Project Information
Project presentations will be during the last 3 classes:
Thursday November 30 to Thursday December 5.
Send me an email with your choice. (45 presentations per class)
Thursday November 30:
 Rishi Saket: [DyerFriezeJerrum] On counting independent sets in sparse graphs
 Subrhmanyam Kalyanasundaram: [Hayes] A simple condition for rapid mixing.
 Bradley Green: [GoreJerrum] SwendsenWang process does not always
mix rapidly.
 Giovanni Ciriello: [Miklos] MCMC Genome Rearrangement
Tuesday December 5:
 Varun Kanade: [Diaconis] BoseEinstein Markov Chain
 Giorgos Amanatidis: [BhatnagarRandall] Torpid mixing of simulated tempering on the Potts model
 Ashok Ponnuswami: [RadmeacherVempala] Dispersion of Mass
 Spencer Brubacker: [DyerSinclairVigodaWeitz] Mixing in time and space
Thursday December 7:
 Stephen Young: [GkantsidisMihailSaberi] Conductance and
Congestion of Power Law Graphs
 Brian Williams and Danupon Nanogkai: [PeresMorris] Evolving Sets and [Morris] Thorp Shuffle
 Gagan Goel: [Morris] Improved Bounds for Sampling Contingency Tables
Project choices:
Project details:

First you need to choose a paper. I expect you will learn
a fair bit just in looking around for an appropriate paper.
A starting point is to look at the abstracts of papers of
some people in the area. Here are a few people, and from their
coauthors you'll find others.
This is just a sample of people, feel free to choose
papers from other people.
David Aldous
,
Persi Diaconis
,
Martin Dyer
,
Leslie Goldberg
,
Tom Hayes
(suggestion: FOCS '06 paper)
Mark Jerrum
,
Laszlo Lovasz
,
Milena Mihail,
Ben Morris
(suggestion: Thorp shuffle or Evolving sets)
,
Alistair Sinclair
,
Dana Randall
(suggestion: simulated tempering)
Prasad Tetali,
Santosh Vempala
(suggestion: lower bound for volume paper in FOCS'06)
Dror Weitz
David Wilson

Come by my office to discuss your project choice.
You are supposed to do individual projects, unless the topic clearly
warrants multiple people.

You will prepare a short (34 pages) set of lecture
notes. The goal is to express the main ideas of the
proof. It is not to simply redo the intro or
give a full proof as is done in the original paper.
I want you to explain the key idea to make sure
you can give a clear talk.
This will be due before Thanksgiving.

You will give a short (20 minute) presentation
during the last week of classes. We will arrange this
for the last week of classes: Tuesday December 5 and Thursday December 7.
You need to give a computer talk (i.e., latex or powerpoint).