Probability and Statistics in Complex Systems

Recent progress in both diagnostic and therapeutic technique of hepatocellular carcinoma appears to improve the prognosis. The purpose of this study was designed to evaluate the prognosis of HCC in relation to treatment methods and their affecting factors by the treestructured model. This paper attempt to identify and quantify the effect of prognostic factors namely, patient characteristics that related to the prognosis of Hepatocellular Carcinoma. Our proposed survival tree model uses statistical tests for the modified Cox-Snell residuals derived from fitting a Cox proportional hazards model, and therefore it can detect curvature of covariates and interactions among them. As a result, split covariate selection bias is negligible. Furthermore, our proposed piecewise constant modeling can be generalized with piecewise multiple linear modeling without much computational burden. The IMA Postdoc Seminar is organized by Balaji Gopalakrishnan and Antar Bandyopadhyay. 12:45-2:15 pm Random Matrices G. Anderson and O. Zeitouni This course (Math 8660) meets in Physics 133 Wednesday, October 8 The 10:30 IMA break will be in Lind Hall 400. BROWN BAG SEMINAR, Lind Hall 409: 12:00 Lili Ju IMA Numerical Simulations of the Quantized Vortices in a Thin Superconducting Hollow Sphere Abstract: In this talk, we investigate the vortex nucleation in a thin superconducting hollow sphere. The problem is studied using a simplified system of Ginzburg-Landau equations. We present finite volume methods which preserve the discrete gauge invariance for the time dependent simulation. The spatial discretization is based on a spherical centroidal Voronoi tessellation which offers a very effective high resolution mesh on the sphere for the order parameter as well as other physically interesting variables such as the super-current and the induced magnetic field. Various vortex configurations and energy diagrams are computed. In this talk, we investigate the vortex nucleation in a thin superconducting hollow sphere. The problem is studied using a simplified system of Ginzburg-Landau equations. We present finite volume methods which preserve the discrete gauge invariance for the time dependent simulation. The spatial discretization is based on a spherical centroidal Voronoi tessellation which offers a very effective high resolution mesh on the sphere for the order parameter as well as other physically interesting variables such as the super-current and the induced magnetic field. Various vortex configurations and energy diagrams are computed. COMPLEX SYSTEMS SEMINAR, Lind Hall 409: