Anchored expansion and random walk
نویسنده
چکیده
This paper studies anchored expansion, a non-uniform version of the strong isoperimetric inequality. We show that every graph with i-anchored expansion contains a subgraph with isoperimetric (Cheeger) constant at least i. We prove a conjecture by Benjamini, Lyons and Schramm (1999) that in such graphs the random walk escapes with a positive lim inf speed. We also show that anchored expansion implies a heatkernel decay bound of order exp(−cn1/3).
منابع مشابه
Anchored Expansion and Random Walk
This paper studies anchored expansion, a non-uniform version of the strong isoperi-metric inequality. We show that every graph with i-anchored expansion contains a subgraph with isoperimetric (Cheeger) constant at least i. We prove a conjecture by Benjamini, Lyons and Schramm (1998) that in such graphs the random walk escapes with a positive lim inf speed. We also show that anchored expansion i...
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