共生分枝模型的间断性和老化性
Intermittency and Aging for the Symbiotic Branching Model
摘要：
对于Etheridge/Fleischmann（2004）引入的共生分支模型，老化和不稳定性在负相关、零相关和正相关时表现出不同的行为。我们的方法也提供了一个替代的，初步的证明和改进的经典结果的二阶矩的抛物型安德森模型与布朗势。对Dembo/Deuschel（2007）关于相互作用扩散的最近老化结果的更一般（也是无限范围）核给出了一些改进。
英文摘要：
For the symbiotic branching model introduced by Etheridge/Fleischmann (2004), it is shown that aging and intermittency exhibit different behaviour for negative, zero, and positive correlations. Our approach also provides an alternative, elementary proof and refinements of classical results concerning second moments of the parabolic Anderson model with Brownian potential. Some refinements to more general (also infinite range) kernels of recent aging results of Dembo/Deuschel (2007) for interacting diffusions are given.
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