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Answer by Rodrigo de Azevedo for What phenomena are better modelled by SDE instead of ODE?

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Since the Earth is not at zero degrees Kelvin, thermal noise is a reality that cannot be ignored. Much of electrical engineering is designing analog filters to remove as much noise as possible from noisy signals. Such filters can be modeled using SDEs, though electrical engineers might prefer to work with spectral densities instead. The interested reader might want to take a look at Wiener–Khinchin.


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