Logo

Mathematical Sciences Research Institute

Home » Percolation and Interacting Systems

Workshop

Percolation and Interacting Systems February 20, 2012 - February 24, 2012
Registration Deadline: February 20, 2012 about 2 years ago
To apply for Funding you must register by: November 20, 2011 over 2 years ago
Parent Program: Random Spatial Processes
Organizers Geoffrey R. Grimmett (University of Cambridge), Eyal Lubetzky* (Microsoft Research), Jeffrey Steif (Chalmers University of Technology), and Maria E. Vares (Centro Brasileiro de Pesquisas Físicas)
Speaker(s)

Show List of Speakers

Description

Over the last ten years there has been spectacular progress in the understanding of geometrical properties of random processes. Of particular importance in the study of these complex random systems is the aspect of their phase transition (in the wide sense of an abrupt change in macroscopic behavior caused by a small variation in some parameter) and critical phenomena, whose applications range from physics, to the performance of algorithms on networks, to the survival of a biological species.

Recent advances in the scope of rigorous scaling limits for discrete random systems, most notably for 2D systems such as percolation and the Ising model via SLE, have greatly contributed to the understanding of both the critical geometry of these systems and the behavior of dynamical stochastic processes modeling their evolution. While some of the techniques used in the analysis of these systems are model-specific, there is a remarkable interplay between them. The deep connection between percolation and interacting particle systems such as the Ising and Potts models has allowed one model to successfully draw tools and rigorous theory from the other.

The aim of this workshop is to share and attempt to push forward the state-of-the-art understanding of the geometry and dynamic evolution of these models, with a main focus on percolation, the random cluster model, Ising and other interacting particle systems on lattices.

Bibliography (PDF)

 

 


Accommodation:
A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.

A block of rooms has been reserved at the Hotel Durant. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is Midnight on the day of Tuesday, January 24, 2012. The rate is $110 per night plus tax.

MSRI has a preferred rate of $142 at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI rate; or go to

Hotel Shattuck Plaza

and enter dates of stay at top of screen and click Book Now.  Once on the reservation page, click Preferred/Corporate Rate Accounts and input the code "MSRI11".

 


Funding & Logistics Show All Collapse

Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

Show Directions to Venue

Show Visa/Immigration

Schedule
Show All Collapse
Feb 20, 2012
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Mini-course, Part I: The 2D random-cluster model at and around criticality
Vincent Beffara
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Ferromagnetic Ising measures on large locally tree-like graphs
Amir Dembo
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Embedding Percolation
Alexander Holroyd
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Magnetization field at criticality in the Ising mode
Christophe Garban
Feb 21, 2012
Tuesday
09:30 AM - 10:30 AM
  Mini-course, Part II: The 2D random-cluster model at and around criticality
Vincent Beffara
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Aging Through Hierarchical Coalescence in the East Model
Fabio Martinelli
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Coordinate Percolation
Peter Winkler (Dartmouth College)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Coordinate percolation and embedding of binary words - Vladas Sidoravicius
04:45 PM - 06:45 PM
  Reception
Feb 22, 2012
Wednesday
09:00 AM - 10:00 AM
  Mini-course, Part III: The 2D random-cluster model at and around criticality
Vincent Beffara
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Unpredictable paths and percolation
Yuval Peres (University of California, Berkeley)
11:45 AM - 12:45 PM
  Colloids, Lattice Gasses, and Other Models with Hard Constraints
Dana Randall (Georgia Institute of Technology)
Feb 23, 2012
Thursday
09:30 AM - 10:30 AM
  Mini-course, Part IV: The 2D random-cluster model at and around criticality
Vincent Beffara
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Interacting Probability Experts on Networks
Elchanan Mossel (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Random walks on a percolation cluster: recurrence, speed and collisions.
Dayue Chen
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The dynamics of the 2D SOS model
Allan Sly
Feb 24, 2012
Friday
09:30 AM - 10:30 AM
  Mini-course, Part V: The 2D random-cluster model at and around criticality
Vincent Beffara
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Limit shapes in the double-Ising model
Richard Kenyon (Brown University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Percolation on Random Planar Maps
Omer Angel
03:00 PM - 03:30 PM
  Tea