Topics

Tentative lecture schedule

• Week 1.
  1. Intro to the class and Model #1 Percolation.
  2. Model #2 Oriented Percolation, Model #3 Branching processes.
  
  
• Week 2.
  1. Model #4 Random walks on graphs, Model #5 Contact processes.
  2. Introduction to probability : sigma fields, Kolmogorov’s 0-1 laws.
  
  
• Week 3.
  1. Tools: Coupling and FKG inequality.
  2. BK inequality.
  
  
• Week 4.
  1. Percolation.
  2. Percolation continued.
  
  
• Week 5.
  1. Intro to Martingales.
  2. Galton Watson Branching Processes.
  
  
• Week 6.
  1. Galton Watson Branching Processes continued.
  2. Markov Branching Processes.
  
  
• Week 7-13.
  To be announced.

Exams and homework assignments

• Minor 1. Download tex template here (local access only). Posted 2nd September 2010. Due: 9th September 2010.
  
• Minor 2. Download tex template here (local access only). Posted 24th September 2010. Due: 4th October 2010.
  
• Minor 3. Download tex template here (local access only). Posted 27th October 2010. Due: 4th November 2010.
  

• Please save the template in a latex file called "minor<minor number>-your-name.tex".
• Fill in your answers and your name at the appropriate places indicated, and, when you are done, printout the pdf made from this latex file.
• Bring it with you to class on the due date.
• If for some reason you cannot come to class that day, please drop the exam in my box before the beginning of class on the due date.
• If you cannot access the local server because you live off campus, email me and I will send you the tex template.

Scribing

• Please download the template file and the latex class file that will be needed.
  
• Here are some general guidelines which may help you with scribing class notes. Please read them before you begin typing.
  
• Also the tex source for lecture 1 and lecture 4 of the class on Percolation Theory (2007-08) are available for your reference (local access only.)
• Some latex tips here.