Talk:Brownian tree

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Needs more careful definition[edit]

The present description omits two important details:

  1. The particle is described as moved until it bumps into the seed. I infer that this is not actually what happens, as the tree would only result if the subsequent particles are moved, not until they bump into the original seed, but until they bump into any part of the (growing) tree.
  2. In any case, the first particle will never bump into the seed! At least not if the seed is a point in the plane. It needs to have a finite size (such as being a small circle) in order to have any chance of having a particle bump into it. Either that, or the particle must be of finite size (or both). Having the seed be of finite size is probably best, to avoid the last piece of a branch before it connects to the tree be a smooth line segment.

I have no experience with these Brownian trees (though I work on evolutionary models that involve trees and Brownian Motion). So I have not tried to edit this page. Felsenst (talk) 12:56, 6 November 2010 (UTC)

Now the definition is improved a little, but still wrong. It says each particle is moved until it bumps into the original seed, or into any previous particle. No, it has to move until it bumps into any part of the tree. Not just into the final location of a previous particle. Felsenst (talk) 21:40, 24 June 2012 (UTC)