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
DOI 10.4171/DMS/1-3/1pp. 21–30 Phenomena of compensation and estimates for partial differential equationsFrédéric Hélein
DOI 10.4171/DMS/1-3/2pp. 31–38 Viscosity solutions of elliptic partial differential equationsRobert R. Jensen
DOI 10.4171/DMS/1-3/3pp. 39–48 Minimal regularity solutions of nonlinear wave equationsHans Lindblad
DOI 10.4171/DMS/1-3/4pp. 49–55 Fourier analysis of null forms and nonlinear wave equationsM. Machedon
DOI 10.4171/DMS/1-3/5pp. 57–66 Blow-up phenomena for critical nonlinear Schrödinger and Zakharov equationsFrank Merle
DOI 10.4171/DMS/1-3/6pp. 67–76 On nonlinear dispersive equationsGustavo Ponce
DOI 10.4171/DMS/1-3/7pp. 77–86 Inverse boundary value problems for partial differential equationsGunther Uhlmann
DOI 10.4171/DMS/1-3/8pp. 87–96 Scattering theory: Some old and new problemsD. Yafaev
DOI 10.4171/DMS/1-3/9pp. 99–108 Spectral statisticsEugène Bogomolny
DOI 10.4171/DMS/1-3/10pp. 109–112 Scaling algebras in local relativistic quantum physicsDetlev Buchholz
DOI 10.4171/DMS/1-3/11pp. 113–122 Finite-size scaling in percolationJ.T. Chayes
DOI 10.4171/DMS/1-3/12pp. 123–132 Extended dynamical systemsP. Collet
DOI 10.4171/DMS/1-3/13pp. 133–142 The mathematics of fivebranesRobbert Dijkgraaf
DOI 10.4171/DMS/1-3/14pp. 143–152 On the problem of stability for near to integrable Hamiltonian systemsAntonio Giorgilli
DOI 10.4171/DMS/1-3/15pp. 153–162 Stability of matter in classical and quantized fieldsGian Michele Graf
DOI 10.4171/DMS/1-3/16pp. 163–172 Rogers-Ramanujan identities: A century of progress from mathematics to physicsAlexander BerkovichBarry M. McCoy
DOI 10.4171/DMS/1-3/17pp. 173–181 Metastability and the Ising modelRoberto H. Schonmann
DOI 10.4171/DMS/1-3/18pp. 183–192 Space of local fields in integrable field theory and deformed abelian differentialsFeodor A. Smirnov
DOI 10.4171/DMS/1-3/19pp. 193–202 Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equationHorng-Tzer Yau
DOI 10.4171/DMS/1-3/20pp. 205–211 Stochastic coalescenceDavid J. Aldous
DOI 10.4171/DMS/1-3/21pp. 213–222 State space collapse for queueing networksMaury Bramson
DOI 10.4171/DMS/1-3/22pp. 223–235 Random and deterministic perturbations of nonlinear oscillatorsMark I. Freidlin
DOI 10.4171/DMS/1-3/23pp. 237–243 Bayesian density estimationJayanta K. Ghosh
DOI 10.4171/DMS/1-3/24pp. 245–255 Lattice point problems and the central limit theorem in Euclidean spacesF. Götze
DOI 10.4171/DMS/1-3/25pp. 257–266 Applications of intentionally biased bootstrap methodsPeter HallBrett Presnell
DOI 10.4171/DMS/1-3/26pp. 267–278 Oracle inequalities and nonparametric function estimationIain M. Johnstone
DOI 10.4171/DMS/1-3/27pp. 279–289 Branching processes, random trees and superprocessesJean-François Le Gall
DOI 10.4171/DMS/1-3/28pp. 291–300 Genetic linkage analysis: An irregular statistical problemDavid Siegmund
DOI 10.4171/DMS/1-3/29pp. 301–310 Brownian motion and random obstaclesAlain-Sol Sznitman
DOI 10.4171/DMS/1-3/30pp. 311–320 Within and beyond the reach of Brownian innovationBoris Tsirelson
DOI 10.4171/DMS/1-3/31pp. 321–330 Reflecting diffusions and queueing networksR.J. Williams
DOI 10.4171/DMS/1-3/32pp. 333–342 DOI 10.4171/DMS/1-3/33Hereditary properties of graphs: Asymptotic enumeration, global structure, and colouringpp. 343–354 Applications of relaxed submodularityAndrás Frank
DOI 10.4171/DMS/1-3/34pp. 355–364 Ordering the symmetric group: why using the Iwahori-Hecke algebra?Alain Lascoux
DOI 10.4171/DMS/1-3/35pp. 365–375 Mathematical snapshots from the computational geometry landscapeJiří Matoušek
DOI 10.4171/DMS/1-3/36pp. 377–386 Nets, -sequences, and algebraic curves over finite fields with many rational pointsHarald Niederreiter
DOI 10.4171/DMS/1-3/37pp. 387–396 The sphere packing problemN.J.A. Sloane
DOI 10.4171/DMS/1-3/38pp. 397–408 Finite geometries, varieties and codesJoseph A. Thas
DOI 10.4171/DMS/1-3/39pp. 409–417 Multisegment duality, canonical bases and total positivityAndrei Zelevinsky
DOI 10.4171/DMS/1-3/40pp. 421–428 Worst-case complexity, average-case complexity and lattice problemsMiklós Ajtai
DOI 10.4171/DMS/1-3/41pp. 429–439 Games, complexity classes, and approximation algorithms.Joan Feigenbaum
DOI 10.4171/DMS/1-3/42pp. 441–450 On approximating NP-hard optimization problemsJohan Håstad
DOI 10.4171/DMS/1-3/43pp. 451–460 Unsolvable systems of equations and proof complexityToniann Pitassi
DOI 10.4171/DMS/1-3/44pp. 461–470 Probabilistic verification of proofsMadhu Sudan
DOI 10.4171/DMS/1-3/45pp. 471–478 Halving point setsArtur AndrzejakEmo Welzl
DOI 10.4171/DMS/1-3/46pp. 481–490 On multiresolution methods in numerical analysisGregory Beylkin
DOI 10.4171/DMS/1-3/47pp. 491–501 Uniform asymptotics for orthogonal polynomialsP. DeiftT. KriecherbauerK.T.-R. McLaughlinS. VenakidesX. Zhou
DOI 10.4171/DMS/1-3/48pp. 503–512 Wavelet based numerical homogenizationBjorn Engquist
DOI 10.4171/DMS/1-3/49pp. 513–522 A study of bifurcation of Kolmogorov flows with an emphasis on the singular limitHisashi Okamoto
DOI 10.4171/DMS/1-3/50pp. 523–532 Computation with wavelets in higher dimensionsJan-Olov Strömberg
DOI 10.4171/DMS/1-3/51pp. 533–542 Schwarz-Christoffel mapping in the computer eraLloyd N. TrefethenTobin A. Driscoll
DOI 10.4171/DMS/1-3/52pp. 545–563 The minimum-entropy algorithm and related methods for calibrating asset-pricing modelsMarco Avellaneda
DOI 10.4171/DMS/1-3/53pp. 565–574 The tree of life and other affine buildingsAndreas DressWerner Terhalle
DOI 10.4171/DMS/1-3/54pp. 575–584 A new version of the fast Gauss transformLeslie GreengardXiaobai Sun
DOI 10.4171/DMS/1-3/55pp. 585–592 Strategies for seeingUlf Grenander
DOI 10.4171/DMS/1-3/56pp. 593–599 Canonical models in mathematical neuroscienceFrank HoppensteadtEugene Izhikevich
DOI 10.4171/DMS/1-3/57pp. 601–610 Numerical study of free interface problems using boundary integral methodsThomas Yizhao Hou
DOI 10.4171/DMS/1-3/58pp. 611–622 Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional \"dynamical\" systemsGérard Iooss
DOI 10.4171/DMS/1-3/59pp. 623–632 Exact relations for composites: Towards a complete solutionYury GrabovskyGraeme W. Milton
DOI 10.4171/DMS/1-3/60pp. 633–642 Optimal dynamic instability of microtubulesCharles S. Peskin
DOI 10.4171/DMS/1-3/61pp. 645–656 On the solution of traveling salesman problemsDavid ApplegateRobert BixbyVašek ChvátalWilliam Cook
DOI 10.4171/DMS/1-3/62pp. 657–666 Semidefinite programming and combinatorial optimizationMichel X. Goemans
DOI 10.4171/DMS/1-3/63pp. 667–676 Active set and interior methods for nonlinear optimizationRichard H. ByrdJorge Nocedal
DOI 10.4171/DMS/1-3/64pp. 677–686 Column generation and the airline crew pairing problemRanga AnbilJohn J. ForrestWilliam R. Pulleyblank
DOI 10.4171/DMS/1-3/65pp. 687–695 Routing and timetabling by topological searchAlexander Schrijver
DOI 10.4171/DMS/1-3/66pp. 697–706 Open dynamical systems and their controlJan C. Willems
DOI 10.4171/DMS/1-3/67pp. 707–716 Free material optimizationMichal KočvaraJochem Zowe
DOI 10.4171/DMS/1-3/68pp. 719–721 Mathematics education: Reform or renewal?George E. Andrews
DOI 10.4171/DMS/1-3/69pp. 723–733 From the comprehension of learning processes to the concept of teaching processMichèle Artigue
DOI 10.4171/DMS/1-3/70pp. 735–746 Drawing instruments: Theories and practices from history to didacticsM.G. Bartolini Bussi
DOI 10.4171/DMS/1-3/71pp. 747–762 Difficulties in the passage from secondary to tertiary educationMiguel de GuzmánBernard R. HodgsonAline RobertVinicio Villani
DOI 10.4171/DMS/1-3/72pp. 763–766 Mathematics instruction in the twenty-first centuryD.J. Lewis
DOI 10.4171/DMS/1-3/73pp. 767–776 Aspects of the nature and state of research in mathematics educationMogens Niss
DOI 10.4171/DMS/1-3/74pp. 777–786 Renewal in collegiate mathematics educationDavid A. Smith
DOI 10.4171/DMS/1-3/75pp. 789–798 History of mathematics in China: A factor in world history and a source for new questionsKarine Chemla
DOI 10.4171/DMS/1-3/76pp. 799–809 Marx, Mao and mathematics: The politics of infinitesimalsJoseph W. Dauben
DOI 10.4171/DMS/1-3/77pp. 811–822 The Riemann-Roch theorem and geometry, 1854-1914Jeremy J. Gray
DOI 10.4171/DMS/1-3/78