I. Benjamini

activity

19982005

most citedPercolation on finite graphs and isoperimetric inequalities

87 citations · 100 across the 18 of their papers we have counts for

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2 papers · 1 filter

math.MG2003

omega-Periodic graphs

Itai Benjamini, Chris Hoffman

$ω$ -periodic graphs are introduced and studied. These are graphs which arise as the limits of periodic extensions of the nearest neighbor graph on the integers. We observe that all…

math.MG2003

Pinched exponential volume growth implies an infinite dimensional isoperimetric inequality

Itai Benjamini, Oded Schramm

Let $G$ be a graph which satisfies $c^{- 1} a^{r} \leq ∣ B (v, r) ∣ \leq c a^{r}$ , for some constants $c, a > 1$ , every vertex $v$ and every radius $r$ . We prove that this implies the isoperimet…