论文标题
非马克维亚和非线性点过程的幂律缩放行为的相似之处
Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes
论文作者
论文摘要
我们分析了由狭窄的布朗尼运动驱动的时间点过程的统计特性。该非马克维亚点过程的事件计数分布和功率频谱密度表现出功率法缩放。我们表明，非线性马尔可夫点过程可以再现相同的缩放行为。该结果表明非线性与明显的非马克维亚行为之间可能存在联系。
We analyze the statistical properties of a temporal point process driven by a confined fractional Brownian motion. The event count distribution and power spectral density of this non--Markovian point process exhibit power--law scaling. We show that a nonlinear Markovian point process can reproduce the same scaling behavior. This result indicates a possible link between nonlinearity and apparent non--Markovian behavior.
