Affiliation:
1. Department of Mathematical Sciences Carnegie Mellon University Pittsburgh Pennsylvania USA
Abstract
AbstractWe prove a dimension‐free stability result for polydisc slicing due to Oleszkiewicz and Pełczyński. Intriguingly, compared to the real case, there is an additional asymptotic maximizer. In addition to Fourier‐analytic bounds, we crucially rely on a self‐improving feature of polydisc slicing, established via probabilistic arguments.
Funder
National Science Foundation
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