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Genericity of Caustics on a corner
Genericity of Caustics math
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2010/11/8
We introduce the notions of the caustic-equivalence and the weak caustic-equivalence relations of reticular Lagrangian maps in order to give a generic classification of caustics on a corner. We give t...
Caustics, counting maps and semi-classical asymptotics
semi-classical asymptotics counting maps Caustics
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2010/4/7
This paper develops a deeper understanding of the structure and combinatorial significance of the partition function for Hermitean random matrices. The coefficients of the large N expansion of the log...
On Internal Wave Caustics
Internal Wave Caustics Ray-tracing models short waves
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2009/1/13
Ray-tracing models of short, oceanic internal waves commonly predict the existence of caustics, where neigh-boring rays cross. Here we present a linear model of short-wave refraction that yields caust...