Spectral gap and origami expanders

We construct the first measure-preserving affine actions with spectral gap on surfaces of arbitrary genus g>1. We achieve this by finding geometric representatives of multi-twists on origami surfaces. As a major application, we construct new expanders that are coarsely distinct from the classical...

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Bibliographic Details
Main Authors: Arzhantseva, G, Kielak, D, Laat, TD, Sawicki, D
Format: Internet publication
Language:English
Published: 2021