On the Dynamics of a Family of Critical Circle Endomorphisms
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Håkan Hedenmalm J-C
Bulletinen Svenska 15 oktober 2016 Redaktör: Ulf Persson Matematikersamfundets Bulletin Ansvarig utgivare: Milagros Izquierdo Meeting Grothendieck, Intervju med Luc Illusie : Ulf Persson Memories of Henkin: Christer Kiselman Havin on Mathematics: Serguei Shimorin, Minnen : Håkan Hedenmalm J-C. Yoccoz: Michael Benedicks Joint Meeting: CAT-SP-SW-MATH Umeå , 12-15 juni 2017 Bulletinen utkommer tre gånger per år I Januari, Maj och Oktober. Manusstopp är den första i respektive månad Ansvarig utgivare: Milagros Izquierdo Redaktör: Ulf Persson Adress: Medlemsutskicket c/o Ulf Persson Matematiska institutionen Chalmers Tekniska Högskola Manus kan insändas i allehanda format .ps, .pdf, .doc Dock i tillägg önskas en ren text-fil. Alla texter omformas till latex SVENSKA MATEMATIKERSAMFUNDET är en sammanslutning av matematikens utövare och vänner. Samfundet har till ändamål att främja utvecklingen inom matematikens olika verksamhetsfält och att befordra samarbetet mellan matematiker och företrädare för ämnets tillämpningsområden. För att bli medlem betala in avgiften på samfundets plusgirokonto 43 43 50-5. Ange namn och adress på inbetalningsavin (samt om Du arbetar vid någon av landets institutioner för matematik). Medlemsavgifter ( per år) Individuellt medlemsskap, 200 kr Reciprocitetsmedlem 100 kr. (medlem i matematiskt samfund i annat land med vilket SMS har reciprocitetsavtal): Doktorander gratis under två år Gymnasieskolor: 300 kr. Matematiska institutioner: Större 5 000 kr, mindre 2 500 kr (institutionerna får sälva avgöra om de är större eller mindre). Ständigt medlemsskap: 2 500 kr (engångsinbetalning) Man kan även bli individuellt medlem av EMS genom att betala in 220 kr till Samfundet och skriva EMS på talongen. HEMSIDA: http://www.swe-math-soc.se Här återfinnes bl.a. -
Stony Brook Mathematics
SSStttooonnnyyy BBBrrrooooookkk UUUnnniiivvveeerrrsssiiitttyyy The official electronic file of this thesis or dissertation is maintained by the University Libraries on behalf of The Graduate School at Stony Brook University. ©©© AAAllllll RRRiiiggghhhtttsss RRReeessseeerrrvvveeeddd bbbyyy AAAuuuttthhhooorrr... H´enon-like Maps and Renormalisation A Dissertation Presented by Peter Edward Hazard to The Graduate School in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Mathematics Stony Brook University December 2008 Stony Brook University The Graduate School Peter Edward Hazard We, the dissertation committee for the above candidate for the Doctor of Philosophy degree, hereby recommend acceptance of this dissertation. Marco Martens Associate Professor, Dept. of Mathematics, Stony Brook University, USA Dissertation Advisor Wim Nieuwpoort Professor Emeritus, Dept. of Chemistry, RuG Groningen, The Netherlands Chairman of Dissertation Henk Broer Professor, Dept. of Mathematics, RuG Groningen, The Netherlands Scott Sutherland Associate Professor, Dept. of Mathematics, Stony Brook University, USA Jeremy Kahn Lecturer, Dept. of Mathematics, Stony Brook University, USA Roland Roeder Post-doctoral Fellow, Dept. of Mathematics, Stony Brook University, USA Michael Benedicks Professor, Dept. of Mathematics, KTH Stockholm, Sweden Outside Member Andr´ede Carvalho Assistant Professor, Dept. of Mathematics, USP Sao Paulo, Brazil Outside Member Sebastian van Strien Professor, Dept. of Mathematics, University of Warwick, United Kingdom Outside Member This dissertation is accepted by the Graduate School Lawrence Martin Dean of the Graduate School ii Agreement of Joint Program The following is a dissertation submitted in partial fulfillment of the require- ments for the degree Doctor of Philosophy in Mathematics awarded jointly by Rijksuniversiteit Groningen, The Netherlands and Stony Brook University, USA. -
Report for the Academic Years 1987-88 and 1988-89
Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEARS 1987-88 AND 1988-89 PRINCETON • NEW JERSEY nijiUfi.CAL ?""l::r"- £90"^ jr^^VTE LIBriARlf THE !f^;STiTUTE FQll AC -.MiEO STUDY PR1NCE70M, FmEW JEfiGcV 08540 AS3G TABLE OF CONTENTS 7 FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 • OFFICERS OF THE ADMINISTRATION AND PROFESSOR AT LARGE 1 1 REPORT OF THE CHAIRMAN 14 REPORT OF THE DIRECTOR 1 ACKNOWLEDGMENTS 19 • FINANCIAL STATEMENTS AND INDEPENDENT AUDITORS' REPORT 32 REPORT OF THE SCHOOL OF HISTORICAL STUDIES ACADEMIC ACTIVITIES OF THE FACULTY MEMBERS, VISITORS AND RESEARCH STAFF 41 • REPORT OF THE SCHOOL OF MATHEMATICS ACADEMIC ACTIVITIES OF THE SCHOOL MEMBERS, VISITORS AND RESEARCH STAFF 51 REPORT OF THE SCHOOL OF NATURAL SCIENCES ACADEMIC ACTIVITIES OF THE FACULTY MEMBERS, VISITORS AND RESEARCH STAFF 58 • REPORT OF THE SCHOOL OF SOCIAL SCIENCE ACADEMIC ACTIVITIES OF THE SCHOOL AND ITS FACULTY MEMBERS, VISITORS AND RESEARCH STAFF 64 • REPORT OF THE INSTITUTE LIBRARIES 66 • RECORD OF INSTITUTE EVENTS IN THE ACADEMIC YEAR 1987 - 1988 86 • RECORD OF INSTITUTE EVENTS IN THE ACADEMIC YEAR 1988 - 1989 f:i'S^o FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION Foiifidcrs CAROLINE BAMBERGER FULD LOUIS BAMBERGER The Board of Trustees [1987-1989] MARELLA AGNELLI Turin, Italy [1988- ] THORNTON F. BRADSHAW New York, New York [deceased December 6, 1988] CHARLES L. BROWN Princeton, New Jersey FLETCHER L. BYROM Carefree, Arizona GLADYS K. DELMAS New York, New York [ -1988] MICHAEL V. FORRESTAL New York, New York [deceased January 11,1 989] MARVIN L. GOLDBERGER Director Institute for Advanced Study, Princeton, NewJersey VARTAN GREGORIAN President New York Public Library, New York, New York WILFRIED GUTH Chairman of the Supervisory Board Deutsche Bank AG, Frankfurt, Federal Republic of Germany RALPH E. -
Annual Report 2010
Annual report 2010 INSTITUT MITTAG-LEFLER – A NORDIC INSTITUT FOR RESEARCH IN MATHEMATICS Contents Research programs 2 Activity report 2010 3 Contributors 6 Programs Dynamical Systems and PDEs (spring) Scientific report 7 Participants 9 Preprints 11 Seminars 13 Quantum Information Theory (fall) Scientific report 20 Participants 24 Preprints 26 Seminars 28 Participants from the Nordic countries and Research in Peace (RIP) 30 Publications 31 The board of the Institute 33 Administrative information 34 Finances 36 Cover photo: Maryke Devos Photos in this report: Margareta Wiberg Roland, when nothing else is written. Institut Mittag-Leffler Auravägen 17 SE-182 60 Djursholm Sweden +46 8 622 05 60 www.mittag-leffler.se 27 May 2011 1 INSTITUT MITTAG-LEFLER – A NORDIC INSTITUT FOR RESEARCH IN MATHEMATICS Research programs Programs 2010 Dynamical Systems and PDEs, spring 2010 Quantum Information Theory, fall 2010 During 2010 the Institute hosted 161 visiting researchers, who together spent 210 man- months working at the Institute. The programs during the current 12-year period — past and future — are: Probability and Conformal Mappings, fall 2001 and spring 2002 Partial Differential Equations and Spectral Theory, fall 2002 Mathematical Control and Systems Theory, spring 2003 Noncommutative Geometry, fall 2003 and spring 2004 Queuing Theory and Teletraffic Theory, fall 2004 Algebraic Combinatorics, spring 2005 Wave Motion, fall 2005 Algebraic Topology, spring 2006 Moduli Spaces, fall 2006 and spring of 2007 Stochastic Partial Differential Equations, -
Hénon Maps and Related Dynamical Systems
ICM 2002 Vol. III 1–3 · · Non Uniformly Hyperbolic Dynamics: H´enon Maps and Related Dynamical Systems Michael Benedicks∗ Abstract In the 1960s and 1970s a large part of the theory of dynamical systems concerned the case of uniformly hyperbolic or Axiom A dynamical system and abstract ergodic theory of smooth dynamical systems. However since around 1980 an emphasize has been on concrete examples of one-dimensional dynamical systems with abundance of chaotic behavior (Collet &Eckmann and Jakobson). New proofs of Jakobson’s one-dimensional results were given by Benedicks and Carleson [5] and were considerably extended to apply to the case of H´enon maps by the same authors [6]. Since then there has been a considerable development of these techniques and the methods have been extended to the ergodic theory and also to other dynamical systems (work by Viana, Young, Benedicks and many others). In the cases when it applies one can now say that this theory is now almost as complete as the Axiom A theory. 2000 Mathematics Subject Classification: 37D45, 37D25, 37G35, 37H10, 60, 60F05. Keywords and Phrases: H´enon maps, Strange attractors, Ergodic theory. 1. Introduction arXiv:math/0304450v1 [math.DS] 28 Apr 2003 Dynamical systems as a discipline was born in Henri Poincar´e’s famous trea- tise of the three body problem. In retrospect arguably one can view as his most remarkable discovery of the homoclinic phenomenon. Stable and unstable mani- folds of a fixed point or periodic point may intersect at a homoclinic point thereby producing a very complicated dynamic behavior—what we now often call chaotic.