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Capital requirements on ordered topological vector spaces: finiteness, continuity and optimality
ordered topological vector spaces Frechet and Banach lattices acceptance sets eligible asset risk measures capital adequacy Value-at-Risk Tail Value-at-Risk
2012/9/14
We discuss finiteness (effectiveness), continuity (robustness) and optimality (efficiency) results for capital requirements, or risk measures, defined for financial positions belonging to an ordered t...
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...
The International-Trade Network: Gravity Equations and Topological Properties
International Trade Network Gravity Equation Weighted Network Analysis Topological Properties
2010/11/2
This paper begins to explore the determinants of the topological properties of the international - trade network (ITN). We fit bilateral-trade flows using a standard gravity equation to build a “resid...
Topological identification in networks of dynamical systems
Topological identification networks dynamical systems
2010/12/17
The paper deals with the problem of reconstructing the topological structure of a network of dynamical systems. A distance function is defined in order to evaluate the "closeness" of two processes and...