DOCSLIB.ORG

Contemporary Mathematics 122

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Contemporary Mathematics 122 CONTEMPORARY MATHEMATICS 122 Inverse Scattering and Applications http://dx.doi.org/10.1090/conm/122 Contemporary Mathematics Standing orders are accepted for Contemporary Mathematics as well as other book series published by the American Mathematical Society. If you are interested in receiving purchasing information on each new volume in the Contemporary Mathematics senes as it is published, please write or call the American Mathematical Society. Customer Services American Mathematical Society Post Office Box 6248 Providence, Rhode Island 02940-6248 1-800-321-4AMS (321-4267) Titles in This Series Volume 1 Markov random fields and their 13 Algebraists' homage: Papers in applications, Ross Kindermann and ring theory and related topics, J. Laurie Snell S. A. Amitsur, D. J. Saltman, and 2 Proceedings of the conference on G. B. Seligman, Editors integration, topology, and geometry in 14 Lectures on Nielsen fixed point theory, linear spaces, William H. Graves, Editor Boju Jiang 3 The closed graph and P-closed 15 Advanced analytic number theory. graph properties in general topology, Part 1: Ramification theoretic methods, T. R. Hamlett and L. L. Herrington Carlos J. Moreno 4 Problems of elastic stability and 16 Complex representations of GL(2, K) for vibrations, Vadim Komkov, Editor finite fields K, llya Piatetski-Shapiro 5 Rational constructions of modules 17 Nonlinear partial differential equations, for simple Lie algebras, George B. Joel A. Smaller, Editor Seligman 18 Fixed points and nonexpansive 6 Umbral calculus and Hopf algebras, mappings, Robert C. Sine, Editor Robert Morris, Editor 19 Proceedings of the Northwestern 7 Complex contour integral homotopy theory conference, Haynes representation of cardinal spline R. Miller and Stewart B. Priddy, Editors functions, Walter Schempp 20 Low dimensional topology, Samuel J. 8 Ordered fields and real algebraic Lomonaco, Jr., Editor geometry, D. W. Dubois and T. Recio, Editors 21 Topological methods in nonlinear functional analysis, S. P. Singh, 9 Papers in algebra, analysis and S. Thomaier, and B. Watson, Editors statistics, R. Lidl, Editor 22 Factorizations of b" ± 1, b = 2, 10 Operator algebras and K-theory, 3, 5, 6, 7, 10, 11,12 up to high Ronald G. Douglas and Claude powers, John Brillhart, D. H. Lehmer, Schochet, Editors J. L. Selfridge, Bryant Tuckerman, and 11 Plane ellipticity and related problems, S. S. Wagstaff, Jr. Robert P. Gilbert, Editor 23 Chapter 9 of Ramanujan's second 12 Symposium on algebraic topology in notebook-Infinite series identities, honor of Jose Adem, Samuel Gitler, transformations, and evaluations, Editor Bruce C. Berndt and Padmini T. Joshi Titles in This Series Volume 24 Central extensions, Galois groups, and 43 Group actions on rings, Susan ideal class groups of number fields, Montgomery, Editor A. Frohlich 44 Combinatorial methods in topology and 25 Value distribution theory and its algebraic geometry, John R. Harper applications, Chung-Chun Yang, Editor and Richard Mandelbaum, Editors 26 Conference in modern analysis 45 Finite groups-coming of age, John and probability, Richard Beals, McKay, Editor Anatole Beck, Alexandra Bellow, and Arshag Hajian, Editors 46 Structure of the standard mfdules 1 for the affine Lie algebra A1 >, Microlocal analysis, M. Salah Baouendi, 27 James Lepowsky and Mirko Prime Richard Beals, and Linda Preiss Rothschild, Editors 47 Linear algebra and its role in systems theory, Richard A. Brualdi, 28 Fluids and plasmas: geometry and David H. Carlson, Biswa Nath Datta, dynamics, Jerrold E. Marsden, Editor Charles R. Johnson, and Robert J. 29 Automated theorem proving, W. W. Plemmons, Editors Bledsoe and Donald Loveland, Editors 48 Analytic functions of one complex Mathematical applications of category 30 variable, Chung-chun Yang and theory, J. W. Gray, Editor Chi-tai Chuang, Editors 31 Axiomatic set theory, James E. Complex differential geometry and Baumgartner, Donald A. Martin, and 49 nonlinear differential equations, Saharan Shelah, Editors Yum-Tong Siu, Editor 32 Proceedings of the conference on Banach algebras and several complex 50 Random matrices and their variables, F. Greenleaf and D. Gulick, applications, Joel E. Cohen, Editors Harry Kesten, and Charles M. Newman, Editors 33 Contributions to group theory, Kenneth I. Appel, John G. Ratcliffe, and 51 Nonlinear problems in geometry, Paul E. Schupp, Editors Dennis M. DeTurck, Editor 34 Combinatorics and algebra, Curtis 52 Geometry of normed linear spaces, Greene, Editor R. G. Bartle, N. T. Peck, A. L. Peressini, 35 Four-manifold theory, Cameron Gordon and J. J. Uhl, Editors and Robion Kirby, Editors 53 The Selberg trace formula and related 36 Group actions on manifolds, Reinhard topics, Dennis A. Hejhal, Peter Sarnak, Schultz, Editor and Audrey Anne Terras, Editors 37 Conference on algebraic topology in 54 Differential analysis and infinite honor of Peter Hilton, Renzo Piccinini dimensional spaces, Kondagunta and Denis Sjerve, Editors Sundaresan and Srinivasa Swaminathan, 38 Topics in complex analysis, Dorothy Editors Browne Shaffer, Editor 55 Applications of algebraic K-theory to 39 Errett Bishop: Reflections on him and algebraic geometry and number theory, his research, Murray Rosenblatt, Editor Spencer J. Bloch, R. Keith Dennis, Eric 40 Integral bases for affine Lie algebras M. Friedlander, and Michael R. Stein, and their universal enveloping algebras, Editors David Mitzman 56 Multiparameter bifurcation theory, 41 Particle systems, random media and Martin Golubitsky and large deviations, Richard Durrett, Editor John Guckenheimer, Ed!tors 42 Classical real analysis, Daniel 57 Combinatorics and ordered sets, Waterman, Editor Ivan Rival, Editor Titles in This Series Volume 58.1 The Lefschetz centennial conference. 74 Geometry of group representations, Proceedings on algebraic geometry, William M. Goldman and Andy R. Magid, D. Sundararaman, Editor Editors 58.11 The Lefschetz centennial conference. 75 The finite calculus associated with Proceedings on algebraic topology, Bessel functions, Frank M. Cholewinski S. Gitler, Editor 76 The structure of finite algebras, 58.111 The Lefschetz centennial conference. David C. Hobby and Ralph Mckenzie Proceedings on differential equations, 77 Number theory and its applications in A. Verjovsky, Editor China, Wang Yuan, Yang Chung-chun, and Pan Chengbiao, Editors 59 Function estimates, J. S. Marron, Editor 78 Braids, Joan S. Birman and Anatoly Nonstrictly hyperbolic conservation 60 Libgober, Editors laws, Barbara Lee Keyfitz and Herbert C. Kranzer, Editors 79 Regular differential forms, Ernst Kunz and Rolf Waldi 61 Residues and traces of differential 80 Statistical inference from stochastic forms via Hochschild homology, processes, N. U. Prabhu, Editor Joseph Lipman 81 Hamiltonian dynamical systems, 62 Operator algebras and mathematical Kenneth R. Meyer and Donald G. Saari, physics, Palle E. T. Jorgensen and Editors Paul S. Muhly, Editors 82 Classical groups and related topics, 63 Integral geometry, Robert L. Bryant, Alexander J. Hahn, Donald G. James, Victor Guillemin, Sigurdur Helgason, and and Zhe-xian Wan, Editors R. Wells, Jr., Editors 0. 83 Algebraic K-theory and algebraic 64 The legacy of Sonya Kovalevskaya, number theory, Michael R. Stein and Linda Keen, Editor R. Keith Dennis, Editors 65 Logic and combinatorics, Stephen G. 84 Partition problems in topology, Simpson, Editor Stevo Todorcevic 66 Free group rings, Narian Gupta 85 Banach space theory, Bor-Luh Lin, Editor 67 Current trends in arithmetical algebraic geometry, Kenneth A. Ribet, Editor 86 Representation theory and number theory in connection with the local 68 Differential geometry: The interface Langlands conjecture, J. Ritter, Editor between pure and applied mathematics, 87 Abelian group theory, Laszlo Fuchs, Mladen Luksic, Clyde Martin, and Rudiger Gobel, and Phillip Schultz, William Shadwick, Editors Editors 69 Methods and applications of 88 Invariant theory, R. Fossum, mathematical logic, Walter A. Carnielli W. Haboush, M. Hochster, and and Luiz Paulo de Alcantara, Editors V. Lakshmibai, Editors 70 Index theory of elliptic operators, 89 Graphs and algorithms, R. Bruce foliations, and operator algebras, Richter, Editor Jerome Kaminker, Kenneth C. Millett, 90 Singularities, Richard Randell, Editor and Claude Schochet, Editors 91 Commutative harmonic analysis, 71 Mathematics and general relativity, David Colella, Editor James A. Isenberg, Editor 92 Categories in computer science and 72 Fixed point theory and its applications, logic, John W. Gray and Andre Scedrov, R. F. Brown, Editor Editors 73 Geometry of random motion, Rick 93 Representation theory, group rings, and Durrett and Mark A. Pinsky, Editors coding theory, M. Isaacs, A. Lichtman, Titles in This Series Volume D. Passman, S. Sehgal, N.J. A. Sloane, 111 Finite geometries and combinatorial and H. Zassenhaus, Editors designs, Earl S. Kramer and Spyros S. 94 Measure and measurable dynamics, Magliveras, Editors R. Daniel Mauldin, R. M. Shortt, and 112 Statistical analysis of measurement Cesar E. Silva, Editors error models and applications, 95 Infinite algebraic extensions of finite Philip J. Brown and Wayne A. Fuller, fields, Joel V. Brawley and George E. Editors Schnibben 1131ntegral geometry and tomography, 96 Algebraic topology, Mark Mahowald Eric Grinberg and Eric Todd Quinto, and Stewart Priddy, Editors Editors 97 Dynamics and control of multibody 114 Mathematical developments arising systems, J. E. Marsden, P. S. from linear programming, Jeffrey C. Krishnaprasad, and J. C. Sima, Editors Lagarias and Michael
Load more

Recommended publications
  • CONTEMPORARY MATHEMATICS 458 Integrable Systems and Random Matrices in Honor of Percy Deift
    CONTEMPORARY MATHEMATICS 458 Integrable Systems and Random Matrices In Honor of Percy Deift Conference on Integrable Systems, Random Matrices, and Applications in Honor of Percy Deift' s 60th Birthday May 22-26, 2006 Courant Institute of Mathematical Sciences New York University, New York Jinho Baik Thomas Kriecherbauer Luen-Chau Li Kenneth D. T-R Mclaughlin Carlos Tomei Editors http://dx.doi.org/10.1090/conm/458 Integrable Systems and Random Matrices In honor of Percy Deift CoNTEMPORARY MATHEMATICS 458 Integrable Systems and Random Matrices In honor of Percy Deift Conference on Integrable Systems, Random Matrices, and Applications in Honor of Percy Deift' s 60th Birthday May 22-26,2006 Courant Institute of Mathematical Sciences New York University, New York Jinho Baik Thomas Kriecherbauer Luen-Chau Li Kenneth D. T-R Mclaughlin Carlos Tomei Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeThrck, managing editor George Andrews Abel Klein 2000 Mathematics Subject Classification. Primary 15A52, 35Q15, 35Q55, 35Q58, 37K15, 37K40, 42C05, 60K35, 60G60. Library of Congress Cataloging-in-Publication Data Integrable systems and random matrices : In honor of Percy Deift, a conference on integrable systems, random matrices, and applications in honor of Percy Deift's 60th birthday, May 22-26, 2006 / Jinho Baik ... [eta!.]. p. em. -(Contemporary mathematics, ISSN 0271-4132; v. 458) Includes bibliographical references. ISBN 978-0-8218-4240-9 (alk. paper) 1. Hamiltonian systems-Congresses. 2. Random matrices-Congresses. I. Baik, Jinho, 1973- 11. Deift, Percy, 1945- QA614 .83I662 2008 5151.39--dc22 2008007009 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given.
    [Show full text]
  • A Festschrift in Honor of Barry Simon's 60Th Birthday Quantum Field Theory, Statistical Mechanics, and Nonrelatmstic Quantum Systems
    http://dx.doi.org/10.1090/pspum/076.1 Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday Quantum Field Theory, Statistical Mechanics, and NonrelatMstic Quantum Systems Proceedings of Symposia in PURE MATHEMATICS Volume 76, Part 1 Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday Quantum Field Theory, Statistical Mechanics, and NonrelatMstic Quantum Systems A Conference on Spectral Theory and Mathematical Physics in Honor of Barry Simon's 60th Birthday March 27-31, 2006 California Institute of Technology Pasadena, California Fritz Gesztesy (Managing Editor) Percy Deift Cherie Galvez Peter Perry Wilhelm Schlag Editors 2000 Mathematics Subject Classification. Primary 35J10, 35P05, 47A55, 47A75, 47D08, 81Q15, 81T10, 81Uxx, 82B05, 82B10. Library of Congress Cataloging-in-Publication Data Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birth• day : Quantum field theory, statistical mechanics, and nonrelativistic quantum systems / Fritz Gesztesy ... [et ah], editors. p. cm. — (Proceedings of symposia in pure mathematics ; v. 76, pt. 1) Includes bibliographical references. ISBN-13: 978-0-8218-4248-5 (alk. paper) (Part 1) ISBN-13: 978-0-8218-3783-2 (alk. paper) (Set) 1. Spectral theory (Mathematics)—Congresses. I. Simon, Barry, 1946- II. Gesztesy, Fritz, 1953- QC20.7.S646S64 2006 515/.7222—dc22 2006047073 Copying and reprinting. Material in this book may be reproduced by any means for edu• cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg• ment of the source is given.
    [Show full text]
  • 82Nd Josiah Willard Gibbs Lecture Monday, January 5, 2009 8:30 PM
    82nd Josiah Willard Gibbs Lecture Monday, January 5, 2009 8:30 PM JOSIAH WILLARD GIBBS 1839–1903 Photograph by Pictorial Mathematics Scripta Mathematica Yeshiva College, New York, 1942 American Mathematical Society Josiah Willard Gibbs Lecture Monday, January 5, 2009 8:30 PM Marriott Ballrooms 1 & 2 Marriott Wardman Park Washington, DC Integrable Systems: A Modern View Percy Deift Courant Institute of Mathematical Sciences New York University To commemorate the name of Professor Gibbs, the American Mathematical Society established an honorary lectureship in 1923 to be known as the Josiah Willard Gibbs Lectureship. The lectures are of a semipopular nature and are given by invitation. They are usually devoted to mathematics or its applications. It is hoped that these lectures will enable the public and the academic community to become aware of the contribu- tion that mathematics is making to present-day thinking and to modern civilization. Abstract The modern theory of integrable systems began with the solution of the Korteweg-de Vries equation by Gardner, Greene, Kruskal, and Miura in 1967. This led to the development of a variety of new mathematical tech- niques. Over time, and quite unexpectedly, these techniques have found applications in areas far beyond their dynamical origins. The applications include problems in algebraic geometry, numerical analysis, analytic num- ber theory, combinatorics and random matrix theory, among many others. In the lecture, the speaker will present some of these techniques and de- scribe some of their applications. 2 Percy Deift Percy Deift is a Professor of Mathematics at the Courant Institute, NYU. He obtained a master’s degree in chemical engineering from the University of Natal, Durban, South Africa, in 1970 and a master’s degree in physics from Rhodes University, Grahamstown, South Africa, in 1971.
    [Show full text]
  • Combinatorics and Random Matrix Theory
    GRADUATE STUDIES IN MATHEMATICS 172 Combinatorics and Random Matrix Theory Jinho Baik Percy Deift 8SY½G7YMHER American Mathematical Society Combinatorics and Random Matrix Theory https://doi.org/10.1090//gsm/172 GRADUATE STUDIES IN MATHEMATICS 172 Combinatorics and Random Matrix Theory Jinho Baik Percy Deift To Y½c 7Yidan %merican MathematicaP 7ociety Providence, Rhode Island EDITORIAL COMMITTEE Dan Abramovich Daniel S. Freed Rafe Mazzeo (Chair) Gigliola Staffilani 2010 Mathematics Subject Classification. Primary 05A15, 15B52, 33E17, 35Q15, 41A60, 47B35, 52C20, 60B20, 60K35, 82C23. For additional information and updates on this book, visit www.ams.org/bookpages/gsm-172 Library of Congress Cataloging-in-Publication Data Names: Baik, Jinho, 1973- | Deift, Percy, 1945- | Suidan, Toufic Mubadda, 1975- Title: Combinatorics and random matrix theory / Jinho Baik, Percy Deift, Toufic Suidan. Description: Providence, Rhode Island : American Mathematical Society, 2016. | Series: Graduate studies in mathematics ; volume 172 | Includes bibliographical references and index. Identifiers: LCCN 2015051274 | ISBN 9780821848418 (alk. paper) Subjects: LCSH: Random matrices. | Combinatorial analysis. | AMS: Combinatorics – Enumera- tive combinatorics – Exact enumeration problems, generating functions. msc | Linear and mul- tilinear algebra: matrix theory – Special matrices – Random matrices. msc | Special functions (33-XX deals with the properties of functions as functions) – Other special functions – Painlev´e- type functions. msc | Partial differential equations
    [Show full text]
  • Arxiv:2011.12335V2 [Math-Ph] 5 May 2021 References 155
    TWELVE TALES IN MATHEMATICAL PHYSICS: AN EXPANDED HEINEMAN PRIZE LECTURE BARRY SIMON1;2 Abstract. This is an extended version of my 2018 Heineman prize lecture describing the work for which I got the prize. The citation is very broad, so this describes virtually all my work prior to 1995 and some afterwards. It discusses work in non-relativistic quantum mechanics, constructive quantum field theory and statis- tical mechanics. Contents 0. Introduction 2 1. Summability of Divergent Eigenvalue Perturbation Series 2 2. Complex Scaling Theory of Resonances 12 3. Statistical Mechanical Methods in EQFT 19 4. Thomas{Fermi Theory 25 5. Infrared Bounds and Continuous Symmetry Breaking 32 6. N{Body quantum mechanics 45 7. Magnetic Fields in NRQM 80 8. Quasi-classical and Non{quasi-classical limits 86 9. Almost Periodic and Ergodic Schr¨odinger Operators 103 10. Topological Methods in Condensed Matter Physics 122 11. Anderson Localization: The Simon-Wolff Criterion 133 12. Generic Singular Continuous Spectrum 144 13. Further Remarks 152 arXiv:2011.12335v2 [math-ph] 5 May 2021 References 155 Date: May 7, 2021. 2010 Mathematics Subject Classification. Primary: 81Q10, 81T08, 82B24; Sec- ondary: 47A55, 81Q15, 81Q20, 81Q70, 81T25, 81U24. Key words and phrases. Simon, Schr¨odingeroperators, quantum mechanics, quantum field theory, statistical mechanics. 1 Departments of Mathematics and Physics, Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125. E-mail: [email protected]. 2 Research supported in part by NSF grants DMS-1265592 and DMS-1665526 and in part by Israeli BSF Grant No. 2014337. 1 2 B. SIMON 0. Introduction The citation for my 2018 Dannie Heineman prize for Mathematical Physics reads: for his fundamental contributions to the mathematical physics of quantum mechanics, quantum field theory, and statistical mechanics, including spectral theory, phase transitions, and geometric phases, and his many books and monographs that have deeply influenced generations of researchers.
    [Show full text]
  • Mathematics People
    NEWS Mathematics People equations, quadratic forms and elliptic curves. His work Munshi Awarded ICTP-IMU also makes clear that he is far from done, and that we Ramanujan Prize should expect to see many more interesting results from him in the future.” Ritabrata Munshi of the Indian Munshi received his PhD from Princeton University in Statistical Institute and the Tata In- 2006 under the direction of Andrew Wiles. His honors in- stitute of Fundamental Research has clude the 2015 Shanti Swarup Bhatnagar Prize for Science been awarded the 2018 Ramanujan and Technology in mathematical sciences and the 2017 Prize for Young Mathematicians Infosys Prize in Mathematical Sciences. from Developing Countries for his The Ramanujan Prize is awarded annually to a young outstanding work in number theory. researcher from a developing country. The prize carries The prize is awarded by the Abdus a cash award of US$15,000, and the recipient is invited to Salam International Centre for Theo- deliver a lecture at ICTP. retical Physics (ICTP), the Interna- Ritabrata Munshi tional Mathematical Union (IMU), —From an ICTP announcement and the Department of Science and Technology of the Government of India. The prize citation reads: “Ritabrata Munshi has made profound contributions to analytic number theory, in par- Sisto Receives 2018 Duszenko ticular to the study of analytic properties of L-functions and automorphic forms. L-functions were defined in Award great generality by Robert Langlands, and while much is Alessandro Sisto of ETH Zürich known about them from the representation theoretic and has been named the recipient of the arithmetic geometry points of view, their deeper analytic 2018 Duszenko Award for his sig- properties are largely unknown.
    [Show full text]
  • Spectral Theory and Mathematical Physics
    http://dx.doi.org/10.1090/pspum/076.2 Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday Ergodic Schrodinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory Proceedings of Symposia in PURE MATHEMATICS Volume 76, Part 2 Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday Ergodic Schrodinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory A Conference on Spectral Theory and Mathematical Physics in Honor of Barry Simon's 60th Birthday March 27-31, 2006 California Institute of Technology Pasadena, California Fritz Gesztesy (Managing Editor) Percy Deift Cherie Galvez Peter Perry Wilhelm Schlag Editors ^(fl^^fm American Mathematical Society IVflf1f1f|S//l Providence, Rhode Island 2000 Mathematics Subject Classification. Primary 34A55, 34F05, 34L05, 34L40, 37H15, 42C05, 47A10, 47B36, 60H25, 81Q10. Library of Congress Cataloging-in-Publication Data Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday : Ergodic Schrodinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory / Fritz Gesztesy... [et al.], editors. p. cm. — (Proceedings of symposia in pure mathematics ; v. 76, pt. 2) Includes bibliographical references. ISBN-13: 978-0-8218-4249-2 (alk. paper) (Part 2) ISBN-13: 978-0-8218-3783-2 (alk. paper) (Set) 1. Spectral theory (Mathematics)—Congresses. I. Simon, Barry, 1946— II. Gesztesy, Fritz, 1953- QC20.7.S646S64 2006 515/.7222—dc22 2006047073 Copying and reprinting. Material in this book may be reproduced by any means for edu• cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg• ment of the source is given.
    [Show full text]
  • The Toda Rarefaction Problem
    The Toda Rarefaction Problem PERCY DEIFT Courant Institute SPYRIDON KAMVISSIS Universite' de Paris XI11 Ecole Normale Superieure THOMAS KRIECHERBAUER Universitat Augsburg AND XIN ZHOU Duke University Abstract In the Toda shock problem (see [7], (111, [S], and also 131) one considers a driving particle moving with a fixed velocity 2a and impinging on a one-dimensional semi-infinite lattice of particles, initially equally spaced and at rest, and interacting with exponential forces. In this paper we consider the related Toda rarefaction problem in which the driving particle now moves away from the lattice at fixed speed, in analogy with a piston being withdrawn, as it were, from a container filled with gas. We make use of the Riemann-Hilbert factorization formulation of the related inverse scattering problem. In the case where the speed 21al of the driving particle is sufficiently large (la1 > l), we show that the particle escapes from the lattice, which then executes a free motion of the type studied, for example, in [5]. In other words, in analogy with a piston being withdrawn too rapidly from a container filled with gas, cavitation develops. 0 1996 John Wiley & Sons, Inc. 1. Introduction The Toda rarefaction problem concerns the long-time behavior of the solution of the following initial-boundary-value problem, where xu(?)is prescribed by xdt) = 2at, for all t, xA0) = 0, for n 2 1, yJ0) = 0, for n 2 1, and the constant a < 0. Communications on Pure and Applied Mathematics, Vol. XLIX, 3543 (1996) 0 1996 John Wiley & Sons, Inc. CCC 001 0-3640/96/01003549 36 P.
    [Show full text]
  • Acknowledgements List of Sponsors
    Acknowledgements The ICM 2006 is held under the auspices of the International Mathematical Union and the sponsorship of the following public and academic bodies and private companies and foundations. List of Sponsors Public Bodies Ministerio de Educaci´ony Ciencia Ministerio de Asuntos Exteriores y de Cooperaci´on Agencia Espa˜nolade Cooperaci´onInternacional Ministerio de Cultura Biblioteca Nacional Direcci´onGeneral de Comunicaci´ony Cooperaci´onCultural Sociedad Estatal de Conmemoraciones Culturales Comunidad de Madrid Consejer´ıade Educaci´on Instituto Madrile˜node Desarrollo Ayuntamiento de Madrid Madrid-Convention Bureau Concejal´ıa de las Artes Centro Cultural Conde Duque Consejo Superior de Investigaciones Cient´ıficas Correos Fundaci´onCarolina Fundaci´onEspa˜nola para la Ciencia y la Tecnolog´ıa Academic Bodies Universidad Aut´onomade Madrid Universitat de Barcelona Universitat Aut`onoma de Barcelona Universidad de Castilla-La Mancha Universidad Complutense de Madrid Universidad Nacional de Educaci´ona Distancia Universidad de Sevilla Association for Women in Mathematics Canadian Mathematical Society Real Sociedad Matem´atica Espa˜nola Royal Dutch Mathematical Society Sociedad de Estad´ıstica e Investigaci´onOperativa Sociedad Espa˜nolade Matem´atica Aplicada Societat Catalana de Matem`atiques Soci´et´eMath´ematique de France Irish Mathematical Society Mathematical Society of Japan National Council of Teachers of Mathematics, USA Sociedad Espa˜nolade Investigaci´onen Educaci´onMatem´atica Federaci´onEspa˜nola de Sociedades de Profesores de Matem´aticas Sociedad Espa˜nolade Historia de las Ciencias y de las T´ecnicas Private Companies and Foundations Enterasys Fundaci´onPedro Barri´ede la Maza Fundaci´onRam´onAreces Fundaci´onVodafone Grupo SM, Editorial SM ONCE Springer The King Juan Carlos I of Spain Center of N.
    [Show full text]
  • IAMP News Bulletin October 2018
    IAMP News Bulletin October 2018 International Association of Mathematical Physics Contents International Association of Mathematical Physics News Bulletin, October 2018 Contents Prizes from the IAMP3 In Noether’s Words: Invariant Variational Problems5 Noether’s landmark paper one hundred years later 10 Noether’s Cosmology 28 Treasurer’s report 48 News from the IAMP Executive Committee 52 Contact Coordinates for this Issue 55 Bulletin Editor Editorial Board Evans Harrell Rafael Benguria, Virginie Bonnaillie-Noel,¨ Yasuyuki Kawahigashi, Manfred Salmhofer, Robert Sims Contacts. http://www.iamp.org and e-mail: [email protected] Cover picture: One Hundred Years of Noether’s Theorem The views expressed in this IAMP News Bulletin are those of the authors and do not necessarily represent those of the IAMP Executive Committee, Editor or Editorial Board. Any complete or partial performance or reproduction made without the consent of the author or of his successors in title or assigns shall be unlawful. All reproduction rights are henceforth reserved, and mention of the IAMP News Bulletin is Mobligatory in the reference. (Art.L.122-4 of the Code of Intellectual Property). Φ ISSN 2304-7348 News Bulletin (International Association of Mathematical Physics) 2 ∩IAMP News Bulletin, October 2018 Prizes from the IAMP Prizes from the IAMP On July 23, at the 2018 International Congress in Montreal, Canada, the International Associ- ation of Mathematical Physics (IAMP) awarded the 2018 Henri Poincare´ Prizes for mathemat- ical physics to Michael Aizenman, Princeton
    [Show full text]
  • 1 Elliptic Partial Differential Equations Second Edition
    COURANT 1 QING HAN LECTURE FANGHUA LIN NOTES Elliptic Partial Differential Equations Second Edition American Mathematical Society Courant Institute of Mathematical Sciences Elliptic Partial Differential Equations Second Edition http://dx.doi.org/10.1090/cln/001 Qing Han University of Notre Dame Fanghua Lin Courant Institute of Mathematical Sciences 1 Elliptic Partial Differential Equations Second Edition Courant Institute of Mathematical Sciences New York University New York, New York American Mathematical Society Providence, Rhode Island 2000 Mathematics Subject Classification. Primary 35–01, 35Jxx. For additional information and updates on this book, visit www.ams.org/bookpages/cln-1 Library of Congress Cataloging-in-Publication Data Han, Qing. Elliptic partial differential equations / Qing Han, Fanghua Lin. — 2nd ed. p. cm. — (Courant lecture notes ; v. 1) Includes bibliographical references. ISBN 978-0-8218-5313-9 (alk. paper) 1. Differential equations, Elliptic. I. Lin, Fanghua. II. Title. QA377.H3182 2011 515.3533—dc22 2010051489 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by e-mail to [email protected].
    [Show full text]
  • Optimal Tail Estimates for Directed Last Passage Site Percolation with Geometric Random Variables
    © 2001 International Press Adv. Theor. Math. Phys. 5 (2001) 1207-1250 Optimal tail estimates for directed last passage site percolation with geometric random variables Jinho Baik, Percy Deift, Ken T-R McLaughlin, Peter Miller, and Xin Zhou Deparment of Mathematics, Princeton University, Princeton, NJ 08544, USA Institute for Advanced Study, Princeton, NJ 08540, USA [email protected] Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA deift @ cims. ny u. edu Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, USA [email protected] Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA [email protected] Department of Mathematics, Duke University, Durham, NC 27708, USA [email protected] Abstract e-print archive: http://xxx.lanl.gov/math.PR/0112162 1208 BAIK, DEIFT, MCLAUGHLIN, MILLER, AND ZHOU In this paper, we obtain optimal uniform lower tail estimates for the prob- ability distribution of the properly scaled length of the longest up/right path of the last passage site percolation model considered by Johansson in [12]. The estimates are used to prove a lower tail moderate deviation result for the model. The estimates also imply the convergence of moments, and also provide a verification of the universal scaling law relating the longitudinal and the transversal fluctuations of the model. 1 Introduction In [12], Johansson considered directed last passage site percolation on Z^_ = {(m, n) : m,n G N} with geometric random variables. More precisely, for (i,j) € Z+, let w(i,j) be independent, identically distributed geometric random variables with lP(t«(t,j) = fe) = (l-*2)(*2)*, fc = 0,l,2,---, (1.1) and 0 < t < 1.
    [Show full text]