New Trends in Mathematical Physics
The XV-th International Congress on Mathematical Physics took place in Rio de Janeiro, on August 5-11, 2006. I believe it was a very successful and enjoyable meeting. It is very fortunate for our community that Latin America, and especially Brazil, in decades has become the place where all ?elds of intellectual activity which are traditionally regarded as part of Mathematical Physics are developing with steady pace and remarkable quality. Another important aspect of this devel- mentis thatbesidesareaswhichalreadyhaveworldwiderecognitionandlongsta- ing tradition in Brazil such as Dynamical Systems, Statistical Mechanics, Probab- ity Theory, etc. , there is intensive growth in other directions such as String Theory and Algebraic Geometry. Brazil's major universities and research institutes such as IMPA and CBPF are successfully bringing up a new generation of researchers in our ?eld. Thus it was especially pleasant to see that among more than 500 participants of the Congress, the majority was constituted by young researchers and graduate students. Given the enormous range of subjects covered during the Congress, and the - versity of scienti?c contributions, it would be pointless to summarize the contents here-the quality is re?
ected in these pages. Traditionally, besides its very intense scienti?c program, the Congress was the occasion for the award of the Henri Poincare Prizes of the IAMP, sponsored by the Daniel Iagolnitzer Foundation. The Laureates for the year 2006 were Ludwig Faddeev, David Ruelle and Edward Witten.
Entropy of Eigenfunctions.- Stability of Doubly Warped Product Spacetimes.- Rigorous Construction of Luttinger Liquids Through Ward Identities.- New Algebraic Aspects of Perturbative and Non-perturbative Quantum Field Theory.- Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions.- Mathematical Issues in Loop Quantum Cosmology.- Boundary Effects on the Interface Dynamics for the Stochastic Allen–Cahn Equation.- Dimensional Entropies and Semi-Uniform Hyperbolicity.- The Scaling Limit of (Near-)Critical 2D Percolation.- Black Hole Entropy Function and Duality.- Weak Turbulence for Periodic NLS.- Angular Momentum-Mass Inequality for Axisymmetric Black Holes.- Almost Everything About the Fibonacci Operator.- Entanglement-Assisted Quantum Error-Correcting Codes.- Particle Decay in Ising Field Theory with Magnetic Field.- Fluctuations and Large Deviations in Non-equilibrium Systems.- Robust Heterodimensional Cycles and Tame Dynamics.- Hamiltonian Perturbations of Hyperbolic PDEs: from Classification Results to the Properties of Solutions.- Lattice Supersymmetry from the Ground Up.- Convergence of Symmetric Trap Models in the Hypercube.- Spontaneous Replica Symmetry Breaking in the Mean Field Spin Glass Model.- Surface Operators and Knot Homologies.- Conformal Field Theory and Operator Algebras.- Diffusion and Mixing in Fluid Flow: A Review.- Random Schrödinger Operators: Localization and Delocalization, and All That.- Unifying R-Symmetry in M-Theory.- Stable Maps are Dense in Dimensional One.- Large Gap Asymptotics for Random Matrices.- On the Derivation of Fourier’s Law.- Noncommutative Manifolds and Quantum Groups.- Topological Strings on Local Curves.- Repeated Interaction Quantum Systems.- String-Localized Quantum Fields, ModularLocalization, and Gauge Theories.- Kinks and Particles in Non-integrable Quantum Field Theories.- Exponential Decay Laws in Perturbation Theory of Threshold and Embedded Eigenvalues.- Energy Diffusion and Superdiffusion in Oscillators Lattice Networks.- Trying to Characterize Robust and Generic Dynamics.- Dynamics of Bose-Einstein Condensates.- Locality Estimates for Quantum Spin Systems.- On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum.- Energy Current Correlations for Weakly Anharmonic Lattices.- Metastates, Translation Ergodicity, and Simplicity of Thermodynamic States in Disordered Systems: an Illustration.- Random Matrices, Non-intersecting Random Walks, and Some Aspects of Universality.- Homogenization of Periodic Differential Operators as a Spectral Threshold Effect.- ABCD and ODEs.- Nonrational Conformal Field Theory.- Kinetically Constrained Models.- The Distributions of Random Matrix Theory and their Applications.- Hybrid Formalism and Topological Amplitudes.- Quantum Phases of Cold Bosons in an Optical Lattice.- Random Walks in Random Environments in the Perturbative Regime.
| Zusatzinfo | XLII, 872 p. |
|---|---|
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| ISBN-10 | 90-481-2809-9 / 9048128099 |
| ISBN-13 | 978-90-481-2809-9 / 9789048128099 |
| Zustand | Neuware |
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