The regular time for the reading group will be Fridays at 11 AM. Since finding a regular room has proven to be difficult, we will meet in the Wireless Foundations lounge. Readings will come from papers as well as the book by Bollobás and Riordan.
Nearest neighbor and hard sphere models in continuum percolation
Olle Häggström, Ronald W. J. Meester Random Structures and Algorithms 9(3), p.295-315, 1996
Critical intensities of Boolean models with different underlying convex shapes Rahul Roy and Hideki Tanemura Adv. in Appl. Probab. Volume 34, Number 1 (2002), 48-57. http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aap/1019160949
Continuum percolation with unreliable and spread out connections M. Franceschetti, L. Booth, M. Cook, J. Bruck, R. Meester Journal of Statistical Physics, 118 (3/4), pp. 721-734, February 2005. http://circuit.ucsd.edu/~massimo/Journal/JSP-percolation-spread.pdf
| Date | Topic | Speaker |
|---|---|---|
| 16 Feb. 2007 | An overview of percolation – major ideas, results, and dreams | Charles |
| 23 Feb. 2007 | Dual graphs and simple bounds on p_H | Krish and Guy |
| 30 Feb. 2007 | The Russo-Seymour Welsh Method (3.1 in Bollobás and Riordan) | Guy and Krish |
| 9 Mar. 2007 | Harris' Theorem (Section 3.2) | Birsen |
| 16 Mar. 2007 | Kesten's Theorem via Friedgut-Kalai (Sections 3.3, 3.4) | Anand |
| 6 Apr. 2007 | Uniqueness of the infinite open cluster (Section 5.1) | Krish |
| 13 Apr. 2007 | Continuum Percolation (Intro) (Section 8.1) | Bobak |
| 20 Apr. 2007 | More continuum | Bobak |
Prof. Michael Gastpar, Dr. Charles Bordenave, Dr. Cédric Herzet, Dr. Birsen Sirkeci-Mergen, Lara Dolecek, Mark Johnson, Anand Sarwate, Dr. Narayana Prasad Santhanam, Guy Bresler, Krish Eswaran, Bobak Nazer, Dr. Alyson Fletcher, Baris Nakiboglu, Vinod Prabhakaran, Pulkit Grover, Rahul Tandra, Alex Dimakis