Discrete approximation to Brownian motion with varying dimension in bounded domains (Q6171927)
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scientific article; zbMATH DE number 7713917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete approximation to Brownian motion with varying dimension in bounded domains |
scientific article; zbMATH DE number 7713917 |
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Discrete approximation to Brownian motion with varying dimension in bounded domains (English)
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18 July 2023
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The author studies Brownian motions on a state space \(E\) where the half line is glued together with \(\mathbb R^2\) without some closed disk around \(0\in\mathbb R^2\) at some additional point in \(E\). The author presents some discrete approximations for these ``Brownian motions with varying dimensions'' in continuous time by using Dirichlet forms. The reviewer has the impression that such results are available in much more generality.
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Brownian motions with varying dimensions
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discrete approximations
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Dirichlet forms
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