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Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
Statistical Mechanics Random Matrices Orthogonal Polynomials Asymptotics Riemann-Hilbert Problems
2015/1/19
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
This paper investigates the impact and potential
use of the cut-cell vertical discretisation for forecasts covering five days and climate simulations.
Theoretical and Experimental Aspects of the Higgs Mechanism in the Standard Model and Beyond
constraints on Higgs mass Higgs decay modes Higgs production channels
2014/12/12
The Standard Model of particle physics is the best existing theory for describing the interactions between elementary particles. Even though the Standard Model has been confirmed in many experiments, ...
A Closed-Loop Model of the Respiratory System: Focus on Hypercapnia and Active Expiration
Respiratory System Focus on Hypercapnia
2014/12/12
Breathing is a vital process providing the exchange of gases between the lungs and atmosphere. During quiet breathing, pumping air from the lungs is mostly performed by contraction of the diaphragm du...
Statistical Methods for Nonlinear Dynamic Models with Measurement Error Using the Ricker Model
measurement error ricker SIMEX
2014/12/8
In ecological population management, years of animal counts are fit to nonlinear, dynamic models (e.g. the Ricker model) because the values of the parameters are of interest. The yearly counts are sub...
Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media
Poisson-Boltzmann equation layered electrolytes and dielectrics
2014/9/26
This paper will investigate the numerical accuracy and efficiency in computing the
electrostatic potential for a finite-height cylinder, used in an explicit/implicit hy-brid solvation model for ion c...
Discrete Kernel Preserving Model for 1D Electron-Optical Phonon Scattering
D Electron-Optical Phonon Scattering Discrete Kernel Preserving Model
2014/9/26
We investigate the discretization of of an electron-optical phonon scattering using
a nite volume method. The discretization is conservative in mass and is essentially
based on an energy point of v...
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Inviscid model, singularity explicit solutions 2D Boussinesq equations
2014/4/3
We give an example of a well posed, nite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce nite time sing...
The Relative Efficiency of the Conditional Root Square Estimation of Parameter in Inhomogeneous Equality Restricted Linear Model
Generalized Conditional Root Square Estimation Specific Conditional Root Square Estimation Relative Efficiency
2013/1/30
This paper made a discuss on the relative efficiency of the generalized conditional root square estimation and the specific conditional root square estimation in paper [1,2] in inhomogeneous equality ...
This paper studies the partial estimation of Gaussian graphical models from high-dimensional empirical observations. We derive a convex formulation for this problem using $\ell_1$-regularized maximum-...
Calculation of Some Expected Values for Parameterized Mean Model with Gaussian Noise
Calculation Expected Values Parameterized Mean Model Gaussian Noise
2012/11/23
This document derives several expected values related to the parameterized mean model with Gaussian noise and their simplified forms.
Gene-centric gene-gene interaction: A model-based kernel machine method
Allele matching kernel association study gene-clustered SNPs genomic similarity reproducing kernel Hilbert space quantitative traits
2012/11/23
Much of the natural variation for a complex trait can be explained by variation in DNA sequence levels. As part of sequence variation, gene-gene interaction has been ubiquitously observed in nature, w...
The Issue-Adjusted Ideal Point Model
Item response theory Probabilistic topic model Variational inference Legislative voting
2012/11/23
We develop a model of issue-specific voting behavior. This model can be used to explore lawmakers' personal voting patterns of voting by issue area, providing an exploratory window into how the langua...
Model-free multiclass conditional probability estimation via quantile regression
interva lestimate multiclass classication probability estimation quantile regression tuning
2012/11/23
Conventional multiclass conditional probability estimation often requires distributional model assumptions such as Fisher's discriminate analysis and logistic regression. In this paper,a model-free es...