Approximation of symmetrizations by Markov processes
Probability
2018-08-21 v2 Functional Analysis
Metric Geometry
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.
Keywords
Cite
@article{arxiv.1508.00464,
title = {Approximation of symmetrizations by Markov processes},
author = {Justin Dekeyser and Jean Van Schaftingen},
journal= {arXiv preprint arXiv:1508.00464},
year = {2018}
}