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arXiv · 1508.00464

Approximation of symmetrizations by Markov processes

Justin Dekeyser·Jean Van Schaftingen
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Abstract

Under continuity and recurrence assumptions, we prove that the iteration of successive partial symmetrizations that form a time-homogeneous Markov process, converges to a symmetrization. We cover several settings, including the approximation of the spherical nonincreasing rearrangement by Steiner symmetrizations, polarizations and cap symmetrizations. A key tool in our analysis is a quantitative measure of the asymmetry.

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Justin Dekeyser, Jean Van Schaftingen. 2015-07-30. Approximation of symmetrizations by Markov processes. https://doi.org/10.1512/iumj.2017.66.6118

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