Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality
| dc.creator | Benjamini, Itai | |
| dc.creator | Schramm, Oded | |
| dc.date | 2003-03-11 | |
| dc.date.accessioned | 2026-07-07T04:55:56Z | |
| dc.date.available | 2026-07-07T04:55:56Z | |
| dc.description | Let $G$ be a graph which satisfies $c^{-1} a^r \le |B(v,r)| \le c a^r$, for some constants $c,a>1$, every vertex $v$ and every radius $r$. We prove that this implies the isoperimetric inequality $|\partial A| \ge C |A| / \log(2+ |A|)$ for some constant $C=C(a,c)$ and every finite set of vertices $A$. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303127 | |
| dc.identifier | http://arxiv.org/abs/math/0303127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66754 | |
| dc.subject | Metric Geometry | |
| dc.title | Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality | |
| dc.type | text |