A Gaussian oscillator

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Authors

Burdzy, Krzysztof
White, David

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Publisher

Institute of Mathematical Statistics

Abstract

We present a stochastic process with sawtooth paths whose distribution is given by a simple rule and whose stationary distribution is Gaussian. The process arose in a natural way in research on interaction of an inert particle with a Brownian particle.

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Citation

Burdzy, K. & D. White. (2004). A Gaussian oscillator. Electronic communications in Probability, 9 (Paper 10), 92-95.

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