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[Reflection of a path is a perturbation that is sufficiently powerful to substantially change many properties of a stochastic process and yet sufficiently structured to be amenable to rigorous analysis. There seems to be no well-defined theory of reflected processes in the same sense as there is no well-defined theory of Brownian motion. Instead, the basic idea has a number of incarnations and generates many interesting questions. These notes contain a review of some directions of research concerned with reflected paths.]
Published: May 15, 2015
Keywords: Reflections; Brownian motion; spectral analysis; Primary 60J65; Secondary 35P99
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