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Theory for correlation functions of processes driven by external colored noise

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We study steady-state correlation functions of nonlinear stochastic processes driven by external colored noise. We present a methodology that provides explicit expressions of correlation functions approximating simultaneously short- and long-time regimes. The non-Markov nature is reduced to an effective Markovian formulation, and the nonlinearities are treated systematically by means of double expansions in high and low frequencies. We also derive some exact expressions for the coefficients of these expansions for arbitrary noise by means of a generalization of projection-operator techniques.

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HERNÁNDEZ MACHADO, Aurora, CASADEMUNT I VIADER, Jaume, RODRÍGUEZ DÍAZ, Miguel ángel, PESQUERA, L., NORIEGA, J. m.. Theory for correlation functions of processes driven by external colored noise. _Physical Review A_. 1991. Vol. 43, núm. 4, pàgs. 1744-1753. [consulta: 9 de gener de 2026]. ISSN: 1050-2947. [Disponible a: https://hdl.handle.net/2445/9529]

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