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Title: | Branching Brownian Motions | Authors: | SHEN JINGYUN | Keywords: | Branching Brownian Motion | Issue Date: | 17-Aug-2012 | Citation: | SHEN JINGYUN (2012-08-17). Branching Brownian Motions. ScholarBank@NUS Repository. | Abstract: | The second-order term of the median position of the extremal particle in a branching Brownian motion has been shown. Two different proofs are compared (One by Bramson and One by Roberts). Then we review and compare recent results by L.-P Arguin, A. Bovier, N. Kistler and E.Aidekon, J. Berestychi, E. Brunet, Z. Shi on the branching Brownian motion seen from its tip. The results show that the extremal process of branching Brownian motions converges to a certain Poisson point process. | URI: | http://scholarbank.nus.edu.sg/handle/10635/36142 |
Appears in Collections: | Master's Theses (Open) |
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