Limited Resources in a Driven Diffusion Process

Diffusion-limited Aggregation Driven by Optimal Transportation

In this article, we combine the DLA model of Witten and Sander with ideas from optimal transportation. We propose a modification of the DLA model in which the probability of sticking is inversely proportional to the additional transport cost from the point to the root. We used a family of cost functions parametrized by a parameter α as studied in ramified optimal transportation. α < 0 promotes ...

Hydrogen desorption in SiGe films: A diffusion limited process

Project selection with limited resources in data envelopment‎ ‎analysis‎

‎In this paper allocating a fixed resource for producing ‎finite projects in order to obtaining a desired level of‎ ‎efficiency will be discussed‎. ‎Note that it is assumed that a ‎vector of limited sources is at hand‎. ‎This vector of resources can‎ ‎be contained human resource‎, ‎budget‎, ‎equipment‎, ‎and facilities‎. ‎In ‎any firm there exist different suggestions from subunits for ‎running...

A Diffusion-Limited Reaction

Fluctuations in diffusion-controlled reactions lack the necessary features for a mesoscopic description. We show how the correlations dominate the dynamics by juxtaposing the macroscopic dynamics of a cellular automaton model for the diffusion-controlled limit to the deterministic diffusion-reaction rate equation for the same reaction. A more detailed N-body master equation is then presented in...

Interestingness-Driven Diffusion Process Summarization in Dynamic Networks

The widespread use of social networks enables the rapid diffusion of information, e.g., news, among users in very large communities. It is a substantial challenge to be able to observe and understand such diffusion processes, which may be modeled as networks that are both large and dynamic. A key tool in this regard is data summarization. However, few existing studies aim to summarize graphs/ne...