## Summer School in Probability: An ACCELERATE BC Graduate Training Event

• Start Date: 06/11/2008
• End Date: 07/08/2008
Lecturer(s):

Geoffrey Grimmett (University of Cambridge, UK)
Chris Burdzy (University of Washington, USA)

Location:

University of British Columbia

Topic:

Discrete Spatial Processes in Probability, Geoffrey Grimmett (University of Cambridge, UK)
Math 609E section 921 - catalogue #222075

Many of the most beautiful and important problems of probability theory
involve random processes associated with networks. The inspirations for
such problems come often from areas of applied science stretching from
physics to epidemiology and biology, and their solutions feed back into
these fields. The primary target of this lecture series will be to
present a coherent theory of discrete spatial processes emerging from a
number of areas including: random walk, random trees, percolation,
models for ferromagnets and spin glasses, and interacting particle
systems. In each case, we will progress from the basics to the
principal open problems. Special emphasis will be placed on connections
between topics, and on generic methodology including correlation
inequalities and concentration.

Brownian Motion and Analysis, Chris Burdzy (University of Washington, USA)
Math 608D section 921 - catalogue #222077
Brownian motion is arguably the central concept of stochastic calculus.
It is used as a model for real-world phenomena studied by physicists,
biologists and economists. The mathematical challenge is to develop
methods providing effective computational tools. While each specific
application of might appear to need its own approach, several major
general ideas have been invented and developed over the years.
The course will not be a list of theorems on Brownian motion. I will
review a few current research problems involving Brownian motion and
show how one can attack these problems using various ideas. In this
way, I will introduce techniques of stochastic analysis by showing how
they are applied to interesting and challenging questions. I will
discuss a number of open problems to give students the taste of current
research and suggest topics for their own projects.

Participants will also have the opportunity to give short presentations on their own work.

Description:

The summer school will consist of two advanced graduate courses, given by Geoffrey Grimmett and Krzysztof Burdzy.
Each course will include 30 hours of lectures. Course credit will be
Deans' Protocol.

Those interested in attending (graduate students, postdocs and faculty
members) should fill in the online registration form, as space will be
limited.

PIMS has reserved a number of apartments with Walter Gage Towers
at a rate of $47/day. Each apartment has six bedrooms sharing a bathroom, equipped kitchen, and lounge. The deadline to reserve a room is April 7, 2008. For general information about Vancouver or UBC, click the corresponding link. Please contact Sandra Kliem, to confirm your registration or Susan Brauer to request an invitation. Schedule: Lecture Schedule Prof. Geoffrey Grimmett: Discrete Spatial Processes in Probability (Math 609E) Prof. Krzysztof Burdzy: Brownian Motion and Analysis (Math 608D) Prof. Yuval Peres: guest lecture (title to be announced) 25-minute participant presentations Lectures, tutorials and presentations initially in GEOG 100 Coffee in PIMS: 10:30-11:00 on lecture days Wednesday, June 11, 2008 09:00-10:30 Grimmett 11:00-12:30 organization 14:00-16:00 presentations Thursday, June 12, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 presentations Friday, June 13, 2008 09:00-10:00 Burdzy 11:00-12:30 presentations 14:00-16:00 Monday, June 16, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Tuesday, June 17, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Thursday, June 19, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 presentations Friday, June 20, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 tutorials Monday, June 23, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Tuesday, June 24, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Thursday, June 26, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 Peres lecture Friday, June 27, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 tutorials Monday, June 30, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Wednesday, July 2, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Thursday, July 3, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 tutorials Friday, July 4, 2008 09:00-10:30 Grimmett 11:00-12:30 Burdzy 14:00-16:00 presentations Monday, July 7, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Tuesday, July 8, 2008 09:00-10:30 Burdzy 11:00-12:30 Grimmett 14:00-16:00 presentations Participant Presentations Wednesday June 11 - Tuesday July 8, 2008 Wednesday, June 11 14:00 Nicolas Curien, Random planar maps 14:30 Hubert Lacoin, The effect of disorder in pinning models 15:00 Gidi Amir, The speed of the totally asymetric exclusion Thursday, June 12 14:00 Jian Ding, Total-variation cutoff in birth-death chains 14:30 Hugo Duminil, TBA 15:00 TBA Friday, June 13 TBA Monday, June 16 TBA Tuesday, June 17 TBA Thursday, June 19 TBA Monday, June 23 TBA Tuesday, June 24 TBA Monday, June 30 TBA Wednesday, July 2 TBA Friday, July 4 TBA Monday, July 7 TBA Wednesday, July 9 TBA Organizers: Martin Barlow Gordon Slade Other Information: Scientific Panel Maria Emilia Caballero, Dayue Chen, Zhen-Qing Chen, Jean-Francois Le Gall, Neal Madras, Vladas Sidoravicius. Financial Support The deadline for financial support has now passed and no further support will be available. Participants with their own funding are welcome to attend. Venue The Probability Summer School will take place in "GEOG 100". Coffee breaks will take place at "WMAX 120" (PIMS 1st floor lounge). Accommodation All self-funded participants and PIMS-funded participants of the PIMS Probability Summer School (Jun 11-Jul 8) will be provided accommodations at the UBC Gage Tower. Note: PIMS-funded participants are those selected by the organizers to receive accommodation support. Self-funded participants pay for their own accommodations. Please read the following items carefully. 1. Dy default, all participants are assumed to be arriving Tuesday, June 10, 2008 and departing Wednesday, July 9, 2008. These are the dates organizers agree to fund you for your accommodations. Please stay for the entire period and book your flight accordingly. 2. If your arrival & departure dates are beyond the Jun 10-Jul 9 time frame, you may need to arrange extra accommodations with Ken Leung (kleung@pims.math.ca). Please note that 1) organizers may ask you to pay for your extra accommodations yourself and 2) while PIMS tries to accommodate your need, extra accommodations are not guaranteed (it depends on availability and this is out of our control). 3. The DEADLINE for extra accommodation request is Wednesday, May 28. 4. Attachment - GageInfo.pdf Please print a copy of the attached document regarding your accommodations (it contains address & facilities & contact info) 5. Visitor info For directions to UBC Please print & visit this website: http://www.ubc.ca/about/maps.html UBC campus map: http://www.maps.ubc.ca/PROD/images/pdf/ubcmap.pdf If you take a taxi (cab) at the airport, it will cost you$25-30/trip
If you take a bus, it will cost your \$3.75/trip Please consult the
tourist info desk at the airport for details.

6. Venue: GEOG 100, PIMS-UBC
- All participants will receive a campus map with further instructions
how to get to GEOG 100 and PIMS-UBC at the Gage reception upon arrival.

7. Accommodation guest list for PIMS-funded participants ordered by last name:

1 Mahshid Atapour
2 Juan Barrios
3 Jérémie Bettinelli
4 Alex Bloemendal
6 Geoffrey Brown
7 Stephen Buckley
8 Ivan Corwin
9 Nicolas Curien
10 Jian Ding
11 Hugo Duminil
12 Nathaniel Eldredge
13 Sam Finch
14 Ryoki Fukushima
15 Luis Manuel González-Rosas
16 Ankit Gupta
17 Emmanuel Jacob
19 Naotaka Kajino
21 Robert Knobloch
22 Rohini Kumar
23 Hubert LACOIN
24 Thomas LaGatta
25 Seung Lee
26 Zhentao Li
27 Cyrille Lucas
28 Peter Mester
29 Chiranjib Mukherjee
30 Makoto Nakashima
31 Weiyang Ning
32 Ramin Okhrati
33 Neil Olver
34 Joshua Tokle
35 Chun Wai Carto Wong
36 Qiang Yao