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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 ...
Return probability for the loop-erased random walk and mean height in sandpile : a proof
Return probability the loop-erased random walk mean height Statistical Mechanics
2011/7/28
Return probability for the loop-erased random walk and mean height in sandpile : a proof.
We show that all the time-dependent statistical properties of the rightmost points of a branching Brownian motion can be extracted from the traveling wave solutions of the Fisher-KPP equation. We show...
Search on a Hypercubic Lattice using Quantum Random Walk: d>2
Hypercubic Lattice Quantum Random
2010/3/10
Random walks describe diffusion processes, where movement at every time step is restricted to only the neighbouring locations. We construct a quantum random walk algorithm, based on discretisation of ...
Quantum Fluctuations Contribution to the Random Walk of a Single Molecule and New Estimate of the Planck Constant
Quantum Fluctuations Random Walk Planck Constant
2010/3/10
It is shown, by considering the case of the harmonic oscillator, that quantum fluctuations may be the most significant contribution to the random walk of a single molecule. From this point, the contro...
A General Random Walk Model of Molecular Motor
random walk
effective rate constant potential barrier
2007/8/15
2003Vol.40No.2pp.237-240DOI:
A General Random Walk Model of Molecular Motor
WANG Xian-Ju, AI Bao-Quan, LIU Guo-Tao, and LIU Liang-Gang
Department of Physics, Zhongshan U...