Proceedings of the International Congress of Mathematicians: Madrid, August 22 - 30, 2006 3 Invited lectures
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| Format: | Conference Proceeding Book |
| Language: | English |
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Zürich
European Mathematical Society Publishing House
2006
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| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 1770 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Proceedings of the International Congress of Mathematicians |b Madrid, August 22 - 30, 2006 |n 3 |p Invited lectures |c Marta Sanz-Solé [und 3 andere], editors |
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Record in the Search Index
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| adam_text | Contents
10
Ordinary differential equations and dynamical systems
(continued)
Robert Ghrist
Braids and differential equations
......................................... 1
Anton Gorodetski, Brian Hunt and
Vadim
Kaloshin *
Newton interpolation polynomials, discretization method, and certain
prevalent properties in dynamical systems
................................. 27
Bryna
Kra
From combinatorics to ergodic theory and back again
....................... 57
Patrice
Le Calvez
From
Brouwer
theory to the study of homeomorphisms of surfaces
.......... 77
Michael Shub
All, most, some differentiable dynamical systems
.......................... 99
Anton Zorich
Geodesies on flat surfaces
................................................ 121
11
Partial differential equations
Stefano Bianchini
Asymptotic behavior of smooth solutions for partially dissipative
hyperbolic systems and relaxation approximation
.......................... 147
Patrick
Gérard
Nonlinear
Schrödinger
equations in inhomogeneous media:
wellposedness and illposedness of the Cauchy problem
..................... 157
François Golse
The periodic
Lorentz
gas in the Boltzmann-Grad limit
...................... 183
Matthew J. Gursky
Conformai
invariants and nonlinear elliptic equations
....................... 203
Hitoshi Ishii
Asymptotic solutions for large time of Hamilton-Jacobi equations
........... 213
Mario Pulvirenti
The weak-coupling limit of large classical and quantum systems
............. 229
Ovidiu Savin
Symmetry of entire solutions for a class of
semilinear
elliptic equations
...... 257
Sylvia Serfaty
Vortices in the Ginzburg-Landau model of superconductivity
................ 267
*In case of several authors, invited speakers are marked with an asterisk.
vi
Contents
Neil
S. Trudinger
Recent
developments in elliptic partial differential equations
of
Monge-Ampère type
................................................. 291
Luis
Vega
The initial value problem for nonlinear
Schrödinger
equations
............... 303
Juan J. L. Velazquez
Singular solutions of partial differential equations
modelling cheniotactic aggregation
....................................... 321
12
Mathematical physics
Alberto S. Cattaneo
From topological field theory to deformation quantization and reduction
...... 339
Bernard Derrida
Matrix ansatz and large deviations of the density in exclusion processes
...... 367
Jean-Michel Maillet
Correlation functions of the XXZ
Heisenberg
spin chain:
Bethe ansatz approach
................................................... 383
Marcos Marino
Gromov-Witten invariants and topological strings: a progress report
......... 409
Igor Rodnianski
The Cauchy problem in General Relativity
................................ 421
Christoph Schweigert*, Jürgen Fuchs, and Ingo
Runkei
Categorification
and correlation functions in
conformai
field theory
.......... 443
Avy Soffer
Soliton dynamics and scattering
.......................................... 459
Cédric Villani
Hypocoercive diffusion operators
......................................... 473
13
Probability and statistics
Anton Bovier
Metastability: a potential theoretic approach
............................... 499
Raphaël Cerf
On Ising droplets
....................................................... 519
Amir Dembo
Simple random covering, disconnection, late and favorite points
............. 535
Peter Donnelly
Modelling genes: mathematical and statistical challenges in genomics
....... 559
K. David Elworthy* and Xue-Mei Li
Geometric stochastic analysis on path spaces
.............................. 575
Contents
vii
Jianqing Fan* and Kunze
Li
Statistical challenges with high dimensionality: feature selection
in knowledge discovery
.................................................. 595
Alice Guionnet
Random matrices and enumeration of maps
................................ 623
Steven P. Lalley
The weak/strong survival transition on trees and nonamenable graphs
........ 637
Yves
Le Jan
New developments in stochastic dynamics
................................. 649
Peter McCullagh* and Jie Yang
Stochastic classification models
.......................................... 669
Andrei Okounkov
Random partitions and
instanton
counting
................................. 687
Dominique
Picard*
and Gerard Kerkyacharian
Estimation in inverse problems and second-generation wavelets
............. 713
Wendelin
Werner
Conformai
restriction properties
.......................................... 741
14
Combinatorics
Alexander Barvinok
The complexity of generating functions for integer points
in polyhedra and beyond
................................................. 763
Mireille Bousquet-Mélou
Rational and algebraic series in combinatorial enumeration
.................. 789
Jim Geelen, Bert Gerards*, and Geoff Whittle
Towards a structure theory for matrices and matroids
....................... 827
Mark Haiman
Cherednik algebras,
Macdonald
polynomials and combinatorics
............. 843
Jeong Han Kim
Poisson
cloning model for random graphs
................................. 873
Tomasz Łuczak
Randomness and regularity
.............................................. 899
Imre
Z. Ruzsa
Additive combinatorics and geometry of numbers
.......................... 911
Francisco Santos
Geometric bistellar flips: the setting, the context and a construction
.......... 931
Robin Thomas
A survey of Pfaffian orientations of graphs
................................. 963
viii Contents
15
Mathematical aspects of computer science
Manindra Agrawal
Determinant versus permanent
........................................... 985
Alexander S. Holevo
The additivity problem in quantum information theory
...................... 999
Jon Kleinberg
Complex networks and decentralized search algorithms
..................... 1019
Omer
Reingold
On expander graphs and connectivity in small space
........................ 1045
Tim Roughgarden
Potential functions and the inefficiency of equilibria
........................ 1071
Ronitt
Rubinfeld
Sublinear
time algorithms
................................................ 1095
Luca
Trevisan
Pseudorandomness and combinatorial constructions
........................ 1111
16
Numerical analysis and scientific computing
Pavel Bochev and Max Gunzburger*
Least-squares finite element methods
..................................... 1137
Zhiming Chen
A posteriori error analysis and adaptive methods
for partial differential equations
.......................................... 1163
Ricardo
G. Durán
Error estimates for anisotropic finite elements and applications
.............. 1181
Mra Dyn
Linear subdivision schemes for the refinement of geometric objects
.......... 1201
Randall J. LeVeque
Wave propagation software, computational science,
and reproducible research
................................................ 1227
Yvon Maday
Reduced basis method for the rapid and reliable solution
of partial differential equations
........................................... 1255
Endre
Siili
Finite element algorithms for transport-diffusion problems:
stability, adaptivity, tractability
........................................... 1271
17
Control theory and optimization
Vivek S. Borkar
Ergodic control of diffusion processes
..................................... 1299
Contents ix
Stephen Boyd
Convex
optimization of graph Laplacian eigenvalues
....................... 1311
Oleg Yu.
Emanouilov (Imanuvilov)
Controllability of evolution equations of fluid dynamics
.....................1321
Arjan van
der Schaft
Port-Hamiltonian systems: an introductory survey
.......................... 1339
OlofJ.
Staffans
Passive linear discrete time-invariant systems
.............................. 1367
Enrique Zuazua
Control and numerical approximation of the wave and heat equations
........ 1389
18
Application of mathematics in the sciences
Russel
E. Caflisch
Multiscale modeling for epitaxial growth
.................................. 1419
Emmanuel J.
Candes
Compressive
sampling
.................................................. 1433
Vicent Caselles
Total variation based image denoising and restoration
.......................1453
Michael Griebel* and Jan Hamaekers
A wavelet based sparse grid method for the electronic
Schrödinger
equation
.................................................... 1473
Claude
Le Bris
Mathematical and numerical analysis for molecular simulation:
accomplishments and challenges
......................................... 1507
Martin A. Nowak
Evolutionary dynamics of cooperation
.................................... 1523
David Nualart
Fractional Brownian motion: stochastic calculus and applications
............ 1541
Anders Szepessy
Atomistic and continuum models for phase change dynamics
................ 1563
19
Mathematics education and popularization of mathematics
Petar
S.
Kenderov
Competitions and mathematics education
.................................. 1583
Alan Siegel
Understanding and misunderstanding the Third International
Mathematics and Science Study: what is at stake and why
K-12 education studies matter
............................................ 1599
Ian Stewart
Mathematics, the media, and the public
................................... 1631
X
Contents
Michèle
Artigue,
Ehud de Shalit, and Anthony Ralston
Panel
A: Controversial issues
in K-12
mathematical education...............
1645
Lee
Peng Yee,
Jan de Lange,
and William Schmidt
Panel B: What are PISA and TIMSS? What do they tell us?
................. 1663
Fr. Ben
Nebres, Shiu-Yuen Cheng,
Konrad Osterwalder,
and Hung-Hsi Wu
Panel C: The role of mathematicians in K-12 mathematics education
......... 1673
20
History of mathematics
Leo Corry
On the origins of Hubert s sixth problem: physics and the
empiricist approach to axiomatization
..................................... 1697
Niccolò Guicciardini
Method versus calculus in Newton s criticisms of Descartes and Leibniz
...... 1719
Special activity
Sebastià Xambó
Descamps,
Нутап
Bass,
Gilda
Bolaños
Evia,
Ruedi
Seiler, and Mika Seppälä
е
-learning mathematics
.................................................. 1743
Author index
............................................................... 1769
|
| adam_txt |
Contents
10
Ordinary differential equations and dynamical systems
(continued)
Robert Ghrist
Braids and differential equations
. 1
Anton Gorodetski, Brian Hunt and
Vadim
Kaloshin *
Newton interpolation polynomials, discretization method, and certain
prevalent properties in dynamical systems
. 27
Bryna
Kra
From combinatorics to ergodic theory and back again
. 57
Patrice
Le Calvez
From
Brouwer
theory to the study of homeomorphisms of surfaces
. 77
Michael Shub
All, most, some differentiable dynamical systems
. 99
Anton Zorich
Geodesies on flat surfaces
. 121
11
Partial differential equations
Stefano Bianchini
Asymptotic behavior of smooth solutions for partially dissipative
hyperbolic systems and relaxation approximation
. 147
Patrick
Gérard
Nonlinear
Schrödinger
equations in inhomogeneous media:
wellposedness and illposedness of the Cauchy problem
. 157
François Golse
The periodic
Lorentz
gas in the Boltzmann-Grad limit
. 183
Matthew J. Gursky
Conformai
invariants and nonlinear elliptic equations
. 203
Hitoshi Ishii
Asymptotic solutions for large time of Hamilton-Jacobi equations
. 213
Mario Pulvirenti
The weak-coupling limit of large classical and quantum systems
. 229
Ovidiu Savin
Symmetry of entire solutions for a class of
semilinear
elliptic equations
. 257
Sylvia Serfaty
Vortices in the Ginzburg-Landau model of superconductivity
. 267
*In case of several authors, invited speakers are marked with an asterisk.
vi
Contents
Neil
S. Trudinger
Recent
developments in elliptic partial differential equations
of
Monge-Ampère type
. 291
Luis
Vega
The initial value problem for nonlinear
Schrödinger
equations
. 303
Juan J. L. Velazquez
Singular solutions of partial differential equations
modelling cheniotactic aggregation
. 321
12
Mathematical physics
Alberto S. Cattaneo
From topological field theory to deformation quantization and reduction
. 339
Bernard Derrida
Matrix ansatz and large deviations of the density in exclusion processes
. 367
Jean-Michel Maillet
Correlation functions of the XXZ
Heisenberg
spin chain:
Bethe ansatz approach
. 383
Marcos Marino
Gromov-Witten invariants and topological strings: a progress report
. 409
Igor Rodnianski
The Cauchy problem in General Relativity
. 421
Christoph Schweigert*, Jürgen Fuchs, and Ingo
Runkei
Categorification
and correlation functions in
conformai
field theory
. 443
Avy Soffer
Soliton dynamics and scattering
. 459
Cédric Villani
Hypocoercive diffusion operators
. 473
13
Probability and statistics
Anton Bovier
Metastability: a potential theoretic approach
. 499
Raphaël Cerf
On Ising droplets
. 519
Amir Dembo
Simple random covering, disconnection, late and favorite points
. 535
Peter Donnelly
Modelling genes: mathematical and statistical challenges in genomics
. 559
K. David Elworthy* and Xue-Mei Li
Geometric stochastic analysis on path spaces
. 575
Contents
vii
Jianqing Fan* and Kunze
Li
Statistical challenges with high dimensionality: feature selection
in knowledge discovery
. 595
Alice Guionnet
Random matrices and enumeration of maps
. 623
Steven P. Lalley
The weak/strong survival transition on trees and nonamenable graphs
. 637
Yves
Le Jan
New developments in stochastic dynamics
. 649
Peter McCullagh* and Jie Yang
Stochastic classification models
. 669
Andrei Okounkov
Random partitions and
instanton
counting
. 687
Dominique
Picard*
and Gerard Kerkyacharian
Estimation in inverse problems and second-generation wavelets
. 713
Wendelin
Werner
Conformai
restriction properties
. 741
14
Combinatorics
Alexander Barvinok
The complexity of generating functions for integer points
in polyhedra and beyond
. 763
Mireille Bousquet-Mélou
Rational and algebraic series in combinatorial enumeration
. 789
Jim Geelen, Bert Gerards*, and Geoff Whittle
Towards a structure theory for matrices and matroids
. 827
Mark Haiman
Cherednik algebras,
Macdonald
polynomials and combinatorics
. 843
Jeong Han Kim
Poisson
cloning model for random graphs
. 873
Tomasz Łuczak
Randomness and regularity
. 899
Imre
Z. Ruzsa
Additive combinatorics and geometry of numbers
. 911
Francisco Santos
Geometric bistellar flips: the setting, the context and a construction
. 931
Robin Thomas
A survey of Pfaffian orientations of graphs
. 963
viii Contents
15
Mathematical aspects of computer science
Manindra Agrawal
Determinant versus permanent
. 985
Alexander S. Holevo
The additivity problem in quantum information theory
. 999
Jon Kleinberg
Complex networks and decentralized search algorithms
. 1019
Omer
Reingold
On expander graphs and connectivity in small space
. 1045
Tim Roughgarden
Potential functions and the inefficiency of equilibria
. 1071
Ronitt
Rubinfeld
Sublinear
time algorithms
. 1095
Luca
Trevisan
Pseudorandomness and combinatorial constructions
. 1111
16
Numerical analysis and scientific computing
Pavel Bochev and Max Gunzburger*
Least-squares finite element methods
. 1137
Zhiming Chen
A posteriori error analysis and adaptive methods
for partial differential equations
. 1163
Ricardo
G. Durán
Error estimates for anisotropic finite elements and applications
. 1181
Mra Dyn
Linear subdivision schemes for the refinement of geometric objects
. 1201
Randall J. LeVeque
Wave propagation software, computational science,
and reproducible research
. 1227
Yvon Maday
Reduced basis method for the rapid and reliable solution
of partial differential equations
. 1255
Endre
Siili
Finite element algorithms for transport-diffusion problems:
stability, adaptivity, tractability
. 1271
17
Control theory and optimization
Vivek S. Borkar
Ergodic control of diffusion processes
. 1299
Contents ix
Stephen Boyd
Convex
optimization of graph Laplacian eigenvalues
. 1311
Oleg Yu.
Emanouilov (Imanuvilov)
Controllability of evolution equations of fluid dynamics
.1321
Arjan van
der Schaft
Port-Hamiltonian systems: an introductory survey
. 1339
OlofJ.
Staffans
Passive linear discrete time-invariant systems
. 1367
Enrique Zuazua
Control and numerical approximation of the wave and heat equations
. 1389
18
Application of mathematics in the sciences
Russel
E. Caflisch
Multiscale modeling for epitaxial growth
. 1419
Emmanuel J.
Candes
Compressive
sampling
. 1433
Vicent Caselles
Total variation based image denoising and restoration
.1453
Michael Griebel* and Jan Hamaekers
A wavelet based sparse grid method for the electronic
Schrödinger
equation
. 1473
Claude
Le Bris
Mathematical and numerical analysis for molecular simulation:
accomplishments and challenges
. 1507
Martin A. Nowak
Evolutionary dynamics of cooperation
. 1523
David Nualart
Fractional Brownian motion: stochastic calculus and applications
. 1541
Anders Szepessy
Atomistic and continuum models for phase change dynamics
. 1563
19
Mathematics education and popularization of mathematics
Petar
S.
Kenderov
Competitions and mathematics education
. 1583
Alan Siegel
Understanding and misunderstanding the Third International
Mathematics and Science Study: what is at stake and why
K-12 education studies matter
. 1599
Ian Stewart
Mathematics, the media, and the public
. 1631
X
Contents
Michèle
Artigue,
Ehud de Shalit, and Anthony Ralston
Panel
A: Controversial issues
in K-12
mathematical education.
1645
Lee
Peng Yee,
Jan de Lange,
and William Schmidt
Panel B: What are PISA and TIMSS? What do they tell us?
. 1663
Fr. Ben
Nebres, Shiu-Yuen Cheng,
Konrad Osterwalder,
and Hung-Hsi Wu
Panel C: The role of mathematicians in K-12 mathematics education
. 1673
20
History of mathematics
Leo Corry
On the origins of Hubert's sixth problem: physics and the
empiricist approach to axiomatization
. 1697
Niccolò Guicciardini
Method versus calculus in Newton's criticisms of Descartes and Leibniz
. 1719
Special activity
Sebastià Xambó
Descamps,
Нутап
Bass,
Gilda
Bolaños
Evia,
Ruedi
Seiler, and Mika Seppälä
е
-learning mathematics
. 1743
Author index
. 1769 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T15:34:18Z |
| indexdate | 2024-07-09T20:43:23Z |
| institution | BVB |
| institution_GND | (DE-588)6512366-9 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014971506 |
| oclc_num | 635212248 |
| open_access_boolean | |
| owner | DE-824 DE-20 DE-19 DE-BY-UBM DE-703 DE-11 |
| owner_facet | DE-824 DE-20 DE-19 DE-BY-UBM DE-703 DE-11 |
| physical | X, 1770 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | European Mathematical Society Publishing House |
| record_format | marc |
| spelling | International Congress of Mathematicians 2006 Madrid Verfasser (DE-588)6512366-9 aut Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 3 Invited lectures Marta Sanz-Solé [und 3 andere], editors Zürich European Mathematical Society Publishing House 2006 X, 1770 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik (DE-588)4037944-9 gnd rswk-swf Madrid <2006> rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Mathematik (DE-588)4037944-9 s Madrid <2006> s DE-604 Sanz-Solé, Marta 1952- (DE-588)131512218 edt (DE-604)BV021758368 3 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971506&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 Mathematik (DE-588)4037944-9 gnd Madrid <2006> |
| subject_GND | (DE-588)4037944-9 (DE-588)1071861417 |
| title | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_auth | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_exact_search | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_exact_search_txtP | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 |
| title_full | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 3 Invited lectures Marta Sanz-Solé [und 3 andere], editors |
| title_fullStr | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 3 Invited lectures Marta Sanz-Solé [und 3 andere], editors |
| title_full_unstemmed | Proceedings of the International Congress of Mathematicians Madrid, August 22 - 30, 2006 3 Invited lectures Marta Sanz-Solé [und 3 andere], editors |
| title_short | Proceedings of the International Congress of Mathematicians |
| title_sort | proceedings of the international congress of mathematicians madrid august 22 30 2006 invited lectures |
| title_sub | Madrid, August 22 - 30, 2006 |
| topic | Mathematik (DE-588)4037944-9 gnd Madrid <2006> |
| topic_facet | Mathematik Madrid <2006> Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971506&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021758368 |
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