In the holographic model of QCD suggested by Sakai and Sugimoto, baryons are chiral solitons sourced by D4 instantons in bulk of size 1/ √ λ with λ = gNc. We quantize the D4 instanton semiclassically using ~ = 1/(Ncλ) and non-rigid constraints on the vector mesons. The holographic baryon is a small chiral bag in the holographic direction with a Cheshire cat smile. The vector-baryon interactions...

Two related problems are treated in continuous time. First, the state agreement problem is studied for coupled nonlinear differential equations. The vector fields can switch within a finite family. Associated to each vector field is a directed graph based in a natural way on the interaction structure of the subsystems. Generalizing the work of Moreau, under the assumption that the vector fields...

The Peierls instability in multichannel metal nanowires is investigated. Hyperscaling relations are established for the finite-size, temperature, and wave-vector scaling of the electronic free energy. It is shown that the softening of surface modes at wave vector q=2kF, leads to critical fluctuations of the wire’s radius at zero temperature, where kF, is the Fermi wave vector of the highest occ...

We briefly recall Micciancio’s “cleaned-up version” of GGH cryptosystems [GGH97, Mic01]. The secret and public keys are “good” and “bad” bases of some lattice Λ. More specifically, the keyholder generates a good basis by choosing Bsk to be a basis of short, “nearly orthogonal” vectors. Then it sets the public key to be the Hermite normal form of the same lattice, Bpk def = HNF(Λ(Bsk)). A cipher...

In this paper, a feature-preserving interpolative vector quantization method is proposed to compress images. The proposed method preserves the average color and color contrast on generating the approximation image and preserves mean, variance, and average radius on quantizing the residual image which is generated by subtracting the approximation image from the source image. The experimental res...

In this note we study stability radii of positive linear discrete-time systems under real or complex parameter perturbations. A simple formula for the real stability radius is established and it is shown that the real and the complex stability radii of positive systems coincide. These results are derived for arbitrary perturbation norms induced by monotonic vector norms (e.g. p-norms, 1 p 1). N...

THEOREM 1. Given matrix H and vector d, the algorithm converges. The number of iteration depends on parameters  and . PROOF. The convergence of the algorithm depends on Equation (6). Equation (6) converges if and only if 1 ) (  H   , where ) ( H   is the spectral radius of matrix H  . Since j and for each row i of matrix H, either    ) ( 1 ) , ( i Ne j j i h 0 ) , (  i h or    ) ...

A novel method is proposed for elastic matching of two data volumes. A combination of mutual information, gradient information and smoothness of transformation is used to guide the deformation of another of the volumes. The deformation is accomplished in a multiresolution process by spheres containing a vector field. Position and radius of the spheres are varied. The feasibility of the method i...

Indexing terms: Coding, Image processing, Fractal transforms In this letter the contractivity of existing fractal transforms for use in image compression schemes is examined. The coding process is described as nonlinear transformation in the finite dimensional euclidean vector space. We derive sufficient conditions for contractivity based on the spectral norm and the spectral radius of the tran...

We analyze the vector multiplet prepotential of d = 4, N = 2 type IIA compactifications. We find that the worldsheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension being compactified on a circle of radius gsls. We argue that the relation between spacetime and worldsheet instantons is natural from this point of view. We al...