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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...
Compress-and-Forward Scheme for a Relay Network: Approximate Optimality and Connection to Algebraic Flows
Compress-and-Forward Scheme Relay Network Approximate Optimality Connection Algebraic Flows
2011/1/17
We study a wireless relay network, with a single source and a single destination.Our main result is to show that an appropriate compress-and-forward scheme supports essentially the same reliable data ...
Rainbow connection number, rc(G), of a connected graph G is the minimum number of colours needed to colour its edges, so that every pair of vertices is connected by at least one path in which no two e...
An Inequality for Chebyshev Connection Coefficients
Chebyshev coefficient Ultraspherical polynomial Polynomial expansion
2008/7/2
Equivalent conditions are given for the nonnegativity of the coefficients of both the Chebyshev expansions and inversions of the first n polynomials defined by a certain recursion relation. Consequenc...
The Variogram and Estimation Error in Connection with the Assessment of Continuous Streams
Variograms Estimation Error Estimation Error Variance Kriging Holder-type Variograms Ostrowski's Inequality Continuous Space Continuous Time Stochastic Process
2008/6/26
The paper briefly reviews the concept of the variogram and the estimation error variance in connection with certain estimation problems. This is done in the context of their development in mineralogy....