Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality

Details Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality

2003-03-11

arxiv.org/abs/math/0303127v1

Mathematics

Metric Geometry

5 pages

Scientific paper

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 $A$.

Affiliated with

Also associated with

No associations

Rating

Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-130801