Bounding expected values on random polygons
Berglund, Michael William
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Random walks of various types have been studied for more than a century. Recently, a new measure on the space of fi xed total length random walks in 2 and 3 dimensions was introduced. We will develop de Finetti-style results to help better understand this measure. Along the way, we will demonstrate how to apply these results to better understand these polygons by bounding the expectations of any locally determined quantity, such as curvature or torsion.