Now showing items 1-3 of 3
An Asymptotic Expansion and Recursive Inequalities for the Monomer-Dimer Problem
(Springer Verlag, 2011-04)
Let lambda(d)(p) be the p monomer-dimer entropy on the d-dimensional integer lattice Z(d), where p is an element of [0, 1] is the dimer density. We give upper and lower bounds for lambda(d)(p) in terms of expressions ...
A note on the nonzero spectra of irreducible matrices
(Taylor & Francis, 2011-09)
In this note we extend the necessary and sufficient conditions of Boyle-Handleman [M. Boyle and D. Handelman, The spectra of nonnegative matrices via symbolic dynamics, Ann. Math. 133 (1991), pp. 249-316] and Kim-Ormes-Roush ...
On tensors of border rank l in Cm×n×l
We study tensors in Cm×n×l whose border rank is l. We give a set-theoretic char- acterization of tensors in C3×3×4 and in C4×4×4 of border rank 4 at most.