Stephen Andrew Carter
From DSGroupWiki
| Stephen Andrew Carter | |
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Dept |
Mathematics |
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Phone |
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cartersa@clarkson.edu |
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Office |
SC388 |
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BS |
Clarkson University, Mathematics (2009) |
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MS/MA |
-- |
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PhD |
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PhD Advisor |
Takashi Nishikawa |
Stephen Andrew Carter is a graduate student in the mathematics department at Clarkson University pursuing his PhD in applied mathematics. He is currently working under the advisement of Takashi Nishikawa.
Research Interests
- Study of dynamics of complex networks, synchronization of networks of chaotic systems. Specifically, we have studied how the properties of scale free networks impact synchronization of the networks.
- Study of the connectivity of small world networks, specifically of one and two dimensional lattices. Recent research has been made to improve upon the asymptotic behavior of the Kleinberg Model.
- Personal research interests include computational mathematics involving inverse problems, algorithm improvement, numerical solutions, and simulation data collection.
Talks and Presentations
- Differential Inequalities and Maximum Principles, Presented at 2009 NCSU Research Symposium on Modeling and Industrial Applied Mathematics, Raleigh, NC, July 2009
- Asymptotic Behavior of the Kleinberg Model, Presented at Clarkson University's 2008 SURE Symposium, Potsdam, NY, July 2008
Publications
- S. Carmi, S. Carter, J. Sun, D. ben-Avraham, "Asymptotic Behavior of the Kleinberg Model," Phys. Rev. Lett. 102, 238702 (2009). http://prl.aps.org/abstract/PRL/v102/i23/e238702
