乘性噪声
乘法函数
统计物理学
噪音(视频)
随机过程
缩放比例
光学(聚焦)
数学
奥恩斯坦-乌伦贝克过程
振幅
梯度噪声
计算机科学
噪声测量
降噪
数学分析
物理
噪声地板
人工智能
统计
几何学
光学
数字信号处理
图像(数学)
信号传递函数
模拟信号
计算机硬件
作者
Katy J. Rubin,Gunnar Pruessner,Grigorios A. Pavliotis
标识
DOI:10.1088/1751-8113/47/19/195001
摘要
The Langevin formulation of a number of well-known stochastic processes involves multiplicative noise. In this work we present a systematic mapping of a process with multiplicative noise to a related process with additive noise, which may often be easier to analyse. The mapping is easily understood in the example of the branching process. In a second example we study the random neighbour (or infinite range) contact process which is mapped to an Ornstein–Uhlenbeck process with absorbing wall. The present work might shed some light on absorbing state phase transitions in general, such as the role of conditional expectation values and finite size scaling, and elucidate the meaning of the noise amplitude. While we focus on the physical interpretation of the mapping, we also provide a mathematical derivation.
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