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Introduction to tropical algebraic geometry
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This is an expository introduction to tropical algebraic geometry based on my lectures at the Workshop on Tropical Geometry and Integrable Systems in Glasgow, July 4-8, 2011, and at the ELGA 2011 school on Algebraic Geometry and Applications in Buenos Aires, August 1-5, 2011.
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Tropical Analysis of the Asymptotics of the Perron-Frobenius Eigenvector
The normalized Perron eigenvector of exp(kA) converges to a point in the tropical max-plus eigenspace, and two conjectures locate that point from the shape of the eigenspace.
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