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Variational principles for average exit time moments for diffusions in Euclidean space
Authors:Kimberly K J Kinateder  Patrick McDonald
Institution:Department of Mathematics, Wright State University, Dayton, Ohio 45435

Patrick McDonald ; Department of Mathematics, New College of the University of South Florida, Sarasota, Florida 34243

Abstract:Let $D$ be a smoothly bounded domain in Euclidean space and let $X_{t}$ be a diffusion in Euclidean space. For a class of diffusions, we develop variational principles which characterize the average of the moments of the exit time from $D$ of a particle driven by $X_{t},$ where the average is taken over all starting points in $D.$

Keywords:Diffusions  exit times  variational principles
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