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What Is a Horseshoe?, Volume 52, Number 5
?WHAT IS... a Horseshoe? Michael Shub The Smale horseshoe is the hallmark of chaos. With n →∞; while if y lies on the vertical through p, then striking geometric and analytic clarity it robustly the inverse iterates of f squeeze it to p. With respect describes the homoclinic dynamics encountered to linear coordinates centered at p, f (x, y)=(kx, my) by Poincaré and studied by Birkhoff, Cartwright- where (x, y) ∈ B and 0 <k<1 <m. Similarly, Littlewood, and Levinson. We give the example first − − and the definitions later. f (x, y)=( kx, my) with respect to linear coordi- Consider the embedding f of the disc ∆ into nates on D at s. itself exhibited in the figure. It contracts the The sets semidiscs A, E to the semidiscs f (A), f (E) in A and s ={ n → →∞} it sends the rectangles B, D linearly to the rectan- W z : f (z) p as n , glesf (B), f (D), stretching them vertically and shrink- W u ={z : f n(z) → p as n →−∞} ing them horizontally. In the case of D, it also rotates by 180 degrees. We don’t really care what are the stable and unstable manifolds of p. They the image f (C) of C is as long as it does not intersect intersect at r , which is what Poincaré called a the rectangle B ∪ C ∪ D. In the figure it is placed so homoclinic point. The figure shows these invariant that the total image resembles a horseshoe, hence the manifolds only locally. Iteration extends them name. globally. -
Dniester Jews Between
PARALLEL RUPTURES: JEWS OF BESSARABIA AND TRANSNISTRIA BETWEEN ROMANIAN NATIONALISM AND SOVIET COMMUNISM, 1918-1940 BY DMITRY TARTAKOVSKY DISSERTATION Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in History in the Graduate College of the University of Illinois at Urbana-Champaign, 2009 Urbana, Illinois Doctoral Committee: Professor Mark D. Steinberg, Chair Professor Keith Hitchins Professor Diane P. Koenker Professor Harriet Murav Assistant Professor Eugene Avrutin Abstract ―Parallel Ruptures: Jews of Bessarabia and Transnistria between Romanian Nationalism and Soviet Communism, 1918-1940,‖ explores the political and social debates that took place in Jewish communities in Romanian-held Bessarabia and the Moldovan Autonomous Soviet Socialist Republic during the interwar era. Both had been part of the Russian Pale of Settlement until its dissolution in 1917; they were then divided by the Romanian Army‘s occupation of Bessarabia in 1918 with the establishment of a well-guarded border along the Dniester River between two newly-formed states, Greater Romania and the Soviet Union. At its core, the project focuses in comparative context on the traumatic and multi-faceted confrontation with these two modernizing states: exclusion, discrimination and growing violence in Bessarabia; destruction of religious tradition, agricultural resettlement, and socialist re-education and assimilation in Soviet Transnistria. It examines also the similarities in both states‘ striving to create model subjects usable by the homeland, as well as commonalities within Jewish responses on both sides of the border. Contacts between Jews on either side of the border remained significant after 1918 despite the efforts of both states to curb them, thereby necessitating a transnational view in order to examine Jewish political and social life in borderland regions. -
Board Committee Academic Policy Documents Cfsaagenda100918
BOARD OF TRUSTEES THE CITY UNIVERSITY OF NEW YORK BOARD COMMITTEE ON FACULTY, STAFF Agenda AND ADMINISTRATION October 9, 2018 I. ACTION ITEMS A. Approval of the Minutes of June 4, 2018 B. POLICYCALENDAR 1. Appointment of Vivian Louie, Professor of Urban Policy and Planning at Hunter College, with tenure pursuant to §6.2(b) of the Bylaws (I-B-1) 2. Appointment of Luisa Borrell as Distinguished Professor at the CUNY Graduate School of Public Health and Health Policy (I-B-2) 3. Appointment of Michael Shub as Distinguished Professor at City College (I-B- 3) 4. Appointment of Eric Lott as Distinguished Professor at the Graduate Center (I-B-4) 5. Appointment of Nari Ward as Distinguished Professor at Hunter College (I-B- 5) 6. Appointment of Steven Greenbaum as Distinguished Professor at Hunter College (I-B-6) 7. Appointment of Naresh Devineni at City College with Early Tenure pursuant to §6.2(d) of the Bylaws (I-B-7) II. INFORMATION ITEMS A. Chancellors University Report Review and Proposed Bylaws Amendments -- 1st reading B. Revised Naming Policy Guidelines C. Quarterly Diversity Report BOARD OF TRUSTEES THE CITY UNIVERSITY OF NEW YORK COMMITTEE ON MINUTES OF THE MEETING FACULTY, STAFF AND ADMINISTRATION JUNE 4, 2018 The meeting was called to order by Committee Chair Lorraine Cortés-Vázquez at 5:01 p.m. The following people were present: Committee Members: University Staff: Hon. Lorraine A. Cortés-Vázquez, Chair Interim Chancellor Vita C. Rabinowitz Hon. Ken Sunshine, Vice Chair Interim Vice Chancellor Margaret Egan Hon. Kevin Kim Vice Chancellor Brigette Bryant Hon. -
Beit Hatfutsot's My Family Story 2020 Beth Tfiloh Curator Statements Fur
Beit Hatfutsot's My Family Story 2020 Beth Tfiloh Curator Statements Fur Goes Far: Debra B. ‘24 This portrayal of my family’s story depicts the fur coat shop that my great-great-grandfather worked at through hardship and adversity. In August of 1904, my great-great grandfather left his family and two kids in Ukraine to escape the pogroms and other anti-Semitic acts which made it hard to live safely as a Jew there. He went and sailed on the S.S. Louis to Ellis Island and then came straight to Baltimore to look for a job. He found a job at a fur coat shop in downtown Baltimore and worked there for a while to save money to send back to his wife and two kids so they could come to Baltimore. I have recreated the fur shop using various materials and symbolism. For example, I put a small Israeli flag at my great-great-grandfather's desk to represent how he was openly Jewish in America and was proud of his religion. If the pogroms hadn’t attacked Ukraine and caused my great-great-grandfather to relocate, my family would have stayed in Ukraine, and a long line of Deitchs, Sugars, and Barrons would have never ended up in Baltimore. Fur goes far. I am surprisingly grateful things worked out the way they did, as I would not have met the people who inspire me, and I would have never found my home sweet home. The Empire Rival: Hannah B. ‘24 My Family Story display shows the ship that my great-grandparents, their two children, and my great-great-aunt and uncle were on. -
Newsletter from Moldova
· · T H E Ohio Slavic & OHIO East European · SfAlE UNIVERSITY Newsletter Volume 24, No. 4 May-June 1996 Columbus, Ohio Security and Change in the New Eastern Europe: The Perspective from Moldova By Mary Pendleton On Friday,April 12, 1996 Mary Pendle Pruth, the river separating Romania from later to Washington for Congressional ton, U.S. Ambassador to Mol the Moldovan Soviet Socialist Republic. hearings, confirmation, and swearing-in. fonner dova, delivered opening address to We could see guards and it looked just as In the meantime, I was sent to take char the conference •After Warsaw inhospitable as Romania was. Now, the ge of the embassy and, not incidentally, the the Paa: and New Cold War was over and we wondered to stay out of the line of fire. Security Cllange inthe. �m Europe.• foUowing a shortened together how life would be for her on the Shortly thereafter, on July The is 21 version of her other side. "Anything's better than Chisinau signed an agreement with remarks. 1992, Four years ago at the State Belgrade," she said. Yes, there were Moscow, a first step in a long series of De partment in early March 1992, I ran security problems In Moldova but nothing conflict resolution efforts. Since then, into a colleague with whom I had served on the order of those in former Yugos- Moldova has lived through a period often at the American Embassy In Bucharest. lavia. I wished my colleague a safe Ian- described as neither war nor peace but , I knew she was studying Serbo-Croatian ding and went about preparing for my which, in reality is much more peace than in preparation for her next assignment to next assignment which was supposed to war. -
The Fate of the Jews from Bukovina and Transnistria, 1940–44» Which Took Place on October 8, 2007 at the Yu
Ukrainian Center ISSN 1998-3883 for Holocaust Studies I. Kuras Institute of Political To the blessed memory and Ethnic Studies of the NAS of Ukraine of William Rozenzweig (1923–2008), native of Chernivtsy, Holocaust Survivor and active supporter of jewish studies and Holocaust research, whose generous contribution made this publication possible SCHolaRly joURnal HOLOCAUST 2 (8) AND MODERNITY 2010 STUDIES IN UKRAINE AND THE WORLD International Advisory board K.i.n. Ilya Altman (Moscow, Russia) Dr. Karel Berkhoff (Amsterdam, Netherlands) Dr. Kiril Feferman (Jerusalem, Israel) D.i.n. Oleksandr Lysenko (Kyiv, Ukraine) Dr. Dieter Pohl (Klagenfurt, Austria) Dr. Alexander Prusin (Socorro, New Mexico, USA) K.i.n. Evgeniy Rozenblat (Brest, Belarus) Dr. Anton Weiss-Wendt (Oslo, Norway) Editorial board The opinions of the authors D.p.n. Olena Ivanova (Kharkiv, Ukraine) do not necessarily refect K.i.n. Zhanna Kovba (Kyiv, Ukraine) those of the Editorial board Vitaly Nakhmanovich (Kyiv, Ukraine) K.i.n. Anatoly Podolsky (Kyiv, Ukraine) Reproduction of the articles Mikhail Tyaglyy, executive editor (Kyiv, Ukraine) is possible upon receipt of the written permission of the Editorial board ESTABLISHED IN JANUARy, 2004 © Ukrainian Center for JOURNAL IS PUBLISHED TWO TIMES A yEAR Holocaust Studies, 2010 Український центр ISSN 1998-3883 вивчення історії Голокосту Інститут політичних і етнонаціональних досліджень ім. І.Ф. Кураса НАН України Світлої пам’яті Вільяма Розенцвайга (1923–2008), який народився у Чернівцях, пережив Голокост та активно підтримував студії з юдаїки та вивчення Голокосту. Публікація цього числа відбулася завдяки його щедрій підтримці НаУкоВий ЧаСоПиС ГОЛОКОСТ 2 (8) І СУЧАСНІСТЬ 2010 СТУДІЇ В УКРАЇНІ І СВІТІ Міжнародна редакційна рада к.і.н. -
Board Committee Faculty Staff Documents B3 6
I-B-3 THE CITY UNIVERSITY OF NEW YORK Appointment of Michael Shub as Distinguished Professor at City College WHEREAS, Professor Michael Shub is an internationally recognized leader in dynamical systems and computational complexity; and WHEREAS, In addition to over 95 peer-reviewed journal articles, three authored or co-authored books and one edited book, 5 patents and over 100 invited addresses, Professor Shub was elected Fellow of the American Mathematical Society in 2016, Fellow of the Fields Institutes in 2010 and Fellow of the American Association for the Advancement of Science in 2000; now therefore be it RESOLVED, That the Board of Trustees of The City University of New York appoint Michael Shub as Distinguished Professor of Mathematics at City College effective November 1, 2018, with compensation of $28,594 per annum in addition to his regular academic salary, subject to financial ability. EXPLANATION: One of his reviewers notes that Professor Shub “has, over several decades, made invaluable research contributions on well-known hard problems. Moreover, he has played a seminal role in constructing bridges between two foundational scientific areas of great research interest, dynamical systems and computational complexity; and his creative works on these have been very influential both in pure mathematics and in theoretical computer science. They’re also valuable for the study of chaotic phenomena in current physics, with yet further applications.” Another notes that “Mike Shub is very creative and plays the role of pioneer. He has proposed questions and ideas which have opened important new directions and that have been developed by large groups of dynamicists. -
Michael Shub IBM Research Division Thomas J
RC22837 (W0307-028) July 2, 2003 Mathematics IBM Research Report Stable Ergodicity Charles Pugh University of California at Berkeley Berkeley, CA 94720 Michael Shub IBM Research Division Thomas J. Watson Research Center P.O. Box 218 Yorktown Heights, NY 10598 Research Division Almaden - Austin - Beijing - Delhi - Haifa - India - T. J. Watson - Tokyo - Zurich LIMITED DISTRIBUTION NOTICE: This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g. , payment of royalties). Copies may be requested from IBM T. J. Watson Research Center , P. O. Box 218, Yorktown Heights, NY 10598 USA (email: [email protected]). Some reports are available on the internet at http://domino.watson.ibm.com/library/CyberDig.nsf/home . STABLE ERGODICITY CHARLES PUGH AND MICHAEL SHUB June 30, 2003 1. Introduction A dynamical system is ergodic if it preserves a measure and each measurable invariant set is a zero set or the complement of a zero set. No measurable invariant set has intermediate measure. See also Section 6. The classic real world example of ergodicity is how gas particles mix. At time zero, chambers of oxygen and nitrogen are separated by a wall. When the wall is removed the gasses mix thoroughly as time tends to innity. -
(August 12-15, 1985)- Page 481
Laramie Meetings (August 12-15, 1985)- Page 481 Notices of the American Mathematical Society August 1985, Issue 242 Volume 32, Number 4, Pages 457- 568 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to the press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and supplementary announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meeting. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society. Abstracts must be accompanied by the $15 processing charge. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence. Rhode Island. on or before the deadline given below for the meeting. Note that the deadline for abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcements and the list of organizers of special sessions. -
Massey Announces Shift in Structure of NSF Grants Mathematics Goes
Volume 12, Number 2 THE NEWSLEITER OF THE MATHEMATICAL ASSOCIATION OF AMERICA April 1992 Massey Announces Shift in Mathematics Goes Public Structure of NSF Grants Barrett Gives Retiring Presidential Address Calls for Women to Change the Rules National Science Foundation (NSF) Director Walter Massey, in his address at the MAA's Seventy-Fifth Annual Meeting in Baltimore, "Mathematics makes its case-who we are" was a possible title for 8-11 January 1992, announced his intention to extend the average her lecture, declared Lida K. Barrett, at the start of her Retiring length and raise the average amount of NSF grants, indicating that Presidential Address to the MAA during the Association's Seventy three years should be the average duration of an NSF grant. Such Fifth Annual Meeting in Baltimore, 8-11 January 1992. "Mathemat a change would, Massey acknowledged, lead to fewer grants be ics goes public" was another, she suggested. ing awarded. The impact of such a shift will depend on how it is approached by the individual divisions of the Foundation. She began by observing that the mathematics community has been particularly diligent in assessing itself over the past decade or so, While it is unclear how the proposal would ultimately affect the math with nine major reports appearing since 1980 alone: ematics community, Massey noted its reliance on the NSF. Accord ing to a recent survey, almost ninety percent of all mathematicians • the two David Reports on mathematics research from the Na who received a PhD in the past seven years and are currently em tional Academy of Science (NAS), entitled Mathematics: A Crit ployed in an academic institution say they are engaged in research, ical Resource for the Future and Renewing US Mathematics: A and over forty percent of mathematics doctorates active in academic Plan for the 1990s; research report receiving federal support for their research. -
Recent Advances in Real Complexity and Computation
604 Recent Advances in Real Complexity and Computation UIMP-RSME Lluís A. Santaló Summer School Recent Advances in Real Complexity and Computation July 16–20, 2012 Universidad Internacional Menéndez Pelayo, Santander, Spain José Luis Montaña Luis M. Pardo Editors American Mathematical Society Real Sociedad Matemática Española American Mathematical Society Licensed to University Paul Sabatier. Prepared on Mon Dec 14 09:01:17 EST 2015for download from IP 130.120.37.54. License or copyright restrictions may apply to redistribution; see http://www.ams.org/publications/ebooks/terms Recent Advances in Real Complexity and Computation UIMP-RSME Lluís A. Santaló Summer School Recent Advances in Real Complexity and Computation July 16–20, 2012 Universidad Internacional Menéndez Pelayo, Santander, Spain José Luis Montaña Luis M. Pardo Editors Licensed to University Paul Sabatier. Prepared on Mon Dec 14 09:01:17 EST 2015for download from IP 130.120.37.54. License or copyright restrictions may apply to redistribution; see http://www.ams.org/publications/ebooks/terms Licensed to University Paul Sabatier. Prepared on Mon Dec 14 09:01:17 EST 2015for download from IP 130.120.37.54. License or copyright restrictions may apply to redistribution; see http://www.ams.org/publications/ebooks/terms 604 Recent Advances in Real Complexity and Computation UIMP-RSME Lluís A. Santaló Summer School Recent Advances in Real Complexity and Computation July 16–20, 2012 Universidad Internacional Menéndez Pelayo, Santander, Spain José Luis Montaña Luis M. Pardo Editors American Mathematical Society Real Sociedad Matemática Española American Mathematical Society Providence, Rhode Island Licensed to University Paul Sabatier. Prepared on Mon Dec 14 09:01:17 EST 2015for download from IP 130.120.37.54. -
Page 1 of 65 RST Bibliography from the RST
RST Bibliography from the RST web site (http://www.sfu.ca/rst) Last updated: August 22, 2017 Abelen, Eric, Gisela Redeker & Sandra A. Thompson. 1993. The rhetorical structure of US-American and Dutch fund-raising letters. Text 13(3). 323-350. Abrahamson, Jennie A. & Victoria Rubin. 2012. Discourse structure differences in lay and professional health communication. Journal of Documentation 68(6). 826-851. Abrahamson, Jennie A. & Victoria Rubin. 2015. Differences over discourse structure differences: A reply to Urquhart and Urquhart. Journal of Documentation 71(2). Afantenos, Stergos D. 2007. Some reflections on the task of content determination in the context of multi-document summarization of evolving events. In Galia Angelova, Kalina Bontcheva, Ruslan Mitkov, Nicolas Nicolov & Nikolai Nikolov (eds.), Recent Advances in Natural Language Processing (RANLP 2007) (pp. 12-16). Borovets, Bulgaria: INCOMA. Afantenos, Stergos D & Nicholas Asher. 2014. Counter-argumentation and discourse: A case study. Proceedings of the Workshop on Frontiers and Connections between Argumentation Theory and Natural Language Processing. Forlì-Cesena, Italy. Afantenos, Stergos D., Pascal Denis, Philippe Muller & Laurence Danlos. 2010, 3578-3584. Learning recursive segments for discourse parsing. International Conference on Language Resources and Evaluation (LREC). Malta. Afantenos, Stergos D., Irene Doura, Eleni Kapellou & Vangelis Karkaletsis. 2004. Exploiting cross-document relations for multi-document evolving summarization. In G. A Vouros & T. Panayiotopoulos (eds.), Methods and Applications of Artificial Intelligence, Proceedings of 3rd Hellenic Conference on AI, SETN 2004 (pp. 410-419). Berlin: Springer. Afantenos, Stergos D. & Nicolas Hernandez. 2009. What's in a message? Proceedings of the EACL 2009 Workshop on Cognitive Aspects of Computational Language Acquisition.