8680 Spring 2017

MF 12:05PM-1:20PM   CivE 214       

Papers for presentations: 
1 - Sunita, May 5
2 - Carolynn, May 1
3 - Esther, May 1
4 - Eric, April 28
5 - Biesel, April 24
6 - Owen, April 24
8 - Theo, April 21
11 - Galen, May 5
12 - Tara, April 28

The topic of the course is algebraic combinatorics of electrical networks. Things to be covered if time permits:

Rayleigh monotonicity, Polya theorem, relation to Markov chains
- Matrix-tree theorem, loop-erased walks, Wilson's algorithm
Electrical networks and abelian sandpile
- Inverse problem
- Kenyon-Wilson groves
- Positivity phenomena
- Alternating current 
- Half-plane property
- Electroid varieties and cellular structure
- Cylindrical electrical networks


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