Exact formulas for the conditional distributions, moments, and correlation functions of free Brownian motion conditioned on energy being above or below a threshold are derived.
Kurchan , journal J
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Upside/Downside statistical mechanics of nonequilibrium Brownian motion. I. Distributions, moments, and correlation functions of a free particle
Exact formulas for the conditional distributions, moments, and correlation functions of free Brownian motion conditioned on energy being above or below a threshold are derived.