Abstract
We obtain isoperimetric stability theorems for general Cayley digraphs on Zd. For any fixed B that generates Zd over Z, we characterise the approximate structure of large sets A that are approximately isoperimetric in the Cayley digraph of B: we show that A must be close to a set of the form kZ ∩ Zd, where for the vertex boundary Z is the conical hull of B, and for the edge boundary Z is the zonotope generated by B.
Originalsprache | englisch |
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Seiten (von - bis) | 5021-5029 |
Seitenumfang | 9 |
Fachzeitschrift | Proceedings of the American Mathematical Society |
Jahrgang | 151 |
Ausgabenummer | 12 |
Frühes Online-Datum | 2023 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Dez. 2023 |
ASJC Scopus subject areas
- Angewandte Mathematik
- Mathematik (insg.)