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Reducing Search Lengths with Locally Precomputed Partial Random Walks
Random walk network search resource location search length
2011/8/18
Abstract: Random walks can be used to search a complex networks for a desired resource. To reduce the number of hops necessary to find the resource, we propose a search mechanism based on building ran...
A random walk on image patches
image patches diffusion maps Laplacian eigenmaps graph Laplacian commute time Statistics and Probability
2011/8/2
Abstract: In this paper we address the problem of understanding the success of algorithms that organize patches according to graph-based metrics. Algorithms that analyze patches extracted from images ...
Critical behavior of the Random-Field Ising Magnet with long range correlated disorder
random- eld Ising model, correlated disorder, corrections to scaling
2011/9/29
We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations ...
A new family of solvable Pearson-Dirichlet random walks
Pearson-Rayleigh random walks random flights Dirichlet distribution gamma distribution Gauss hypergeometric function Bessel numbers Inverse Laplace transform
2011/9/6
A n-step Pearson-Gamma random walk in dstarts at the origin and consists of n independent steps with gamma distributed lengths and uniform orientations. The gamma distribution of each step length has ...
The effective conductivity of arrays of squares: large random unit cells and extreme contrast ratios
Random checkerboard, Homogenization, Integral equation,Fast solver, Metamaterial
2011/8/31
An integral equation based scheme is presented for the fast and accurate computation of effective conductivities of two-component checkerboard-like composites with complicated unit cells at very high ...
Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions
Self-consistent Continuum Random Phase Approximation calculations finite-range interactions
2011/1/7
We present a technique which allows us to solve the Random Phase Approximation equations
with finite-range interactions and treats the continuum part of the excitation spectrum without
approximation...