Motivated by a concept studied in [1], we consider property of matrices over finite fields that generalizes triangular totally nonsingular to block matrices. We show (1) with this suffice construct asymptotically good tree codes and (2) random block-triangular matrix field quadratic size satisfies property. will also generalization randomized construction yields for which the sum rate minimum r...

We consider the problem of efficient simulation estimation of the density function at the tails, and the probability of large deviations for a sum of independent, identically distributed (i.i.d.), light-tailed and nonlattice random vectors. The latter problem besides being of independent interest, also forms a building block for more complex rare event problems that arise, for instance, in queu...

We consider the problem of efficient simulation estimation of the density function at the tails, and the probability of large deviations for a sum of independent, identically distributed, light-tailed and non-lattice random vectors. The latter problem besides being of independent interest, also forms a building block for more complex rare event problems that arise, for instance, in queuing and ...

We prove that orbit equivalence of measure preserving ergodic a.e. free actions of a countable group with the relative property (T) is a complete analytic equivalence relation.

In this article we study relationship between three measures of distinguishability of quantum states called as divergence [JRS02], relative entropy and the substate property [JRS02].

Minimization problems with respect to a one-parameter family of generalized relative entropies are studied. These relative entropies, which we term relative α-entropies (denoted Iα), arise as redundancies under mismatched compression when cumulants of compressed lengths are considered instead of expected compressed lengths. These parametric relative entropies are a generalization of the usual r...

Urban crime has increasingly become a major issue for Chinese cities. Using crime data collected at police precincts in 2008, the main aim of this research is to examine the spatial distribution of property crime which accounted for almost 82% of all crimes in the city of Changchun, and analyze the relationship between the spatial patterns of property crime and neighborhood characteristics. Sta...

competition is against monopoly and intellectual property creates monopoly for intellectual property owner. this article had been paid cooperation between apparently contradictory policies. exhaustion, parallel imports, compulsory license, intellectual property exploitation contract that coincide with competition are methods of cooperation between intellectual property and competition law. comp...

We show that the property of admitting a coarse median structure is preserved under relative hyperbolicity for finitely generated groups. 2010 Mathematics Subject Classification : 20F65

Abstract We show that the higher direct image sheaves of relative canonical bundle tensorized with a Nakano semi-positive vector admit singular Hermitian metrics Griffiths curvature and minimal extension property.