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did this in the first year but forgot what it's called

richardhp
Post Icon Posted: Submitted by richardhp on 28 July 2010 - 5:20pm.

Joined: 2007-10-01
Posts: 239

can anyone remember the name of the thing where you start with a grid, then for each of the vertical and horizontal lines directly between two dots you draw one with probability p, and the resulting shape tends to coagulate with p ~ 0.7 but is highly fragmented for smaller p?

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Callan
Post Icon Posted: 2 August 2010 - 9:03am

Joined: 2008-09-30
Posts: 173

I'm not really sure of the result but ot sounds a lot like something from peculation theory so you might wanna check out: http://en.wikipedia.org/wiki/Percolation_theory
Sam
Post Icon Posted: 2 August 2010 - 5:11pm

Joined: 2007-10-03
Posts: 562

Well it seems to me like you mean percolation on the lattice $ \mathbb{Z}^2 $, but in that case the critical probability is $ \frac{1}{2} $.
owen.daniel
Post Icon Posted: 15 August 2010 - 12:51pm

Joined: 2007-10-07
Posts: 93

I recommend the work of Bela Bolobas should you wish to know more about this.

Owen
richardhp
Post Icon Posted: 10 April 2011 - 2:11pm

Joined: 2007-10-01
Posts: 239

aight cool

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