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Despite many examples to the contrary, most models of elections assume that rules determining the winner will be followed. We present a model where elections are solely a public signal of the incumbent popularity, and citizens can protests against leaders that do not step down from power. Compliance with electoral rules is possible when citizens are… (More)
Riemannian first-passage percolation (FPP) is a continuum analogue of standard FPP on the lattice, where the discrete passage times of standard FPP are replaced by a random Riemannian metric. We prove a shape theorem for this model— that balls in this metric grow linearly in time—and from this conclude that the metric is complete.
A systems-biology approach to complex disease (such as cancer) is now complementing traditional experience-based approaches, which have typically been invasive and expensive. The rapid progress in biomedical knowledge is enabling the targeting of disease with therapies that are precise, proactive, preventive, and personalized. In this paper, we summarize… (More)
We model elections between two parties in a Poisson random population of voters (Myerson 1998, 2000). In addition to offering different policy benefits, parties offer contingent prizes to those identifiable groups of voters that offer the highest level of political support. In large populations, voters are only likely to influence the electoral outcome when… (More)
This paper presents a wireframe algorithm that helps visualize embedded Riemannian surfaces in R 3. Using information provided by the induced metric, also known as the first fundamental form defined in the Euclidean space, the algorithm aims to find an isometric embedding of the intrinsic surface in the three-dimensional space. The fundamental idea is to… (More)