International workshop

 

Universality and Scaling Limits in Probability and Statistical Mechanics

 

August 30 – September 3, 2010, @ Hokkaido University

 

 

 

 

 

Contents

1.          Summary

2.          Venue

3.          Time frame

4.          Guest speakers

5.          Practical information

 

 

1.        Summary

Universality is an important notion often associated with phase transitions and critical phenomena.  It appears not only in statistical physics, but in probability as well.  An invariance principle for simple random walk on different transitive lattices is an example: their scaling limits are the same Brownian motion.  We are getting better understanding of the notion in two dimensions and in dimensions higher than the upper-critical dimension, but are still almost ignorant in our three dimensions, in particular.  It is due to the lack of knowledge in dealing with a system of strongly correlated random variables.  It is therefore of great importance to develop any kinds of methodologies to foster our knowledge, no matter whether they are related or not so directly related to universality or scaling limits, and to do so, we must get together and share ideas about potential problems.

 

The aim of this workshop is to invite active researchers and Ph.D students from various countries, have them present their work (in progress) or ambitious future problems, and most importantly, get to know each other better in summer Hokkaido!

 

This workshop is a satellite meeting of the 34th Conference on SPA in Osaka from Sept 6 – 10, 2010.  It is supported in part by the start-up fund of L-Station at Hokkaido University, in part by the JSPS Grant-in-Aid for Young Scientists (B), and in part by the JSPS Grant-in-Aid for Scientific Research (A) (PI: Professor Shigeki Aida of Tohoku University).

 

 

2.        Venue

Science Bldg. #3, Room 205 (see the campus map)

 

 

3.        Time frame (40min/talk, free Wednesday afternoon)

An opening address will begin at 9:30 on August 30.

 

 

Aug. 30

Aug. 31

Sept. 1

Sept. 2

Sept. 3

  9:40 – 10:20

Sasamoto

Takei

Chiba

Hulshof

Cotar

10:30 – 11:10

Nagahata

Dommers

Nakashima

Heydenreich

Lacoin

11:20 – 12:00

Sasada

Giardinà

Fukushima

Luczak

Pétrélis

12:00 – 15:00

Break

Break

Free

Break

Free

15:00 – 15:40

Holmes

Sun

Free

Angel

Free

15:50 – 16:30

Chen

Athreya

Free

Suzuki

Free

16:40 – 17:20

Shiraishi

D’Auria

Free

Miermont

Free

 

 

4.        Guest speakers

Omer Angel (University of British Columbia, Canada)

Signed sorting networks.

 

Siva Athreya (ISI Bangalore, India)

Brownian motion on R trees.

 

Lung-Chi Chen (Fu-Jen Catholic University, Taiwan)

The gyration radius for long-range oriented percolation and self-avoiding walk.

 

Hayato Chiba (Kyushu University, Japan)

Bifurcation theory of the infinite-dimensional Kuramoto model.

 

Codina Cotar (TU-München, Germany)

Random gradient models.

 

Bernardo D’Auria (Universidad Carlos III de Madrid, Spain)

Markov-modulated two-sided Skorohod reflection of Brownian motion.

 

Sander Dommers (TU-Eindhoven, Netherlands)

Ising models on power-law random graphs.

 

Ryoki Fukushima (Tokyo Institute of Technology, Japan)

On exponential growth for a certain class of linear systems.

 

Cristian Giardinà (Modena & Reggio Emilia University, Italy)

Stability of the quenched measure and universal identities in disordered spin systems.

 

Markus Heydenreich (Vrije Universiteit Amsterdam, Netherlands)

Properties of random walk on (high-dimensional) incipient infinite cluster.

 

Mark Holmes (University of Auckland, New Zealand)

A combinatorial result with applications to random walks.

 

Tim Hulshof (TU-Eindhoven, Netherlands)

Properties of the IIC of high-dimensional percolation.

 

Hubert Lacoin (Università di Roma Tre, Italy)

Crossing a repulsive interface: slowing of the dynamic and metastability phenomenon.

 

Malwina Luczak (London School of Economics and Political Science, UK)

Concentration of measure for degrees of vertices in web graphs.

 

Grégory Miermont (Universite Paris-Sud, France)

Scaling limits of random planar maps with large faces.

 

Yukio Nagahata (Osaka University, Japan)

Spectral gap for multi-species exclusion processes.

 

Makoto Nakashima (Kyoto University, Japan)

On the behavior of the population density of branching random walk in random environment.

 

Nicolas Pétrélis (Université de Nantes, France)

A polymer in a multi interface medium.

 

Makiko Sasada (University of Tokyo, Japan)

Hydrodynamic limit for exclusion processes with velocity.

 

Tomohiro Sasamoto (Chiba University, Japan)

Maximum of Dyson Brownian motion and TASEP.

 

Daisuke Shiraishi (Kyoto University, Japan)

Exact value of the resistance exponent for four dimensional random walk trace.

 

Rongfeng Sun (National University of Singapore, Singapore)

Stochastic flows of kernels in the Brownian web and the Brownian net.

 

Hiroyuki Suzuki (Tokyo Institute of Technology, Japan)

Loop-erased random walk on planar graphs.

 

Masato Takei (Osaka Electro-Communication University, Japan)

Scaling relations for 2D Ising percolation.

 

 

5.        Practical information (by courtesy of the Department of Mathematics)

Pre-arrival information

From New Chitose Airport to JR Sapporo Station

From JR Sapporo Station to Hokkaido University

Other useful links

 

 

Organized by Akira Sakai