Superprocesses in random environments
Superprocesses in random environments
复制标题
随机环境中的超级进程
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
L. Mytnik
中科院分区：
文献类型：
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作者：
L. Mytnik
研究了随机运动的大分支粒子系统的极限行为，其分支机制受到随机环境的影响。建立了这类粒子系统序列的弱收敛结果，并将其极限过程刻画为鞅问题的唯一解。鞅问题解的唯一性的证明需要标准对偶技术的扩展。
We study the limiting behavior of large branching particle systems undergoing random motion, whose branching mechanism is affected by a random environment. The weak convergence result is established for a sequence of such particle systems and the limiting process is characterized as the unique solution of a martingale problem. The proof of uniqueness of the solution for the martingale problem requires an extension of standard duality techniques.