vol18_pp202-210. 149KB Jun 04 2011 12:06:02 AM
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We improve the known upper bound of the dimension n of an indecomposable unimodular lattice whose shadow has the third largest possible length, n − 16.. Occasionally, we will use χ (
As a consequence of uniform distribution of ergodic group translations (for the theory of uniform distribution of sequences we refer to [9]), Hartman sequences share some
whether a specied real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive
Hence, the investigation of the m th roots of a nonsingular (and not diagonalizable) matrix A via the Jordan canonical form of A arises in a natural way [2]. The following lemma
Assume that the contrary holds, i.e., suppose that there is a graph G of type-III such that G has the greatest maximum eigenvalue in G( n, ∆).. We consider the next
It is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has
In this paper, we extend the study to the case of negatively dependent random variables and we find out that the asymptotic behavior of precise large deviations is insensitive to
As an application of Proposition 2.1, in Corollary 2.1 we also obtain two results on the total occupation time and the almost sure local extinction of the empirical measure process
