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Assortativity and clustering of sparse random intersection graphs
assortativity clustering power law random graph random intersection graph 2010 Mathematics Subject Classifications 05C80 05C82 91D30
2012/11/23
We consider sparse random intersection graphs with the property that the clustering coefficient does not vanish as the number of nodes tends to infinity. We find explicit asymptotic expressions for th...
Inequality for Variance of Weighted Sum of Correlated Random Variables
Variance Covariance Random Variable Chebyshev!ˉs Inequality Correlated Random Variable Positive Semidefinite Matrix Law of Large Numbers
2012/11/23
The upper bound inequality for variance of weighted sum of correlated random variables is derived according to Cauchy-Schwarz's inequality, while the weights are non-negative with sum of 1. We also gi...
Passive scalar transport in peripheral regions of random flows
Passive scalar transport peripheral regions random flows
2010/4/6
We investigate statistical properties of the passive scalar near boundaries (walls) in random (turbulent) flows assuming weakness of its diffusion. Then at advanced stages of the passive scalar mixing...