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A Skorokhod-type lemma and a decomposition of reflected Brownian motion

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Publication:1897152
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DOI10.1214/aop/1176988280zbMath0882.60036OpenAlexW2064752997WikidataQ125055134 ScholiaQ125055134MaRDI QIDQ1897152

Krzysztof Burdzy, Ellen H. Toby

Publication date: 18 February 1998

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988280


zbMATH Keywords

diffusionreflectionBrownian motionSkorokhod lemma


Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Sample path properties (60G17) Functions of bounded variation, generalizations (26A45)


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The heat equation and reflected Brownian motion in time-dependent domains. ⋮ The Skorohod oblique reflection problem in time-dependent domains ⋮ Existence and uniqueness of reflecting diffusions in cusps ⋮ A Dirichlet process characterization of a class of reflected diffusions ⋮ Characterization of stationary distributions of reflected diffusions ⋮ The Skorokhod problem in a time-dependent interval ⋮ On the roughness of the paths of RBM in a wedge ⋮ Learning about profitability and dynamic cash management



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