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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On excursions of reflecting Brownian motion


Author: Pei Hsu
Journal: Trans. Amer. Math. Soc. 296 (1986), 239-264
MSC: Primary 60J60; Secondary 60J50, 60J55, 60J65
DOI: https://doi.org/10.1090/S0002-9947-1986-0837810-X
MathSciNet review: 837810
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Abstract: We discuss the properties of excursions of reflecting Brownian motion on a bounded smooth domain in $ {R^d}$ and give a procedure for constructing the process from the excursions and the boundary process. Our method is computational and can be applied to general diffusion processes with reflecting type boundary conditions on compact manifolds.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1986-0837810-X
Keywords: Reflecting Brownian Motion, boundary process, point process of excursions, excursion laws
Article copyright: © Copyright 1986 American Mathematical Society