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   Random Walks <--> Resistors Networks
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   Author  Topic: Random Walks <--> Resistors Networks  (Read 992 times)
william wu
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Random Walks <--> Resistors Networks  
« on: Nov 6th, 2002, 12:09am »
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Learned this in my randomized algorithms class today, and it was pretty interesting so I thought I'd share it. There is apparently a dual between computing resistance in a resistor network, and computing expected hitting time of a random walk in a graph! The problems at first seem completely unrelated and yet they are duals -- that is, if you solve one you've also solved the other.  
 
Taken from CMU's 15-750 Graduate Algorithms:
http://www.ocf.berkeley.edu/~wwu/documents/cmu_rwrn.txt
 
A paper by Doyle and Snell:
http://www-ee.technion.ac.il/~adam/FUN/RWEN.pdf
« Last Edit: Nov 6th, 2002, 12:17am by william wu » IP Logged


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