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Scaling Limits for Internal Aggregation Models with Multiple Sources
Scaling Limits Internal Aggregation Models Multiple Sources
2015/8/14
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
electron repulsion integral tensor tensor hypercontraction format cubic scaling cost
2015/7/14
Electron repulsion integral tensor has ubiquitous applications in quantum chemistry calculations. In this work, we propose an algorithm which compresses the electron repulsion tensor into the tensor h...
Universal fractal scaling of self-organized networks
Universal fractal scaling self-organized networks
2010/11/10
There is an abundance of literature on complex networks describing a variety of relationships among units in social, biological, and technological systems. Such networks, consisting of interconnected ...
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
A Fractional Model for the Allometric Scaling Laws
Biology Allometric scaling law Caputo fractional derivative Fractional differential equation
2008/11/10
From the available literature, the allometric scaling laws generally exist in biology, ecology, etc. These scaling laws obey power law distributions. A possibly better approach to characterize the pow...