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Based on a description of project networks by max-plus algebra and poset, the adjacency of critical paths is presented using tropical geometry.
Geometry of Feasible Injection Region of Power Networks
Geometry of Feasible Injection Region Optimization and Control Information Theory Power Networks
2011/8/29
Abstract: We investigate the problem of power flow in a network and its implications to the optimal power flow problem. We take a step-by-step approach by looking at the injection region of power netw...
Information Geometry and Evolutionary Game Theory
Information Geometry Evolutionary Game Theory
2010/4/8
The Shahshahani geometry of evolutionary game theory is realized as the information geometry of the simplex, deriving from the Fisher information metric of the manifold of categorical probability dist...