Coalescence et fragmentation stochastiques, arbres aleatoires et processus de Levy
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Tác giả chưa xác định. Coalescence et fragmentation stochastiques, arbres aleatoires et processus de Levy. Thesis, HAL - Pháp.
Việt Nam (chuẩn TCVN 5453:1991):
. Coalescence et fragmentation stochastiques, arbres aleatoires et processus de Levy. Thesis. HAL - Pháp. Truy cập từ .
Tóm tắt
We study certain stochastic processes involving either coalescence or fragmentation, with the help of random trees and Levy processes. We first describe the semigroup of a class of ordered fragmentations related to excursions of Levy processes with no positive jumps. These are in turn related to the so-called additive coalescent process. We provide negative results on the semigroup of certain fragmentations with a property called self-similarity, which has been introduced by Bertoin. Then, we st...