The passage of Brownian motion through a bottleneck in a bounded domain is aView original: http://arxiv.org/abs/1202.2775
rare event and the mean time for such passage increases indefinitely as the
bottleneck's radius shrinks to zero. Its calculation reveals the effect of
geometry and smoothness on the flux through the bottleneck. We find new
behavior of the narrow escape time through bottlenecks in planar and spatial
domains and on a surface. Some applications are discussed.