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A low-limit estimate of average distance between conjugate points on a geodesic with random curvature

V.G. Lamburt, V.N. Tutubalin

Moscow University Physics Bulletin 2007. 62. N 2. P. 70

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Annotation

The minimum distance between conjugate points on a geodesic with the curvature given by a random renewal process is estimated. It is shown that, in the zero-curvature limit, the problem is reduced to analysis of the intersection of the level by a certain diffusion process with reflection.

Authors
V.G. Lamburt, V.N. Tutubalin
Department of Probability Theory, Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Issue 2, 2007

Moscow University Physics Bulletin

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