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CONNECTION OF KINETIC MONTE CARLO MODEL FOR SURFACES TO ONE-STEP FLOW THEORY IN 1+1 DIMENSIONS
kinetic Monte Carlo Burton–Cabrera–Frank theory low-density approximation near-equilibrium condition master equation maximum principle
2015/10/16
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...
THE RING OF PROJECTIVE INVARIANTS OF EIGHT POINTS ON THE LINE VIA REPRESENTATION THEORY
PROJECTIVE INVARIANTS EIGHT POINTS ON THE LINE VIA
2015/10/14
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds
deformation theory fundamental groups compact hyperbolic 3-manifolds
2015/10/14
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds.
Density,Overcompleteness,and Localization of Frames.I.Theory
Density excess frames Gabor systems modulation spaces overcompleteness Riesz bases wavelets Weyl–Heisenberg systems
2015/9/29
Frames have applications in numerous fields of mathematics and engineering.The fundamental property of frames which makes them so useful is their overcompleteness.In most applications, it is this over...
Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
AMENABILITY AND RAMSEY THEORY
RAMSEY THEORY
2015/8/17
The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amenability constitutes a...
Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
Electronic structure Kohn–Sham density functional theory Discontinuous Galerkin Adaptive local basis set Enrichment functions Eigenvalue problem
2015/7/14
Kohn–Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn–Sham Hamiltonian generally result...
Optimized local basis set for Kohn–Sham density functional theory
Electronic structure Kohn–Sham density functional theory Optimized local basis set Discontinuous Galerkin Trace minimization Molecular dynamics Pulay force GMRES Preconditioning
2015/7/14
We develop a technique for generating a set of optimized local basis functions to solve models in the Kohn–Sham density functional theory for both insulating and metallic systems. The optimized local ...
Element orbitals for Kohn-Sham density functional theory
Element orbitals Kohn-Sham density functional theory
2015/7/14
We present a method to discretize the Kohn-Sham Hamiltonian matrix in the pseudopotential framework by a small set of basis functions automatically contracted from a uniform basis set such as plane wa...
New Ties between Computational Harmonic Analysis and Approximation Theory
Computational Harmonic Analysis Approximation Theory
2015/6/17
Is the connection between approximation theory and harmonic analysis genuine? This question may seem a little provocative,especially in light of the recent literature about the significant interaction...
A Complementary Design Theory for Doubling.
Theory of Complementary Designs and Minimum Aberration Designs
Complementary Designs Minimum Aberration Designs
2015/3/20
Theory of Complementary Designs and Minimum Aberration Designs.
Liouville theory is characterized by the exponential interaction μe2bφ and a coupling to worldsheet curvature QRφ. A typical irrational CFT (c = 1 + 6Q2). Difficult theory solved in late 90’s using th...
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery
Chern Simons theory fractional quantum Hall effect
2015/3/19
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery.
Infinite dimensional Morse theory for geodesics on Finsler manifolds
Infinite dimensional Morse theory geodesics Finsler manifolds
2015/3/18
Infinite dimensional Morse theory for geodesics on Finsler manifolds.