Proceedings of the International Congress of Mathematicians
Madrid, August 22–30, 2006


Book details

Volume I  | Volume II  | Volume III

The work of Andrei Okounkov
Giovanni Felder
pp. 55–64
Abstract | Full-Text PDF (100 KB)

The work of Grigory Perelman
John Lott
pp. 66–76
Abstract | Full-Text PDF (106 KB)

The work of Terence Tao
Charles Fefferman
pp. 78–86
Abstract | Full-Text PDF (100 KB)

The work of Wendelin Werner
Charles M. Newman
pp. 88–95
Abstract | Full-Text PDF (97 KB)

The work of Jon Kleinberg
John Hopcroft
pp. 97–108
Abstract | Full-Text PDF (100 KB)

On Kiyosi Itô's work and its impact
Hans Föllmer
pp. 109–123
Abstract | Full-Text PDF (240 KB)

Universality for mathematical and physical systems
Percy Deift
pp. 125–152
Abstract | Full-Text PDF (193 KB)

Kähler manifolds and transcendental techniques in algebraic geometry
Jean-Pierre Demailly
pp. 153–186
Abstract | Full-Text PDF (275 KB)

Optimal computation
Ronald A. DeVore
pp. 187–215
Abstract | Full-Text PDF (188 KB)

Symplectic field theory and its applications
Yasha Eliashberg
pp. 217–246
Abstract | Full-Text PDF (217 KB)

Knots and dynamics
Étienne Ghys
pp. 247–277
Abstract | Full-Text PDF (325 KB)

Prime numbers and L-functions
Henryk Iwaniec
pp. 279–306
Abstract | Full-Text PDF (167 KB)

High dimensional statistical inference and random matrices
Iain M. Johnstone
pp. 307–333
Abstract | Full-Text PDF (237 KB)

Iwasawa theory and generalizations
Kazuya Kato
pp. 335–357
Abstract | Full-Text PDF (170 KB)

Energy-driven pattern formation
Robert V. Kohn
pp. 359–383
Abstract | Full-Text PDF (273 KB)

Moduli spaces from a topological viewpoint
Jørgen Ellegaard Andersen
pp. 385–411
Abstract | Full-Text PDF (183 KB)

Advances in convex optimization: conic programming
Arkadi Nemirovski
pp. 413–444
Abstract | Full-Text PDF (217 KB)

Deformation and rigidity for group actions and von Neumann algebras
Sorin Popa
pp. 445–477
Abstract | Full-Text PDF (232 KB)

Cardiovascular mathematics
Alfio Quarteroni
pp. 479–512
Abstract | Full-Text PDF (954 KB)

Conformally invariant scaling limits: an overview and a collection of problems
Oded Schramm
pp. 513–543
Abstract | Full-Text PDF (307 KB)

Increasing and decreasing subsequences and their variants
Richard P. Stanley
pp. 545–579
Abstract | Full-Text PDF (236 KB)

The dichotomy between structure and randomness, arithmetic progressions, and the primes
Terence Tao
pp. 581–608
Abstract | Full-Text PDF (191 KB)

Perspectives in nonlinear diffusion: between analysis, physics and geometry
Juan Luis Vázquez
pp. 609–634
Abstract | Full-Text PDF (291 KB)

Applications of equivariant cohomology
Michèle Vergne
pp. 635–664
Abstract | Full-Text PDF (324 KB)

P, NP and mathematics – a computational complexity perspective
Avi Wigderson
pp. 665–712
Abstract

The Poincaré Conjecture
John W. Morgan
pp. 713–736
Abstract

Panel discussion: Should mathematicians care about communicating to broad audiences? Theory and practice
pp. 737–756
Abstract | Full-Text PDF (112 KB)

ICM 2006 Closing round table: Are pure and applied mathematics drifting apart?
pp. 757–776
Abstract | Full-Text PDF (95 KB)

From the private to the public: The road from Zurich (1897) to Madrid (2006)
José M. Sánchez-Ron
pp. 777–793
Abstract | Full-Text PDF (103 KB)


Volume II  | Volume I  | Volume III

Algorithmic randomness and computability
Rodney G. Downey
pp. 1–26
Abstract | Full-Text PDF (151 KB)

Determinacy and large cardinals
Itay Neeman
pp. 27–43
Abstract | Full-Text PDF (136 KB)

The art of ordinal analysis
Michael Rathjen
pp. 45–69
Abstract | Full-Text PDF (163 KB)

Analytic difference rings
Thomas Scanlon
pp. 71–92
Abstract | Full-Text PDF (170 KB)

Borel superrigidity and the classification problem for the torsion-free abelian groups of finite rank
Simon Thomas
pp. 93–116
Abstract | Full-Text PDF (161 KB)

Quiver algebras, weighted projective lines, and the Deligne–Simpson problem
William Crawley-Boevey
pp. 117–129
Abstract | Full-Text PDF (107 KB)

Zeta functions of groups and rings
Marcus J. du Sautoy and Fritz Grunewald
pp. 131–149
Abstract | Full-Text PDF (137 KB)

On differential graded categories
Bernhard Keller
pp. 151–190
Abstract | Full-Text PDF (211 KB)

Derived equivalences and finite dimensional algebras
Raphaël Rouquier
pp. 191–221
Abstract | Full-Text PDF (204 KB)

Algorithmic and asymptotic properties of groups
Mark V. Sapir
pp. 223–244
Abstract | Full-Text PDF (152 KB)

A unified approach to computations with permutation and matrix groups
Ákos Seress
pp. 245–258
Abstract | Full-Text PDF (98 KB)

Some results in noncommutative ring theory
Agata Smoktunowicz
pp. 259–269
Abstract | Full-Text PDF (72 KB)

Higher composition laws and applications
Manjul Bhargava
pp. 271–294
Abstract | Full-Text PDF (156 KB)

Higher composition laws and applications
Ching-Li Chai
pp. 295–312
Abstract | Full-Text PDF (143 KB)

Heegner points, Stark–Heegner points, and values of L-series
Henri Darmon
pp. 313–345
Abstract | Full-Text PDF (203 KB)

Galois deformations and arithmetic geometry of Shimura varieties
Kazuhiro Fujiwara
pp. 347–371
Abstract | Full-Text PDF (182 KB)

Generalising the Hardy–Littlewood method for primes
Ben J. Green
pp. 373–399
Abstract | Full-Text PDF (168 KB)

Aspects géométriques du Lemme Fondamental de Langlands-Shelstad
Gérard Laumon
pp. 401–419
Abstract | Full-Text PDF (142 KB)

Equidistribution, L-functions and ergodic theory: on some problems of Yu. Linnik
Philippe Michel and Akshay Venkatesh
pp. 421–457
Abstract | Full-Text PDF (244 KB)

p-adic motivic cohomology in arithmetic
Wiesława Nizioł
pp. 459–472
Abstract | Full-Text PDF (118 KB)

Vanishing of L-functions and ranks of Selmer groups
Christopher Skinner and Eric Urban
pp. 473–500
Abstract | Full-Text PDF (216 KB)

Special values of L-functions modulo p
Vinayak Vatsal
pp. 501–514
Abstract | Full-Text PDF (112 KB)

Higher-dimensional analogues of stable curves
Valery Alexeev
pp. 515–536
Abstract | Full-Text PDF (151 KB)

Evaluation maps, slopes, and algebraicity criteria
Jean-Benoît Bost
pp. 537–562
Abstract | Full-Text PDF (185 KB)

Derived categories of coherent sheaves
Tom Bridgeland
pp. 563–582
Abstract | Full-Text PDF (133 KB)

Invariants of singularities of pairs
Lawrence Ein and Mircea Mustaţă
pp. 583–602
Abstract | Full-Text PDF (144 KB)

Rational curves and rational points
Tom Graber
pp. 603–611
Abstract | Full-Text PDF (67 KB)

Rigidity of rational homogeneous spaces
Jun-Muk Hwang
pp. 613–626
Abstract | Full-Text PDF (101 KB)

Geometry of multiple zeta values
Tomohide Terasoma
pp. 627–635
Abstract | Full-Text PDF (92 KB)

Geometry over nonclosed fields
Yuri Tschinkel
pp. 637–651
Abstract | Full-Text PDF (105 KB)

Algebraic Morse theory and the weak factorization theorem
Jarosław Włodarczyk
pp. 653–682
Abstract | Full-Text PDF (254 KB)

Manifolds with positive curvature operators are space forms
Christoph Böhm and Burkhard Wilking
pp. 683–690
Abstract | Full-Text PDF (73 KB)

Elliptic and parabolic problems in conformal geometry
Simon Brendle
pp. 691–704
Abstract | Full-Text PDF (102 KB)

The topology and geometry of contact structures in dimension three
Ko Honda
pp. 705–717
Abstract | Full-Text PDF (98 KB)

Generalized triangle inequalities and their applications
Michael Kapovich
pp. 719–741
Abstract | Full-Text PDF (148 KB)

The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity
Bruce Kleiner
pp. 743–768
Abstract | Full-Text PDF (142 KB)

Lagrangian submanifolds: from the local model to the cluster complex
Philippe Charron
pp. 769–789
Abstract | Full-Text PDF (142 KB)

Gromov–Witten invariants and moduli spaces of curves
Xiaobo Liu
pp. 791–812
Abstract | Full-Text PDF (148 KB)

Extremal metrics and stabilities on polarized manifolds
Toshiki Mabuchi
pp. 813–826
Abstract | Full-Text PDF (120 KB)

Tropical geometry and its applications
Grigory Mikhalkin
pp. 827–852
Abstract | Full-Text PDF (168 KB)

Embedded minimal surfaces
William P. Minicozzi II
pp. 853–877
Abstract | Full-Text PDF (141 KB)

Floer homology in symplectic geometry and in mirror symmetry
Yong-Geun Oh and Kenji Fukaya
pp. 879–905
Abstract | Full-Text PDF (177 KB)

Properly embedded minimal surfaces with finite topology
Antonio Ros
pp. 907–926
Abstract | Full-Text PDF (198 KB)

Applications of loop group factorization to geometric soliton equations
Chuu-Lian Terng
pp. 927–950
Abstract | Full-Text PDF (178 KB)

Finiteness of arithmetic Kleinian reflection groups
Ian Agol
pp. 951–960
Abstract | Full-Text PDF (97 KB)

Non-positive curvature and complexity for finitely presented groups
Martin R. Bridson
pp. 961–987
Abstract | Full-Text PDF (222 KB)

Link homology and categorification
Aaron D. Lauda
pp. 989–999
Abstract | Full-Text PDF (92 KB)

Curve complexes, surfaces and 3-manifolds
Yair N. Minsky
pp. 1001–1033
Abstract | Full-Text PDF (195 KB)

A1-algebraic topology
Fabien Morel
pp. 1035–1059
Abstract | Full-Text PDF (185 KB)

Development in symplectic Floer theory
Kaoru Ono
pp. 1061–1082
Abstract | Full-Text PDF (158 KB)

Heegaard diagrams and Floer homology
Peter Ozsváth and Zoltán Szabó
pp. 1083–1099
Abstract | Full-Text PDF (132 KB)

The cohomology of automorphism groups of free groups
Karen Vogtmann
pp. 1101–1117
Abstract | Full-Text PDF (181 KB)

Noncommutative counterparts of the Springer resolution
Roman Bezrukavnikov
pp. 1119–1144
Abstract | Full-Text PDF (189 KB)

Spaces of quasi-maps into the flag varieties and their applications
Alexander Braverman
pp. 1145–1170
Abstract | Full-Text PDF (188 KB)

On the local Langlands and Jacquet–Langlands correspondences
Guy Henniart
pp. 1171–1182
Abstract | Full-Text PDF (108 KB)

An invitation to bounded cohomology
Nicolas Monod
pp. 1183–1211
Abstract | Full-Text PDF (168 KB)

Fibration de Hitchin et structure endoscopique de la formule des traces
Bao-Châu Ngô
pp. 1213–1225
Abstract | Full-Text PDF (106 KB)

Hecke algebras and harmonic analysis
Eric M. Opdam
pp. 1227–1259
Abstract | Full-Text PDF (234 KB)

Continuous representation theory of p-adic Lie groups
Peter Schneider
pp. 1261–1282
Abstract | Full-Text PDF (155 KB)

The algebraization of Kazhdan’s property (T)
Yehuda Shalom
pp. 1283–1310
Abstract | Full-Text PDF (174 KB)

Rankin–Selberg integrals, the descent method, and Langlands functoriality
David Soudry
pp. 1311–1325
Abstract | Full-Text PDF (131 KB)

Representation theory and the cohomology of arithmetic groups
Birgit Speh
pp. 1327–1335
Abstract | Full-Text PDF (88 KB)

Some results on compactifications of semisimple groups
Tonny A. Springer
pp. 1337–1348
Abstract | Full-Text PDF (100 KB)

Quasiconformal geometry of fractals
Mario Bonk
pp. 1349–1373
Abstract | Full-Text PDF (158 KB)

Local Tb theorems and applications in PDE
Dorina Mitrea
pp. 1375–1392
Abstract | Full-Text PDF (130 KB)

Almost everywhere convergence and divergence of Fourier series
Sergey V. Konyagin
pp. 1393–1403
Abstract | Full-Text PDF (83 KB)

Iterated Segre mappings of real submanifolds in complex space and applications
Linda Preiss Rothschild
pp. 1405–1419
Abstract | Full-Text PDF (110 KB)

Towards conformal invariance of 2D lattice models
Stanislav Smirnov
pp. 1421–1451
Abstract | Full-Text PDF (543 KB)

Aspects of the L2-Sobolev theory of the -Neumann problem
Emil J. Straube
pp. 1453–1478
Abstract | Full-Text PDF (173 KB)

Greedy approximations with regard to bases
Vladimir N. Temlyakov
pp. 1479–1504
Abstract | Full-Text PDF (157 KB)

Analytic capacity, rectifiability, and the Cauchy integral
Xavier Tolsa
pp. 1505–1527
Abstract | Full-Text PDF (154 KB)

The Brunn–Minkowski theorem and related geometric and functional inequalities
Franck Barthe
pp. 1529–1546
Abstract | Full-Text PDF (124 KB)

Isomorphic and almost-isometric problems in high-dimensional convex geometry
Bo'az Klartag
pp. 1547–1562
Abstract | Full-Text PDF (113 KB)

Amenable actions and applications
Narutaka Ozawa
pp. 1563–1580
Abstract | Full-Text PDF (146 KB)

Structure and classification of C*-algebras
Mikael Rørdam
pp. 1581–1598
Abstract | Full-Text PDF (141 KB)

Convexity, complexity, and high dimensions
Stanislaw J. Szarek
pp. 1599–1621
Abstract | Full-Text PDF (141 KB)

Higher index theory of elliptic operators and geometry of groups
Guoliang Yu
pp. 1623–1639
Abstract | Full-Text PDF (107 KB)

On spectral invariants in modern ergodic theory
Oleg N. Ageev
pp. 1641–1653
Abstract | Full-Text PDF (98 KB)

Ergodic Ramsey theory: a dynamical approach to static theorems
Vitaly Bergelson
pp. 1655–1678
Abstract | Full-Text PDF (172 KB)

Hyperbolic billiards and statistical physics
Nikolai Chernov and Dmitry Dolgopyat
pp. 1679–1704
Abstract | Full-Text PDF (160 KB)

Some recent progress in geometric methods in the instability problem in Hamiltonian mechanics
Rafael de la Llave
pp. 1705–1729
Abstract | Full-Text PDF (192 KB)

Diagonalizable flows on locally homogeneous spaces and number theory
Manfred Einsiedler and Elon Lindenstrauss
pp. 1731–1759
Abstract | Full-Text PDF (183 KB)


Volume III  | Volume I  | Volume II

Braids and differential equations
Robert Ghrist
pp. 1–26
Abstract | Full-Text PDF (186 KB)

Newton interpolation polynomials, discretization method, and certain prevalent properties in dynamical systems
Anton Gorodetski, Brian Hunt and Vadim Kaloshin
pp. 27–55
Abstract | Full-Text PDF (212 KB)

From combinatorics to ergodic theory and back again
Bryna Kra
pp. 57–76
Abstract | Full-Text PDF (138 KB)

From Brouwer theory to the study of homeomorphisms of surfaces
Patrice Le Calvez
pp. 77–98
Abstract | Full-Text PDF (151 KB)

All, most, some differentiable dynamical systems
Michael Shub
pp. 99–120
Abstract | Full-Text PDF (133 KB)

Geodesics on flat surfaces
Anton Zorich
pp. 121–146
Abstract | Full-Text PDF (199 KB)

Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems and relaxation approximation
Stefano Bianchini
pp. 147–155
Abstract | Full-Text PDF (78 KB)

Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem
Patrick Gérard
pp. 156–182
Abstract | Full-Text PDF (165 KB)

The periodic Lorentz gas in the Boltzmann-Grad limit
François Golse
pp. 183–201
Abstract | Full-Text PDF (145 KB)

Conformal invariants and nonlinear elliptic equations
Matthew J. Gursky
pp. 203–212
Abstract | Full-Text PDF (85 KB)

Asymptotic solutions for large time of Hamilton–Jacobi equations
Kenji Nishihara
pp. 213–227
Abstract | Full-Text PDF (113 KB)

The weak-coupling limit of large classical and quantum systems
Mario Pulvirenti
pp. 229–256
Abstract | Full-Text PDF (165 KB)

Symmetry of entire solutions for a class of semilinear elliptic equations
Ovidiu Savin
pp. 257–265
Abstract | Full-Text PDF (75 KB)

Vortices in the Ginzburg–Landau model of superconductivity
Sylvia Serfaty
pp. 267–290
Abstract | Full-Text PDF (160 KB)

Recent developments in elliptic partial differential equations of Monge–Ampère type
Neil S. Trudinger
pp. 291–301
Abstract | Full-Text PDF (91 KB)

The initial value problem for nonlinear Schrödinger equations
Luis Vega
pp. 303–319
Abstract | Full-Text PDF (115 KB)

Singular solutions of partial differential equations modelling chemotactic aggregation
Juan José L. Velazques
pp. 321–338
Abstract | Full-Text PDF (99 KB)

From topological field theory to deformation quantization and reduction
Alberto S. Cattaneo
pp. 339–365
Abstract | Full-Text PDF (199 KB)

Matrix ansatz and large deviations of the density in exclusion processes
Bernard Derrida
pp. 367–382
Abstract | Full-Text PDF (105 KB)

Correlation functions of the XXZ Heisenberg spin chain: Bethe ansatz approach
Jean Michel Maillet
pp. 383–408
Abstract | Full-Text PDF (172 KB)

Gromov–Witten invariants and topological strings: a progress report
Marcos Mariño
pp. 409–419
Abstract | Full-Text PDF (82 KB)

The Cauchy problem in General Relativity
Igor Rodnianski
pp. 421–442
Abstract | Full-Text PDF (139 KB)

Categorification and correlation functions in conformal field theory
Christoph Schweigert and Jürgen Fuchs
pp. 443–458
Abstract | Full-Text PDF (99 KB)

Soliton dynamics and scattering
Avy Soffer
pp. 459–471
Abstract | Full-Text PDF (99 KB)

Hypocoercive diffusion operators
Cédric Villani
pp. 473–498
Abstract | Full-Text PDF (167 KB)

Metastability: a potential theoretic approach
Anton Bovier
pp. 499–518
Abstract | Full-Text PDF (128 KB)

On Ising droplets
Raphaël Cerf
pp. 519–533
Abstract | Full-Text PDF (637 KB)

Simple random covering, disconnection, late and favorite points
Amir Dembo
pp. 535–558
Abstract | Full-Text PDF (190 KB)

Modelling genes: mathematical and statistical challenges in genomics
Peter Donnelly
pp. 559–574
Abstract | Full-Text PDF (85 KB)

Geometric stochastic analysis on path spaces
K. David Elworthy and Xue-Mei Li
pp. 575–594
Abstract | Full-Text PDF (149 KB)

Statistical challenges with high dimensionality: feature selection in knowledge discovery
Jianqing Fan and Runze Li
pp. 595–622
Abstract | Full-Text PDF (245 KB)

Random matrices and enumeration of maps
Alice Guionnet
pp. 623–636
Abstract | Full-Text PDF (111 KB)

The weak/strong survival transition on trees and nonamenable graphs
Steven P. Lalley
pp. 637–647
Abstract | Full-Text PDF (90 KB)

New developments in stochastic dynamics
Yves Le Jan
pp. 649–667
Abstract | Full-Text PDF (140 KB)

Stochastic classification models
Peter McCullagh and Jie Yang
pp. 669–686
Abstract | Full-Text PDF (160 KB)

Random partitions and instanton counting
Andrei Okounkov
pp. 687–711
Abstract | Full-Text PDF (853 KB)

Estimation in inverse problems and second-generation wavelets
Dominique Picard and Gérard Kerkyacharian
pp. 713–739
Abstract | Full-Text PDF (251 KB)

Conformal restriction properties
Wendelin Werner
pp. 741–762
Abstract | Full-Text PDF (619 KB)

The complexity of generating functions for integer points in polyhedra and beyond
Alexander Barvinok
pp. 763–787
Abstract | Full-Text PDF (160 KB)

Rational and algebraic series in combinatorial enumeration
Mireille Bousquet-Mélou
pp. 789–826
Abstract | Full-Text PDF (327 KB)

Towards a structure theory for matrices and matroids
Jim Geelen, Bert Gerards and Geoff Whittle
pp. 827–842
Abstract | Full-Text PDF (102 KB)

Cherednik algebras, Macdonald polynomials and combinatorics
Mark Haiman
pp. 843–872
Abstract | Full-Text PDF (244 KB)

Poisson cloning model for random graphs
Jeong Han Kim
pp. 873–897
Abstract | Full-Text PDF (169 KB)

Randomness and regularity
Tomasz Łuczak
pp. 899–909
Abstract | Full-Text PDF (92 KB)

Additive combinatorics and geometry of numbers
Imre Z. Ruzsa
pp. 911–930
Abstract | Full-Text PDF (120 KB)

Geometric bistellar flips: the setting, the context and a construction
Domingo Gómez-Pérez
pp. 931–962
Abstract | Full-Text PDF (184 KB)

A survey of Pfaffian orientations of graphs
Robin Thomas
pp. 963–984
Abstract | Full-Text PDF (134 KB)

Determinant versus permanent
Manindra Agrawal
pp. 985–997
Abstract | Full-Text PDF (95 KB)

The additivity problem in quantum information theory
Alexander S. Holevo
pp. 999–1018
Abstract | Full-Text PDF (129 KB)

Complex networks and decentralized search algorithms
Jon Kleinberg
pp. 1019–1044
Abstract | Full-Text PDF (137 KB)

On expander graphs and connectivity in small space
Omer Reingold
pp. 1045–1069
Abstract | Full-Text PDF (157 KB)

Potential functions and the inefficiency of equilibria
Tim Roughgarden
pp. 1071–1094
Abstract | Full-Text PDF (142 KB)

Sublinear time algorithms
Ronitt Rubinfeld
pp. 1095–1110
Abstract | Full-Text PDF (105 KB)

Pseudorandomness and combinatorial constructions
Luca Trevisan
pp. 1111–1136
Abstract | Full-Text PDF (151 KB)

Least-squares finite element methods
Pavel Bochev and Max Gunzburger
pp. 1137–1162
Abstract | Full-Text PDF (165 KB)

A posteriori error analysis and adaptive methods for partial differential equations
Zhiming Chen
pp. 1163–1180
Abstract | Full-Text PDF (1948 KB)

Error estimates for anisotropic finite elements and applications
Ricardo G. Durán
pp. 1181–1200
Abstract | Full-Text PDF (347 KB)

Linear subdivision schemes for the refinement of geometric objects
Nira Dyn
pp. 1201–1226
Abstract | Full-Text PDF (255 KB)

Wave propagation software, computational science, and reproducible research
Ido Bright
pp. 1227–1253
Abstract | Full-Text PDF (412 KB)

Reduced basis method for the rapid and reliable solution of partial differential equations
Yvon Maday
pp. 1255–1270
Abstract | Full-Text PDF (113 KB)

Finite element algorithms for transport-diffusion problems: stability, adaptivity, tractability
Endre Süli
pp. 1271–1297
Abstract | Full-Text PDF (1032 KB)

Ergodic control of diffusion processes
Vivek S. Borkar
pp. 1299–1309
Abstract | Full-Text PDF (86 KB)

Convex optimization of graph Laplacian eigenvalues
Stephen Boyd
pp. 1311–1319
Abstract | Full-Text PDF (75 KB)

Controllability of evolution equations of fluid dynamics
Oleg Yu. Emanouilov (Imanuvilov)
pp. 1321–1338
Abstract | Full-Text PDF (130 KB)

Port-Hamiltonian systems: an introductory survey
Arjan van der Schaft
pp. 1339–1365
Abstract | Full-Text PDF (158 KB)

Passive linear discrete time-invariant systems
Olof J. Staffans
pp. 1367–1388
Abstract | Full-Text PDF (160 KB)

Control and numerical approximation of the wave and heat equations
Enrique Zuazua
pp. 1389–1417
Abstract | Full-Text PDF (176 KB)

Multiscale modeling for epitaxial growth
Russel E. Caflisch
pp. 1419–1432
Abstract | Full-Text PDF (196 KB)

Compressive sampling
Emmanuel J. Candès
pp. 1433–1452
Abstract | Full-Text PDF (126 KB)

Total variation based image denoising and restoration
Vicent Caselles
pp. 1453–1472
Abstract | Full-Text PDF (287 KB)

A wavelet based sparse grid method for the electronic Schrödinger equation
Michael Griebel and Jan Hamaekers
pp. 1473–1506
Abstract | Full-Text PDF (790 KB)

Mathematical and numerical analysis for molecular simulation: accomplishments and challenges
Claude Le Bris
pp. 1507–1522
Abstract | Full-Text PDF (101 KB)

Evolutionary dynamics of cooperation
Martin A. Nowak
pp. 1523–1540
Abstract | Full-Text PDF (104 KB)

Fractional Brownian motion: stochastic calculus and applications
David Nualart
pp. 1541–1562
Abstract | Full-Text PDF (151 KB)

Atomistic and continuum models for phase change dynamics
Anders Szepessy
pp. 1563–1582
Abstract | Full-Text PDF (136 KB)

Competitions and mathematics education
Petar S. Kenderov
pp. 1583–1598
Abstract | Full-Text PDF (80 KB)

Understanding and misunderstanding the Third International Mathematics and Science Study: what is at stake and why K-12 education studies matter
Alan Siegel
pp. 1599–1630
Abstract | Full-Text PDF (338 KB)

Mathematics, the media, and the public
Ian Stewart
pp. 1631–1644
Abstract | Full-Text PDF (74 KB)

Panel A — Controversial issues in K-12 mathematical education
pp. 1645–1661
Abstract | Full-Text PDF (86 KB)

Panel B — What are PISA and TIMSS? What do they tell us?
pp. 1663–1672
Abstract | Full-Text PDF (54 KB)

Panel C — The role of mathematicians in K-12 mathematics education
pp. 1673–1696
Abstract | Full-Text PDF (105 KB)

On the origins of Hilbert’s sixth problem: physics and the empiricist approach to axiomatization
Leo Corry
pp. 1697–1718
Abstract | Full-Text PDF (100 KB)

Method versus calculus in Newton’s criticisms of Descartes and Leibniz
Niccolo Guicciardini
pp. 1719–1742
Abstract | Full-Text PDF (755 KB)

e-learning mathematics
pp. 1743–1768
Abstract | Full-Text PDF (117 KB)

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