Proceedings of the International Congress of Mathematicians 1998
Volume III
Editors
Ulf Rehmann
Universität Bielefeld, GermanyGerd Fischer
Heinrich-Heine-Universität Düsseldorf, Germany
The Proceedings of the International Congress of Mathematicians 1998, held in Berlin, are published – electronically and in print – in three volumes. Volume I contains information on the organization of the Congress including the list of participants, reports on the opening and closing ceremonies, the Laudationes on the Fields Medalists and the Nevanlinna Prize Winner, and the Plenary Lectures. Volumes II and III contain the Invited Lectures.
pp. 11–19 Vortices in Ginzburg-Landau equationsFabrice Bethuel
pp. 21–30 Phenomena of compensation and estimates for partial differential equationsFrédéric Hélein
pp. 31–38 Viscosity solutions of elliptic partial differential equationsRobert R. Jensen
pp. 39–48 Minimal regularity solutions of nonlinear wave equationsHans Lindblad
pp. 49–55 Fourier analysis of null forms and nonlinear wave equationsM. Machedon
pp. 57–66 Blow-up phenomena for critical nonlinear Schrödinger and Zakharov equationsFrank Merle
pp. 67–76 On nonlinear dispersive equationsGustavo Ponce
pp. 77–86 Inverse boundary value problems for partial differential equationsGunther Uhlmann
pp. 87–96 Scattering theory: Some old and new problemsD. Yafaev
pp. 99–108 Spectral statisticsEugène Bogomolny
pp. 109–112 Scaling algebras in local relativistic quantum physicsDetlev Buchholz
pp. 113–122 Finite-size scaling in percolationJ.T. Chayes
pp. 123–132 Extended dynamical systemsP. Collet
pp. 133–142 The mathematics of fivebranesRobbert Dijkgraaf
pp. 143–152 On the problem of stability for near to integrable Hamiltonian systemsAntonio Giorgilli
pp. 153–162 Stability of matter in classical and quantized fieldsGian Michele Graf
pp. 163–172 Rogers-Ramanujan identities: A century of progress from mathematics to physicsAlexander BerkovichBarry M. McCoy
pp. 173–181 Metastability and the Ising modelRoberto H. Schonmann
pp. 183–192 Space of local fields in integrable field theory and deformed abelian differentialsFeodor A. Smirnov
pp. 193–202 Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equationHorng-Tzer Yau
pp. 205–211 Stochastic coalescenceDavid J. Aldous
pp. 213–222 State space collapse for queueing networksMaury Bramson
pp. 223–235 Random and deterministic perturbations of nonlinear oscillatorsMark I. Freidlin
pp. 237–243 Bayesian density estimationJayanta K. Ghosh
pp. 245–255 Lattice point problems and the central limit theorem in Euclidean spacesF. Götze
pp. 257–266 Applications of intentionally biased bootstrap methodsPeter HallBrett Presnell
pp. 267–278 Oracle inequalities and nonparametric function estimationIain M. Johnstone
pp. 279–289 Branching processes, random trees and superprocessesJean-François Le Gall
pp. 291–300 Genetic linkage analysis: An irregular statistical problemDavid Siegmund
pp. 301–310 Brownian motion and random obstaclesAlain-Sol Sznitman
pp. 311–320 Within and beyond the reach of Brownian innovationBoris Tsirelson
pp. 321–330 Reflecting diffusions and queueing networksR.J. Williams
pp. 333–342 Hereditary properties of graphs: Asymptotic enumeration, global structure, and colouringpp. 343–354 Applications of relaxed submodularityAndrás Frank
pp. 355–364 Ordering the symmetric group: why using the Iwahori-Hecke algebra?Alain Lascoux
pp. 365–375 Mathematical snapshots from the computational geometry landscapeJiří Matoušek
pp. 377–386 Nets, -sequences, and algebraic curves over finite fields with many rational pointsHarald Niederreiter
pp. 387–396 The sphere packing problemN.J.A. Sloane
pp. 397–408 Finite geometries, varieties and codesJoseph A. Thas
pp. 409–417 Multisegment duality, canonical bases and total positivityAndrei Zelevinsky
pp. 421–428 Worst-case complexity, average-case complexity and lattice problemsMiklós Ajtai
pp. 429–439 Games, complexity classes, and approximation algorithms.Joan Feigenbaum
pp. 441–450 On approximating NP-hard optimization problemsJohan Håstad
pp. 451–460 Unsolvable systems of equations and proof complexityToniann Pitassi
pp. 461–470 Probabilistic verification of proofsMadhu Sudan
pp. 471–478 Halving point setsArtur AndrzejakEmo Welzl
pp. 481–490 On multiresolution methods in numerical analysisGregory Beylkin
pp. 491–501 Uniform asymptotics for orthogonal polynomialsP. DeiftT. KriecherbauerK.T.-R. McLaughlinS. VenakidesX. Zhou
pp. 503–512 Wavelet based numerical homogenizationBjorn Engquist
pp. 513–522 A study of bifurcation of Kolmogorov flows with an emphasis on the singular limitHisashi Okamoto
pp. 523–532 Computation with wavelets in higher dimensionsJan-Olov Strömberg
pp. 533–542 Schwarz-Christoffel mapping in the computer eraLloyd N. TrefethenTobin A. Driscoll
pp. 545–563 The minimum-entropy algorithm and related methods for calibrating asset-pricing modelsMarco Avellaneda
pp. 565–574 The tree of life and other affine buildingsAndreas DressWerner Terhalle
pp. 575–584 A new version of the fast Gauss transformLeslie GreengardXiaobai Sun
pp. 585–592 Strategies for seeingUlf Grenander
pp. 593–599 Canonical models in mathematical neuroscienceFrank HoppensteadtEugene Izhikevich
pp. 601–610 Numerical study of free interface problems using boundary integral methodsThomas Yizhao Hou
pp. 611–622 Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional \"dynamical\" systemsGérard Iooss
pp. 623–632 Exact relations for composites: Towards a complete solutionYury GrabovskyGraeme W. Milton
pp. 633–642 Optimal dynamic instability of microtubulesCharles S. Peskin
pp. 645–656 On the solution of traveling salesman problemsDavid ApplegateRobert BixbyVašek ChvátalWilliam Cook
pp. 657–666 Semidefinite programming and combinatorial optimizationMichel X. Goemans
pp. 667–676 Active set and interior methods for nonlinear optimizationRichard H. ByrdJorge Nocedal
pp. 677–686 Column generation and the airline crew pairing problemRanga AnbilJohn J. ForrestWilliam R. Pulleyblank
pp. 687–695 Routing and timetabling by topological searchAlexander Schrijver
pp. 697–706 Open dynamical systems and their controlJan C. Willems
pp. 707–716 Free material optimizationMichal KočvaraJochem Zowe
pp. 719–721 Mathematics education: Reform or renewal?George E. Andrews
pp. 723–733 From the comprehension of learning processes to the concept of teaching processMichèle Artigue
pp. 735–746 Drawing instruments: Theories and practices from history to didacticsM.G. Bartolini Bussi
pp. 747–762 Difficulties in the passage from secondary to tertiary educationMiguel de GuzmánBernard R. HodgsonAline RobertVinicio Villani
pp. 763–766 Mathematics instruction in the twenty-first centuryD.J. Lewis
pp. 767–776 Aspects of the nature and state of research in mathematics educationMogens Niss
pp. 777–786 Renewal in collegiate mathematics educationDavid A. Smith
pp. 789–798 History of mathematics in China: A factor in world history and a source for new questionsKarine Chemla
pp. 799–809 Marx, Mao and mathematics: The politics of infinitesimalsJoseph W. Dauben
pp. 811–822 The Riemann-Roch theorem and geometry, 1854-1914Jeremy J. Gray