Workshop on Mathematical Physics
Mambucaba, August 19 – 25, 2001
- Anderson Localization, Classical and Quantum Spin Systems
- Critical Percolation and Conformally Invariant Processes
- Disordered Systems, Polymers and Random Walks in Random Environment
- Homogenization and granular media
The goals of the workshop are to bring together researchers in mathematical physics, probability, dynamical systems, complex analysis and combinatorics, to describe recent results and methods, and promote future advances.
Plenty of time will be reserved for informal interaction among participants. Weather in the region in August is usually very pleasant, and one afternoon will be left free, allowing participants to enjoy the area, boat excursion or to visit the historical city of Paraty.
Scientific Committee
A. Klein, UC – Irvine
CM Newman, Courant Inst.
R. Schonmann, UCLA
V. Sidoravicius, IMPA
H. Spohn, TU-Munich
A.-S. Sznitman, ETH
Organizers
Abel Klein
Vladas Sidoravicius.
Schedule
| Time/Date | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
| 8:00 – 9:45 | Gibbs Phase Rule for a Particle System in R d E. Presutti |
Conformal Invariance of Critical Percolation S. Smirnov |
3D Young Diagrams and the 3D Ising Wulff Crystal at Low Temperature R. Cerf |
TBA M. Aizenman |
Oriented Percolation in a Dependent Environment ME Vares |
|
| 9:50 – 10:35 | Stochastic Löwner Evolution and the Self-Avoiding Walk G. Lawler |
Ergodicity of 2D Turbulence A. Kupiainen |
Morphology of Dunes H. Herrmann |
Kraichnan Caricature of Turbulence and Stochastic Flows Y. Le Jan |
TBA JM. Combes |
|
| 10:35 – 10:55 | Coffee Break | |||||
| 10:55 – 11:40 | Sticky Particle Systems with Random Initial Velocities J. Bertoin |
Triviality of Hierarchical Ising Model in Four Dimensions T. Hara |
Stretched Exponential Fixation in Stochastic Ising Models at Zero Temperature V. Sidoravicius |
Spectral Theory and Oscillatory Integrals in Non-Linear Wave Interaction A. Figotin |
Asymptotics of Equilibrium Probabilities for a Random Walk in One-Eight of a Square Lattice Y. Suhov |
|
| 11:45 – 12:30 | Non-Uniformly Hyperbolic Horseshoes JC. Yoccoz |
Green's Function Estimates for Lattice Schrödinger Operators and the Kicked Rotor Problem J. Bourgain |
Rigorous Results in the Mean Field Spin Glass Model F. Guerra |
On the Scaling Behavior of Certain Quantities in Regular and Invasion Percolation A. Pisztora |
TBA B. Duplantier |
|
| 12:30 – 16:15 | Lunch | |||||
| 16:15 – 17:00 | Motion of a Particle in a Random Medium E. Cohen |
Nonextensive Statistical Mechanics – What Can We Do with Kolmogorov-Sinai Entropy, Lyapunov Exponents and Related Concepts at the Edge of Chaos? C. Tsallis |
Approach to Equilibrium for a Forced Burgers Equation W. Kirsch (16:00 -16:45) |
Positive Lyapunov Exponents and Continuity of Spectra of Quasiperiodic Operators S. Zitomirskaya |
The Integrated Density of States for Some Random Operators on R d P. Hislop |
|
| 17:00 – 17:15 | Coffee Break | Coffee Break (17:35 – 17:50) Spectral Analysis of Weakly Coupled Stochastic Lattice Ginzburg-Landau Models |
Coffee Break | |||
| 17:15 – 18:00 | The Insulator Regime for Random Schrödinger Operators A. Klein |
Quenched-Annealed Transition for Some Stochastic Processes in Random Environment AF Ramírez |
Critical Probability Bounds for Archimedian Lattices J. Wierman (16:50 -17:35) |
Lower Bounds for N-Particle Hamiltonians M. O'Carroll |
Hyperbolicity of Renormalization for C r Unimodal Maps E. de Faria |
|
| 18:05 – 18:50 | Order Parameter for the Anderson Metal-Insulator Transport Transition F. Germinet |
Critical Behavior of the Two-Dimensional Ising Model at the Boundary of a Half-Infinite Cylinder Y. Saint-Aubin |
Localization and Delocalization in Random Polymer Chains G. Stolz (18:40 – 19:25) Small Break |
Weak Disorder Localization and Lifshitz Tails F. Klopp |
Supersymmetry and Spectral Theory of Random Schrödinger Operators WM. Wang |
|
| 19:00 -20:35 |
Sessions |
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Planry
Errico Presutti (Univ. di Roma Tor Vergata) – Gibbs phase rule for a particle system in Rd
Gregory Lawler (Duke Univ) – Stochastic Löwner evolution and the self-avoiding walk
Jean Bertoin (Univ. Paris VI) – Sticky particle systems with Random initial velocities
Jean-Christophe Yoccoz (Collège de France) – Non-uniformly hyperbolic horseshoes
Eddie Cohen (The Rockefeller Univ.) – Motion of a particle in a Random medium
Abel Klein (Univ. of Cal. Irvine) – The insulator regime for Random Schrödinger operators
François Germinet (Univ. de Lille 1) – Order parameter for the Anderson metal-insulator transport transition
Stanislav Smirnov (KTH Royal Inst.Tech) – Conformal invariance of critical percolation
Antti Kupiainen (Univ. of Helsinki) – Ergodicity of 2D turbulence
Takashi Hara (Nagoya Univ.) – Triviality of hierarchical ising model in four dimensions
Jean Bourgain (IAS Princeton) – Green's function estimates for lattice Schrödinger operators and the kicked rotor problem
Constantino Tsallis (CBPF) – Nonextensive statistical mechanics – what can we do with Kolmogorov-Sinai entropy Lyapunov exponents and related concepts at the edge of Chaos?
Alejandro Ramirez (Pontificia Univ. Católica do Chile) – Quenched-annealed transition for some stochastic processes in Random environment
Yvan Saint-Aubin (Univ. Montreal) – Critical behavior of the two-dimensional ising model at the boundary of a half-infinite cylinder
Werner Kirsch (Ruhr Univ. Bochum) – Approach to equilibrium for a forced Burgers equation
John Wierman (John Hopkins Univ.) – Critical probability bounds for archimedian lattices
Gunter Stolz (Univ. Alabama, Birmingham) – Localization and delocalization in Random polymer chains
Raphael Cerf (Univ. Paris-Sud, Orsay) – 3D young diagrams and the 3D ising Wulff crystal at low temperature
Svetlana Jitomirskaya (Univ. of Cal, Irvine) – Positive Lyapunov exponents and continuity of spectra of quasiperiodic operators
Vladas Sidoravicius (IMPA) – Stretched exponential fixation in stochastic ising models at zero temperature
Francesco Guerra (Univ. di Roma, La Sapienza) – Rigorous results in the mean field Spin glass model
Paulo da Veiga (USP de S. Carlos) – Spectral analysis of weakly coupled stochastic lattice Ginzburg-Landau models
Frederic Klopp (Univ. Paris-Nord) – Weak disorder localization and Lifshitz tails
Michael O'Carroll (Univ.Fed. Minas Gerais) – Lower bounds for N-particle Hamiltonians
Michael Aizenman (Princeton Univ) – On some statistical-mechanical aspects of the Anderson localization
Yves Le Jan (Univ. Paris Sud) – Kraichnan caricature of turbulence and stochastic flows
Alex Figotin (Univ. Cal., Irvine) – Spectral theory and oscillatory integrals in non-linear wave interaction
Agoston Pisztora (Carnegie-Mellon University) – On the scaling behavior of certain quantities in regular and invasion percolation
Peter Hislop (Univ. of Kentucky) – The integrated density of states for some Random operators on Rd
Domingos Marchetti (IME/USP) – Complex function characterization of measures possessing Lee-Yang property
Wei-Min Wang (Univ. Paris Sud – Orsay) – Supersymmetry and spectral theory of Random Schrödinger operators
Maria Eulália Vares (IMPA) – Oriented percolation in a dependent environment
Jean-Michel Combes (Centre de Physique Theorique, Luminy) – Properties of Quantum Hall Hamiltonians
Yurii Suhov (Univ. of Cambridge) – Asymptotics of equilibrium probabilities for a Random walk in one-eight of a square lattice
Sessions
David Damanik (Univ. of Cal. Irvine) – Spectral and dynamical properties of sturmian Hamiltonians
Federico Camia (Courant Inst.-NYU) – Cluster structure in zero-temperature stochastic ising model
Cesar R. de Oliveira (UFSCAR) – Spectrum of almost periodic dimers
Gustavo A. da Costa (Univ. Fed. Sta.Catarina) – Feynman identity: A special case
José Ramirez (Cornell University) – Short time asymptotics of symmetric semigroups associated with local dirichlet forms
Giovani Vasconcelos (Federal University of Pernambuco) – Large geometrical models for granular flow
Michael Campbell (Univ. Cal. Irvine) – Energy correlations in O(N) models and the Wolff representation
Vladimir Belitsky (IME/USP) – Uniqueness of Gibbs state for non-ideal gas in R d : the case of multi-body interaction
Alexander Elgart (Princeton University) – Adiabatic theorem and Kubo formula for dense point spectrum
Silvio Renato Dahmen (Univ.Fed.Rio G. do Sul) – Directed percolation and the Lee-Yang theory
Hirofumi Osada (Nagoya Univ.) – Interacting brownian motions with logarithmic potentials
Narn-Rueih Shieh (Nat. Taiwan Univ.) – Multifractals on Galton-Watson trees
Hermann Shulz-Baldes (Univ. Cal., Irvine) – Delocalization for one-dimensional Random operators
Marton Balazs (Inst. Math. TU, Budapest) – Structure of the shock in a new domain growth model
Alexandre Baraviera (IMPA) – Robust non uniform hyperbolicity for volume preserving maps
Mauricio D. Coutinho-Filho (Univ.Fed. Pernambuco) – Field theory and statistical mechanics of quantum ferromagnetic Spin chains
Aniura Barrientos (IMPA) – Some results about a two-dimensional version of the generalized BO
Yoo, Hyun Jae (Tokyo Inst. of Tech.) – Fermion Random point fields as Gibbs measures and an application
Robert Sims (Univ. of Alabama, Birmingham) – Fractional moment methods for finite rank perturbations
Michael Landrigan (Univ. of Cal. Irvine) – Log continuity for Sturmian Hamiltonians
Jung Ming Woo (Univ. of Southern Cal.) – A Gaussian behavior of Random conductivities on hierarchical lattices
Firas Rassoul-Agha (Courant Inst. NYU) – Rwre: particle story
Dirk Hundertmark (CALTECH) – A diamagnetic inequality for semigroup differences
Fulvio Baldovin (CBPF) – Nonstandard mixing in the standard map
Rémy Sanchis (Univ. Fed. Minas Gerais) – Analysis of the d-dimensional bond percolation probability around p – 1
Laurent Miclo (Univ. Paul Sabatier) – On projection of logarithmic Sobolev inequalities
Andrei Toom (Univ. Fed. Pernambuco) – On critical values for some Random processes with local interaction in a plane
Beat Niederhauser (IME/USP) – Phase transition in the Hopfield Model with p-Spin interactions
Participants
M. Aizenman Princeton Univ.
M. Balazs Technical Univ., Budapest
F. Baldovin CBPF
AT Baraviera IMPA
AM Barrientos IMPA
V. Belitsky IME/USP
J. Bertoin Université Paris VI
J. Bourgain Princeton IAS
F. Camia Courant Institute
M. Campbell Univ. California, Irvine
F. Castellares USP, Brazil
R. Cerf Univ. Paris XI
E.G.D. Cohen Rockefeller
JM. Combes Univ. Toulon
MD Coutinho-Filho UFPE
GATorres F. da Costa UFSC
PA Faria da Veiga USP, Brazil
SR Dahmen UFRGS
DT Damanik Caltech, USA
E. de Faria USP
BN Borges de Lima IMPA, Brazil
W. de Melo IMPA, Brazil
CR de Oliveira UFScar, Brazil
B. Duplantier SPhT, CEA Saclay
A. Elgart Princeton Univ., USA
A. Figotin Univ. Of California, Irvine, USA
MV Freire USP, Brazil
F. Germinet Univ. Lille I
F. Guerra Univ. Rome I
T. Hara Nagoya University
H. Hermann ESPCI Paris
P. Hislop Kentucky Univ.
D. Hundertmark Caltech, USA
S. Jitomirskaya UC – Irvine
J.-H. Kim Yonsei Univ.
W. Kirsch Bochum Univ.
A. Klein UC – Irvine
F. Klopp Univ. Paris XIII
A. Kupiainen Univ. Helsinki
MD Landrigan Univ. California, USA
G. Lawler Duke University
Y. Le Jan Univ. Paris XI
DHU Marchetti IF/USP
L. Miclos Univ. Paul Sabatier
BM Niederhauser USP, Brazil
GM Noronha Neto IMPA, Brazil
ML O'Carroll UFMG, Brazil
H. Osada Nagoya University
J. Palis IMPA, Brazil
A. Pisztora Carnegie-Mellon
E. Presutti Univ. Roma II
AF Ramirez PUC/Chile
J. Ramirez Cornell University
F. Rassoul-Agha Courant Institute
TL Rotchie USP, Brazil
LT Rolla UFMG, Brazil
Y. Saint-Aubin Montreal Univ.
R. de Paiva Sanchiz, UFMG, Brazil
H. Schulz-Baldes Univ. California, Irvine
NR Shieh National Univ. of Taiwan
V. Sidoravicius IMPA, Brazil
R. Sims PUC/Chile
S. Smirnov KTH
G. Stolz Alabama Univ.
Y. Suhov Cambridge, UK
FL Toninelli PUC/Chile
A. Toom UFPE
C. Tsallis CBPF, Brazil
G. Valle da Silva Coelho PUC/Chile
ME Vares IMPA
GL Vasconcelos UFPE
W.-M. Wang Univ. Paris XI
J. Wierman J. Hopkins Univ.
JM Woo Univ. Southern California, USA
J.-C. Yoccoz Collége de France
HJ Yoo Tokyo Institute of Technology
Registration Fee
Students
R$ 30.00
Others (due upon arrival at the Conference)
US$ 50.00
Accommodations
The Workshop on Mathematical Physics will take place at the Hotel do Bosque in Mambucaba, Rio de Janeiro.
Department of Scientific Activities
dac@impa.br
IMPA, Estrada Dona Castorina 110
22460-320 Rio de Janeiro, Brazil
Fax: +55 (21) 529-5019