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Brownian excursion area, Wright's constants in graph enumeration, and other Brownian areas
Brownian excursion area graph enumeration
2009/5/18
This survey is a collection of various results and formulas by different authors on the areas (integrals) of five related processes, viz. Brownian motion, bridge, excursion, meander and double meander...
We consider the limit distribution of the orders of the k largest components in the Erdös-Rényi random graph inside the ``critical window'' for arbitrary k. We prove a local limit theorem for thi...