English

Convergence properties of symmetrization processes

Metric Geometry 2023-04-07 v1 Probability

Abstract

Steiner symmetrization is well known for its rounding and general convergence properties. We identify a whole family of symmetrizations sharing analogue behaviors: In fact we prove that all these symmetrizations share the same converging symmetrization processes, together with some pathological phenomena.

Keywords

Cite

@article{arxiv.2207.05416,
  title  = {Convergence properties of symmetrization processes},
  author = {Jacopo Ulivelli},
  journal= {arXiv preprint arXiv:2207.05416},
  year   = {2023}
}