We estimate the heavy quark effective theory parameter λ1 from inclusive semileptonic B-meson decay spectrum. By using recent CLEO double lepton tagging data of B → Xeν, which shows the lepton momentum as low as 0.6 GeV, we extracted λ1 ∼ −0.58 GeV. We also derived Λ ∼ 0.46 GeV and |Vcb| = 0.041 ± 0.002. [email protected] [email protected], http://phya.yonsei.ac.kr/ ̃cskim/

We extend, in the context of real semisimple Lie group, a result of T. Yamamoto which asserts that lim m→∞ [si(X m)]1/m = |λi(X)|, i = 1, . . . , n, where s1(X) ≥ · · · ≥ sn(X) are the singular values, and λ1(X), . . . , λn(X) are the eigenvalues of the n× n matrix X, in which |λ1(X)| ≥ · · · ≥ |λn(X)|.

The statistical inference drawn from the difference between two independent Poisson parameters is often discussed in medical literature. Kawasaki and Miyaoka (2012) proposed an index θ = P(λ1,post < λ2,post), where λ1,post and λ2,post denote Poisson parameters following posterior density. A new calculation method is proposed using MCMC and an approximate expression and exact expression for θ ar...

Lisa Traynor has described an example of a two-component Legendrian ‘circular helix link’ Λ0 ⊔ Λ1 in the 1-jet space of the circle (with its canonical contact structure) that is topologically but not Legendrian isotopic to the link Λ1 ⊔Λ0. We give a complete classification of the Legendrian realisations of this topological link type.

We study the spectral radius of connected non-regular graphs. Let λ1(n,Δ) be the maximum spectral radius among all connected non-regular graphs with n vertices and maximum degree Δ. We prove that Δ− λ1(n,Δ)=Θ(Δ/n). This improves two recent results by Stevanović and Zhang, respectively. © 2007 Elsevier Inc. All rights reserved.

where κ = 0, . . . , n, and λj is pure imaginary precisely when 1 ≤ j ≤ κ, and λ1, −λ1, . . . , λn, −λn are eigenvalues of Hzz(0)J with z = (x, y) and Jxj = yj = −J yj. One says that λ1, . . . , λn are non-resonant, if λ ·α ≡ λ1α1 + · · ·+λnαn 6= 0 for all multi-indices of integers α 6= 0. The Birkhoff normal form says that under the non-resonance condition on λ, there is a formal symplectic tr...

Let (M‾,〈,〉,eψ) be a Riemannian manifold with density, and let M closed n-dimensional submanifold of M‾ the induced metric density. We give an upper bound on first eigenvalue λ1 problem for Δψ (the Laplacian associated to density) in terms average norm vector H→ψ+∇‾ψ respect volume form by where H→ψ is mean curvature density eψ. When M‾=Rn+k or M‾=Sn+k−1, equality between its implies that eψ Ga...

Newman’s measure for (dis)assortativity, the linear degree correlation coefficient ρD, is reformulated in terms of the total number Nk of walks in the graph with k hops. This reformulation allows us to derive a new formula from which a degree-preserving rewiring algorithm is deduced, that, in each rewiring step, either increases or decreases ρD conform our desired objective. Spectral metrics (e...