RIEMANN–LIOUVILLE PROCESSES ARISING FROM BRANCHING PARTICLE SYSTEMS

RIEMANN–LIOUVILLE PROCESSES ARISING FROM BRANCHING PARTICLE SYSTEMS
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DOI:
10.1142/s0219493712500220
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发表时间:
2012-07
影响因子:
1.1
通讯作者:
Yuqiang Li
Yuqiang Li
中科院分区:
数学4区
文献类型:
--
作者:
Yuqiang Li

文献摘要

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本文证明了当1 = d < α < 2,σ_(x)dx < ∞时,(d,α,σ_(x))分支粒子系统标度占据时间涨落极限的时间结构可以产生Riemann-Liouville过程.
It is proved in this paper that Riemann–Liouville processes can arise from the temporal structures of the scaled occupation time fluctuation limits of the site-dependent (d, α, σ(x)) branching particle systems in the case of 1 = d < α < 2 and ∫ℝ σ(x)dx < ∞.