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The 10th ICSA International Conference on Global Growth of Modern Statistics in the 21st Century
statistics probability,
2016/7/19
The 10th ICSA international conference will be held at Xuhui campus of Shanghai Jiao Tong University in China, on December 19-22, 2016. The International Chinese Statistical Associ-ation (ICSA) is a n...
ANISOTROPIC STEP STIFFNESS FROM A KINETIC MODEL OF EPITAXIAL GROWTH
epitaxial growth island dynamics step edge adatoms edge-atoms surface diffusion step stiffness line tension step edge kinetics kinetic steady state Gibbs–Thomson formula Ehrlich–Schwoebel barrier step permeability
2015/10/16
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs–Thomson-type formula and the associated step stiffness as a function of the step edge orientation a...
We study theoretical aspects of step fluctuations on vicinal surfaces by adding conservative white noise to the Burton-Cabrera-Frank model in one spatial dimension. We consider material deposition fro...
Characterizing equilibrium in epitaxial growth
Characterizing equilibrium epitaxial growth
2015/10/16
Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is d...
Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions
step flow atomistic scheme epitaxial growth 1+1 dimensions
2015/10/16
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
Gender Differences in Growth in Mathematical Skills During Secondary Grades: A Growth Model Analysis
Mathematical Skills Growth
2015/9/28
The purpose of this study was to examine differences in the rate at which males and females acquired mathematical skills during secondary grades and to determine the relationship between their rates o...
Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
2015/9/25
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
We study the rate of convergence of symmetric random walks on finite
groups to the uniform distribution. A notion of moderate growth is introduced
that combines with eigenvalue techniques to give sh...
FAST GROWTH IN THE FOLNER FUNCTION FOR THOMPSON’S GROUP F
FAST GROWTH FOLNER FUNCTION THOMPSON’S GROUP F
2015/8/17
The purpose of this note is to prove a lower bound on the growth of Følner functions for Thompson’s group F . Specifically I will prove that, for any finite generating set Γ ⊆ F , there is ...
We study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Zd. Any site with at least 2d particles then topples by sending one partic...
We give an algorithm that computes the final state of certain growth models without computing all intermediate states. Our technique is based on a “least action principle” which characterizes the odom...
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES
Growth model games algebra Lagrange inversion feature classes
2015/7/14
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES.
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS
Moderate growth random walk limited group
2015/7/14
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
School Attendance: Equities and inequities in growth trajectories of academic performance
School Attendance Equities and inequities
2015/6/2
Much of the pedagogical as well as political tension in the discussion about the effects of education on the development of children has been focused on the importance of the quality of education as d...
Variational problems with linear growth in dimension 1
Variational problems linear growth dimension 1
2015/4/3
Variational problems with linear growth in dimension 1.