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4. Expanders


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      Problem 4.1.

      [Ramon van Handel] Does there exist a bounded degree graph that is a nonlinear expander with respect to every Banach space of nontrivial cotype? Is every bounded degree expander a nonlinear expander with respect to every Banach space of nontrivial cotype?

        •     The following question was originally asked by Itai Benjamini

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          Problem 4.2.

          [Tom Hutchcroft] Does there exist a locally finite transitive graph whose balls (or some subsequence of balls) are expanders?

              Cite this as: AimPL: Metric embeddings, available at http://aimpl.org/metricembeddings.