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This volume features selected and peer-reviewed articles from the
Pan-American Advanced Studies Institute (PASI). The chapters are
written by international specialists who participated in the
conference. Topics include developments based on breakthroughs in
the mathematical understanding of phenomena describing systems in
highly inhomogeneous and disordered media, including the KPZ
universality class (describing the evolution of interfaces in two
dimensions), random walks in random environment and percolative
systems. PASI fosters a collaboration between North American and
Latin American researchers and students. The conference that
inspired this volume took place in January 2012 in both Santiago de
Chile and Buenos Aires. Researchers and graduate students will find
timely research in probability theory, statistical physics and
related disciplines.
1. N. Anantharaman, H. Koch, S. Nonnenmacher, Entropy of
Eigenfunctions 2. G. Benfatto, Rigorous construction of Luttinger
liquids through Ward identities 3. C. Bergbauer, D. Kreimer, New
algebraic aspects of perturbative and non-perturbative Quantum
Field Theory 4. P. Bleher, Exact solution of the Six-vertex model
with domain wall boundary conditions 5. M. Bojowald, mathematical
issues in loop quantum cosmology 6. L. Bertini, S. Brassesco, P.
Butta, Boundary effects on the interface dynamics for the
stochastic Allen-Cahn equation. 7. J. Buzzi, Dimensional entropies
and semi-uniform hyperbolicity 8. F. Camia, The scaling limit of
(Near-) critical 2D percolation 9. G.L. Cardoso, Black hole entropy
function and duality 10. J. Colliander, Weak turbulence for
periodic NLS 11. S. Dain, Angular momentum-mass inequality for
axisymmetric black holes 12. D. Damanik, Almost everything about
the Fibonacci operator 13. I. Davetak, T. Brun, M.-H. Hsieh,
Entanglement-assisted quantum error-correcting codes 14. G.
Delfino, Particle decay in Ising field theory with magnetic field
15. B. Derrida, Fluctuations and large deviations in
non-equilibrium systems 16. L. Diaz, Robust heterodimensional
cycles and tame dynamics 17. B. Dubrovin, Hamiltonian perturbations
of hyperbolic PDEs: from classification results to the properties
of solutions 18. P. Fendley, K. Schoutens, Lattice supersymmetry
from the ground up 19. L.R.G. Fontes, P.H.S. Lima, Convergence of
symmetric trap models in the hypercube 20. F. Guerra, Spontaneous
replica symmetry breaking in the mean field spin glass model 21. S.
Gukov, Surface Operators and Knot Homologies 22. Y. Kawahigashi,
Conformal Field Theory and Operator Algebras. 23. A. Kiselev,
Diffusion and mixing in fluid flow: a review 24. F. Germinet, A.
Klein, Random Schrodingeroperators: Localization and
delocalization, and all that 25. A. Kleinschmidt, Unifying
R-symmetry in M-theory 26. O. Kozlovski, S. van Strien, Stable maps
are dense in dimension one 27. I. Krasovsky, large gap asymptotics
for random matrices 28. G. Landi, Noncommutatiove manifolds and
quantum groups 29. M. Marinho, Topological strings on local curves
30. M. Merkli, Repeated interaction quantum systems 31. J. Mund,
String-localized quantum fields, modular localization, and gauge
theories 32. G. Mussardo, Kinks and particles in non-integrable
Quantum Field Theory 33. A. Jensen, G. Nenciu, Exponential decay
laws in perturbation theory of threshold an embedded eigenvalues
34. S. Olla, Energy diffusion and superdiffusion in oscillators
lattice networks 35. E.R. Pujals, Trying to characterize robust and
generic dynamics 36. B. Schlein, Dynamics of Bose-Einstein
condensates 37. B. Nachtergaele, R. Sims, Locality estimates for
quantum spin systems 38. A. Soshnikov, On reseolvent identities in
Gaussian ensembles at the edge of the spectrum 39. H. Spohn, Energy
current correlations for weakly anharmonic lattices 40. C.M.
Newman, D.L. Stein, Metastates, translation ergodicity, and
simplicity of thermodynamic states in disordered systems: an
illustration 41. M.Sh. Birman, T.A. Suslina, Homogenization of
periodic differential operators as a spectral threshold effect 42.
P. Dorey, C. Dunning, D. Masoero, J. Suzuki, R. Tateo, ABCD and
ODEs 43. J. Teschner, Nonrational conformal field theory 44. C. A.
Tracy, H. Widom, The distributions of random matrix theory and
their applications 45. J. Kappeli, S. Theisen, P. Vanhove, Hybrid
formalism and topological amplitudes 46. M. Aizenman, E.H. Lieb, R.
Seiringer, J.P. Solovej, J. Yngvason, Quantum phases of cold bosons
in an optical lattice 47. O. Zeitouni, R
This volume features selected and peer-reviewed articles from
the Pan-American Advanced Studies Institute (PASI). The chapters
are written by international specialists who participated in the
conference. Topics include developments based on breakthroughs in
the mathematical understanding of phenomena describing systems in
highly inhomogeneous and disordered media, including the KPZ
universality class (describing the evolution of interfaces in two
dimensions), random walks in random environment and percolative
systems. PASI fosters a collaboration between North American and
Latin American researchers and students. The conference that
inspired this volume took place in January 2012 in both Santiago de
Chile and Buenos Aires. Researchers and graduate students will find
timely research in probability theory, statistical physics and
related disciplines.
This volume consists of a collection of invited articles, written
by some of the most distinguished probabilists, most of whom were
personally responsible for advances in the various subfields of
probability. Graduate students and researchers in probability
theory and math physics will find this book a useful reference.
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.
This volume celebrates the tenth edition of the Brazilian School of
Probability (EBP), held at IMPA, Rio de Janeiro, from July 30 to
August 4, 2006, jointly with the 69th Annual Meeting of the
Institute of Mathematical Statistics. It was indeed an exceptional
occasion for the local community working in this ?eld. The EBP,
?rst envisioned and organized in 1997, has since developed into an
annual meeting with two or three advanced mini-courses and a high
level conference. This volume grew up from invited or contributed
articles by researchers that during the last ten yearshave been
participating in the BrazilianSchool of Pro- bility. As a
consequence, its content partially re?ects the topics that have
pred- inated in the activities during the various editions of the
School, with a strong - peal that comes from statistical mechanics
and areasof concentrationthat include interacting particlesystems,
percolation, random media anddisordered systems. All articles of
this volume were peer-refereed.
The intersection of probability and physics has been a rich and
explosive area of growth in the past two decades, specifically
covering such subjects as percolation theory, random walks,
interacting particle systems, and various topics related to
statistical mechanics. In the last several years, substantial
progress has been made in a number of directions: fluctuations of
2-dimensional growth processes, Wulf constructions in higher
dimensions for percolation, Potts and Ising models, classification
of random walks in random environments, the introduction of the
stochastic Loewner equation, the rigorous proof of intersection
exponents for planar Brownian motion, and finally the proof of
conformal invariance for critical percolation on the triangular
lattice. This volume consists of a collection of invited articles,
written by some of the most distinguished probabilists in the
above-mentioned areas, most of whom were personally responsible for
advances in the various subfields of probability. All of the
articles are an outgrowth of the Fourth Brazilian School of
Probability, held in Mambucaba, Brazil, August 2000. Contributors:
K. Alexander * J.M. AzaAs * J. van den Berg * T. Bodineau * F.
Camia * N. Cancrini * G. Grimmett * P. Hiemer * A.E. Holroyd * H.
Kesten * G.F. Lawler * T.M. Liggett * J. Lorinczi * F. Martinelli *
C. M. Newman * J. Quastel * C.-E. Pfister * M. PrAhofer * C.
Roberto * O. Schramm * V. Sidoravicius * H. Spohn * A. Toom * B.
TA3th * D. Ueltschi * W. Werner * M. Wschebor * M. WA1/4thrich
Graduate students and researchers in probability theory and math
physics will find this book a useful reference.
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