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Sep 9, 2012 at 17:38 vote accept CKura
Sep 7, 2012 at 21:31 comment added Vincent Beffara That's the thing, a self-avoiding is not something that "takes steps" ... It is a measure on the set of self-avoiding paths, so you can ask for e.g. the probability that it is boxed in at its extremity. We would like to have a decent object that is self-avoiding and is still dynamical and "makes moves", sure, but so far we don't ...
Sep 7, 2012 at 8:23 comment added CKura @Vincent Beffara, sorry if I was confusing with my question formulation. My question wasn't "how long will the walk remain self-avoiding" but rather, if the walk is strictly self-avoiding, how many steps will the walk take before it "boxes itself in" and is no longer able to make any moves without revisiting a vertex.
Sep 7, 2012 at 7:10 history answered Vincent Beffara CC BY-SA 3.0