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arXiv · 2402.18350

Brownian symmetrization of planar domains

Maher Boudabra·Kais Hamza
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Abstract

One of aims of this note is to capture the interest of the mathematical community to a novel transformation, which we shall call Brownian symmetrization. This transformation arises from the solution of the planar Skorokhod embedding problem. Brownian symmetrization shares some properties with the famous Steiner symmetrization. However, we show that these two transformations are not the same and they do not affect each other.

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Maher Boudabra, Kais Hamza. 2024-02-28. Brownian symmetrization of planar domains. https://arxiv.org/abs/2402.18350

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