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


Scientific Committee

A. Klein, UC – Irvine
C.M. Newman, Courant Inst.
R. Schonmann, UCLA
V. Sidoravicius, IMPA
H. Spohn, TU-München
A.-S. Sznitman, ETH


Abel Klein

Vladas Sidoravicius.



Anderson Localization, Classical and Quantum Spin Systems Critical Percolation and Conformally Invariant Processes, Disorederd Systems, Polymers and Random Walks in Random Environment

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.



Time/Date Monday Tuesday Wednesday Thursday Friday Saturday
8:00 – 9:45 Gibbs Phase Rule for a Particle System in Rd
E. Presutti
Conformal Invariance of Critical Percolation
S. Smirnov
  3D Young Diagrams and the 3D Ising Wulff Crystal at Low Temperature
R. Cerf
M. Aizenman
Oriented Percolation in a Dependent Environment
M.E. 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
J-M. 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
J-C. 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
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. Jitomirskaya
The Integrated Density of States for Some Random Operators on Rd
P. Hislop
17:00 – 17:15 Coffee Break Coffee Break
(17:35 – 17:50)

Spectral Analysis of Weakly Coupled Stochastic Lattice Ginzburg-Landau Models
P. Da Veiga
(17:50 – 18:35)
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
A. F. 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 CrUnimodal 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
(19:25 – 19:35)
Weak Disorder Localization and Lifshitz Tails
F. Klopp
Supersymmetry and Spectral Theory of Random Schrödinger Operators
W-M. Wang
19:00 -20:35

S e s s i o n s



M. Aizenman Princeton Univ.
M. Balazs Technical Univ., Budapest
F. Baldovin CBPF
A.T. Baraviera IMPA
A.M. 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, Brasil
R. Cerf Univ. Paris XI
E.G.D. Cohen Rockefeller
J-M. Combes Univ. Toulon
M.D. Coutinho-Filho UFPE
G.A.Torres F. da Costa UFSC
P.A. Faria da Veiga USP, Brasil
S.R. Dahmen UFRGS
D. T. Damanik Caltech, USA
E. de Faria USP
B. N. Borges de Lima IMPA, Brasil
W. de Melo IMPA, Brasil
C. R. de Oliveira UFScar, Brasil
B. Duplantier SPhT, CEA Saclay
A. Elgart Princeton Univ., USA
A. Figotin Univ. Of California, Irvine, USA
M. V. Freire USP, Brasil
F. Germinet Univ. Lille I
F. Guerra Univ. Roma I
T. Hara Nagoya University
H. Hermmann 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
M.D. Landrigan Univ. California, USA
G. Lawler Duke University
Y. Le Jan Univ. Paris XI
D.H.U. Marchetti IF/USP
L. Miclos Univ. Paul Sabatier
B.M. Niederhauser USP, Brasil
G. M. Noronha Neto IMPA, Brasil
M.L. O’Carroll UFMG, Brasil
H. Osada Nagoya University
J. Palis IMPA, Brasil
A. Pisztora Carnegie-Mellon
E. Presutti Univ. Roma II
A.F. Ramirez PUC/Chile
J. Ramirez Cornell University
F. Rassoul-Agha Courant Institute
T. L. Rotchie USP, Brasil
L.T. Rolla UFMG, Brasil
Y. Saint-Aubin Montreal Univ.
R. de Paiva Sanchiz UFMG, Brasil
H. Schulz-Baldes Univ. California, Irvine
N.R. Shieh National Univ. of Taiwan
V. Sidoravicius IMPA, Brasil
R. Sims PUC/Chile
S. Smirnov KTH
G. Stolz Alabama Univ.
Y. Suhov Cambridge, UK
F.L. Toninelli PUC/Chile
A. Toom UFPE
C. Tsallis CBPF, Brasil
G. Valle da Silva Coelho PUC/Chile
M.E. Vares IMPA
G.L. Vasconcelos UFPE
W.-M. Wang Univ. Paris XI
J. Wierman J.Hopkins Univ.
J.M. Woo Univ. Southern California, USA
J.-C. Yoccoz Collége de France
H.J. Yoo Tokyo Inst. Technology



Registration Fee

R$ 30,00
Others (due upon arrival at the Conference)
U$ 50.00



The Workshop on Mathematical Physics will take place at the Hotel do Bosque in Mambucaba, Rio de Janeiro.


Department of Scientific Activities
IMPA, Estrada Dona Castorina 110
22460-320 Rio de Janeiro, Brazil
Fax: +55 (21) 529-5019