(K, N)-Convexity and the Curvature-Dimension Condition for Negative N

On the Rational Recursive Sequence X_{N+1}=ƔX_{N-K}+(AX_N+BX_{N-K})⁄(CX_N-DX_{N-K})

Comparison of the Initial Treatment Results of N-myc Positive and N-myc Negative Neuroblastoma Patients

Background: Neuroblastoma is the most common extra cranial malignant solid tumor of childhood. Various molecular and cytogenetic factors have been implicated in the pathogenesis of neuroblastoma, some of which have proven useful in predicting clinical behavior. Over expression of the oncogen N-myc, is an important indicator of prognosis. Materials and Methods: Our study was performed from 20...

on the rational recursive sequence x_{n+1}=ɣx_{n-k}+(ax_n+bx_{n-k})⁄(cx_n-dx_{n-k})

Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

The aim of the present paper is to bridge the gap between the Bakry-Émery and the Lott-Sturm-Villani approaches to provide synthetic and abstract notions of lower Ricci curvature bounds. We start from a strongly local Dirichlet form E admitting a Carré du champ Γ in a Polish measure space (X,m) and a canonical distance dE that induces the original topology of X. We first characterize the distin...

Classical N = 1 and N = 2 super W - algebras from a zero - curvature condition

Starting from superdifferential operators in an N = 1 superfield formulation, we present a systematic prescription for the derivation of classical N = 1 and N = 2 super Walgebras by imposing a zero-curvature condition on the connection of the corresponding first order system. We illustrate the procedure on the first non-trivial example (beyond the N = 1 superconformal algebra) and also comment ...