A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate
- Award ID(s):
- 1707953
- PAR ID:
- 10276446
- Date Published:
- Journal Name:
- Electronic Journal of Probability
- Volume:
- 26
- ISSN:
- 1083-6489
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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A quasiconformal tree T is a (compact) metric tree that is doubling and of bounded turning. We call T trivalent if every branch point of T has exactly three branches. If the set of branch points is uniformly relatively separated and uniformly relatively dense, we say that T is uniformly branching. We prove that a metric space T is quasisymmetrically equivalent to the continuum self-similar tree if and only if it is a trivalent quasiconformal tree that is uniformly branching. In particular, any two trees of this type are quasisymmetrically equivalent.more » « less
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