A low-limit estimate of average distance between conjugate points on a geodesic with random curvature |
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| Authors: | V. G. Lamburt V. N. Tutubalin |
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| Affiliation: | (1) Department of Probability Theory, Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia |
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| Abstract: | 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. |
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