Let (d geqslant 2). A flat cone in (mathbb{R}^{d}) is a cone in (mathbb{R}^{d-1}). Adapt the argument
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Let \(d \geqslant 2\). A flat cone in \(\mathbb{R}^{d}\) is a cone in \(\mathbb{R}^{d-1}\). Adapt the argument of Example 8.18.e) to show the following useful regularity criterion for a \(\mathrm{BM}^{d}\) : The boundary point \(x_{0}\) is regular for \(D^{c}\) if there is a truncated flat cone with vertex at \(x_{0}\) and lying entirely in \(D^{c}\).
Data From 8.18 Example
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Related Book For
Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook
ISBN: 9783110741254
3rd Edition
Authors: René L. Schilling, Björn Böttcher
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