Through analysis, we point out Luo et al.’s and Sun et al.’s signcryption-based concurrent signature schemes have the same defect in ambiguity and therefore the fair exchange protocols based on their schemes are not fair. Thus based on the notions of signcryption and concurrent signature, a new signcryption-based concurrent signature scheme from bilinear pairing is presented, and based on this ...

The purpose of this paper is to derive and analyze methods for examining the stability of solutions of partial differential equations modeling collections of excitable cells. In particular, we derive methods for estimating the principal eigenvalue of a linearized version of the Luo-Rudy I model close to an equilibrium solution. It has been suggested that the stability of a collection of unstabl...

Recently S. Luo and Q. Zhang proved a different kind of uncertainty principle (see [3], Theorem 2), in the SchrNodinger form, where the lower bound appears because the variables A,B are not commuting with the state ρ (in contrast with standard uncertainty principle where the bound depends on the commutator [A,B]). This result was conjectured by S. Luo himself and Z. Zhang in a previous paper [4...

Theorem 2. Suppose Σg,n is a compact orientable surface of genus g with n boundary components. Let {a1, ...., a3g−3+2n} be a 3-holed sphere decomposition of the surface where ∂Σg,n = a3g−2+n ∪ ... ∪ a3g−3+2n. Then each orientation preserving homeomorphism of the surface which is the identity map on ∂Σg,n is isotopic to a composition qp where p is positive and q is a composition of negative Dehn...

Discrete Ricci Flow for Geometric Routing Name: Jie Gao, Xianfeng David Gu, Feng Luo Affil./Addr. 1: Department of Computer Science, Stony Brook University, Stony Brook, NY, USA Affil./Addr. 2: Department of Mathematics, Rutgers University, Piscataway, NJ, USA