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 Electronic Communications in Probability > Vol. 9 (2004) > Paper 10 open journal systems 


A Gaussian Oscillator

Krzysztof Burdzy, University of Washington
David White, University of Washington


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.


Full text: PDF

Pages: 92-95

Published on: October 6, 2004


Bibliography
  1. S. Ethier and T. Kurtz Markov processes. Characterization and convergence. John Wiley and Sons, Inc., New York, 1986. Math. Review 88a:60130
  2. F. Knight, On the path of an inert object impinged on one side by a Brownian particle. Probab. Theory Related Fields 121, (2001) 577-598. Math. Review 2002i:60148
  3. D. White, Processes with inert drift. Ph.D. Thesis, University of Washington (forthcoming)
















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Electronic Communications in Probability. ISSN: 1083-589X