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Most existing SAR image change detection algorithms only consider single pixel information of different images, and not consider the spatial dependencies of image pixels. So the change detection resul...
The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar...
The CreditRisk + model is widely used in industry for computing the loss of a credit port-folio. The standard CreditRisk + model assumes independence among a set of common risk factors, a simplified a...
Theinositoltrisphosphatereceptor(IPR) is acrucialionchannelthat regulatestheCa 2+influx from the endoplasmic reticulum (ER) to the cytoplasm. A thorough study of the IPR channel contributes to a bette...
For the regression parameter β0 in the Cox model, there have been several estimators constructed based on various types of approximated likelihood, but none of them has demonstrated small-sample advan...
The currently existing estimation methods and goodness-of-fit tests for the Cox model mainly deal with right censored data, but they do not have direct extension to other complicated types of censored...
Let ( ˆ n;  ˆn) denote the Gauss–Newton estimator of the parameter (; ) in the autoregression model Zij = Zi−1; j + Zi; j−1 − Zi−1; j−1 + ij. It is sho...
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...
In Bose–Einstein condensation (BEC), particles occupy a single-particle quantum state, , macroscopically. At zero temperature, the wavefunction for  is usually described via a nonlinear Schrodinger ...
We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the ...
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
We formulate and implement a generalized island-dynamics model of epitaxial growth based on the level-set technique to include the effect of an additional energy barrier for the attachment and detachm...
In the recent papers [4, 5] the authors study the existence of weak solutions and the hydrodynamic limit of kinetic flocking equations with strong local alignment. The introduction of a strong local a...
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...

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