A. Pushnyakov

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cs.DM2017

On improved bound for measure of cluster structure in compact metric spaces

Alexey Pushnyakov

A compact metric space $(X, ρ)$ is given. Let $μ$ be a Borel measure on $X$ . By $r$ -cluster we mean a measurable subset of $X$ with diameter at most $r$ . A family of $k$ $2 r$ -clust…

cs.DM2017

Interdependence of clusters measures and distance distribution in compact metric spaces

Alexey Pushnyakov

A compact metric space $(X, ρ)$ is given. Let $μ$ be a Borel measure on $X$ . By $r$ -cluster we mean a measurable subset of $X$ with diameter at most $r$ . A family of $k$ $2 r$ -clust…