Forbidden Fruit, its Serendipitous Fall and a Poisoned Bite K. Vela Velupillai Department of Economics New School for Social Research (NSSR) New York, NY 10003 USA 15 August 2014 “We can only see a short distance ahead, but we can see plenty that needs to be done.”. Turing, 1950, p. 460. The metaphor of the ‘fall of man’ (at least in Christian traditions), the story of the origins of the Universal Law of Gravitation (at the imaginative hands of Newton) and the ‘bite’ that tragically ended a young Turing’s life, sixty years ago, even at the very heights of his intellectual powers, are all about the way apples have shaped our fate – for good and evil. This is a commemorative essay, on the sixtieth anniversary of the death of Turing, apparently by his own hands, as a result of a bite – or two – in an apple, found to have been poisoned, most likely by himself (although conspiracy theories have not completely ‘died’, during these six decades of sadness, at his untimely death). -
Abbreviations of Names of Serials
Abbreviations of Names of Serials This list gives the form of references used in Mathematical Reviews (MR). ∗ not previously listed The abbreviation is followed by the complete title, the place of publication x journal indexed cover-to-cover and other pertinent information. y monographic series Update date: January 30, 2018 4OR 4OR. A Quarterly Journal of Operations Research. Springer, Berlin. ISSN xActa Math. Appl. Sin. Engl. Ser. Acta Mathematicae Applicatae Sinica. English 1619-4500. Series. Springer, Heidelberg. ISSN 0168-9673. y 30o Col´oq.Bras. Mat. 30o Col´oquioBrasileiro de Matem´atica. [30th Brazilian xActa Math. Hungar. Acta Mathematica Hungarica. Akad. Kiad´o,Budapest. Mathematics Colloquium] Inst. Nac. Mat. Pura Apl. (IMPA), Rio de Janeiro. ISSN 0236-5294. y Aastaraam. Eesti Mat. Selts Aastaraamat. Eesti Matemaatika Selts. [Annual. xActa Math. Sci. Ser. A Chin. Ed. Acta Mathematica Scientia. Series A. Shuxue Estonian Mathematical Society] Eesti Mat. Selts, Tartu. ISSN 1406-4316. Wuli Xuebao. Chinese Edition. Kexue Chubanshe (Science Press), Beijing. ISSN y Abel Symp. Abel Symposia. Springer, Heidelberg. ISSN 2193-2808. 1003-3998. y Abh. Akad. Wiss. G¨ottingenNeue Folge Abhandlungen der Akademie der xActa Math. Sci. Ser. B Engl. Ed. Acta Mathematica Scientia. Series B. English Wissenschaften zu G¨ottingen.Neue Folge. [Papers of the Academy of Sciences Edition. Sci. Press Beijing, Beijing. ISSN 0252-9602. in G¨ottingen.New Series] De Gruyter/Akademie Forschung, Berlin. ISSN 0930- xActa Math. Sin. (Engl. Ser.) Acta Mathematica Sinica (English Series). 4304. Springer, Berlin. ISSN 1439-8516. y Abh. Akad. Wiss. Hamburg Abhandlungen der Akademie der Wissenschaften xActa Math. Sinica (Chin. Ser.) Acta Mathematica Sinica. -
Alan Turing: Virtuosity and Visualisation
http://dx.doi.org/10.14236/ewic/EVA2016.40 Alan Turing: Virtuosity and visualisation Jonathan P. Bowen London South Bank University, UK & Museophile Limited, Oxford, UK http://www.jpbowen.com [email protected] Alan Turing (1912–1954) has been increasingly recognised as an important mathematician who, despite his short life, developed mathematical ideas that today have led to foundational aspects of computer science, especially with respect to computability, artificial intelligence and morphogenesis (the growth of biological patterns, important in mathematical biology). Some of Turing’s mathematics and related ideas can be visualised in interesting and even artistic ways, aided using software. In addition, a significant corpus of the historical documentation on Turing can now be accessed online as a number of major archives have digitised material related to Turing. This paper introduces some of the major scientific work of Turing and ways in which it can be visualised, often artistically. Turing’s fame has, especially since his centenary in 2012, reached a level where he has had a cultural influence on the arts in general. Although the story of Turing can be seen as one of tragedy, with his life cut short, from a historical viewpoint Turing’s contribution to humankind has been triumphant. Artificial Intelligence. Digital art. History of mathematics. Morphogenesis. Turing Machines. Visualisation. 1. BACKGROUND AND INTRODUCTION a Turing Machine, with visualisations related to of some of Turing’s ideas. Section 3 presents some Alan Mathison Turing, OBE, FRS (23 June 1912 – 7 Turing-related artwork, leading to a new book cover. June 1954) was a British mathematician and In Section 4, major archives relating to Turing are codebreaker (Newman 1955, Hodges 1983/2012).