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Isoperimetric inequality and area growth of surfaces with bounded mean curvature
mean curvature hyperbolic space area growth minimal surface
2014/12/8
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurface M contained in a Riemannian manifold N. This lower bound depends only on an upper bound for the a...
Arbitrage-free SVI volatility surfaces
Arbitrage-free SVI volatility surfaces Pricing of Securities
2012/4/28
In this article, we show how to calibrate the widely-used SVI parameterization of the implied volatility surface in such a way as to guarantee the absence of static arbitrage. In particular, we exhibi...
Exploring complex networks via topological embedding on surfaces
Complex Networks Maximal Embedded Graphs Triangulations Topological Froths Surface genus Hyperbolic networks
2011/7/20
We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of topological...