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ISMVL
2008
IEEE

Betweenness, Metrics and Entropies in Lattices

8 years 8 months ago
Betweenness, Metrics and Entropies in Lattices
We investigate a class of metrics on lattices that are compatible with the partial order defined by the lattice using the ternary relation of betweenness that can be naturally defined on a metric space. The relationships between entropy-like functions and metrics defined on lattices are studied and we show the links that exists between various properties of entropies and properties of metrics. Applications to metrics defined on the lattice of partitions of finite sets are examined.
Dan A. Simovici
Added 31 May 2010
Updated 31 May 2010
Type Conference
Year 2008
Where ISMVL
Authors Dan A. Simovici
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