Entropy, partitions and association schemes
21/12/2012 Sexta-feira, 21 de Dezembro de 2012, 12:00, IIIUL - Sala B1-01
Rosemary A. Bailey (Queen Mary, University of London, UK)
Instituto para a Investigação Interdisciplinar da Universidade de Lisboa
In the previous talk, it was shown that entropy functions can be approximated by functions associated with uniform partitions (all parts have the same size). In this talk, we define orthogonality of partitions, and interpret orthogonality in terms of the entropy of the associated random variables. We explain how a sublattice of the partition lattice consisting of mutually orthogonal uniform partitions gives rise to an association scheme.