Discretization Methods for Homogeneous Fragmentations
Discretization Methods for Homogeneous Fragmentations
复制标题
均匀碎片的离散化方法
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
A. Rouault
中科院分区：
文献类型：
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作者：
J. Bertoin;A. Rouault
均匀碎裂描述了单位质量随时间随机分解成碎片的演化过程。它们可以被认为是某种类型的分支随机游走的连续时间模拟，这意味着使用时间离散化来将已知结果从分支随机游走理论转移到碎片化背景下。特别是，这产生了关于碎裂的渐近行为的有趣信息。
Homogeneous fragmentations describe the evolution of a unit mass that breaks down randomly into pieces as time passes. They can be thought of as continuous time analogues of a certain type of branching random walk, which suggests the use of time‐discretization to shift known results from the theory of branching random walks to the fragmentation setting. In particular, this yields interesting information about the asymptotic behaviour of fragmentations.