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Hitting of submanifolds by diffusions
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  • Published: March 1988

Hitting of submanifolds by diffusions

  • S. Ramasubramanian1 

Probability Theory and Related Fields volume 78, pages 149–163 (1988)Cite this article

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Abstract

It is proved that a (d-2) or lower dimensionalC 2-submanifold is a polar set for a nondegenerated-dimensional diffusion process. A similar result is established also for diffusions in a closed half space with reflecting boundary conditions.

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References

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Authors and Affiliations

  1. Stat-Math Division, Indian Statistical Institute, 8th Mile, Mysore Road, 560059, Bangalore, India

    S. Ramasubramanian

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  1. S. Ramasubramanian
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Cite this article

Ramasubramanian, S. Hitting of submanifolds by diffusions. Probab. Th. Rel. Fields 78, 149–163 (1988). https://doi.org/10.1007/BF00718043

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  • Received: 16 January 1987

  • Revised: 08 December 1987

  • Issue Date: March 1988

  • DOI: https://doi.org/10.1007/BF00718043

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Keywords

  • Boundary Condition
  • Stochastic Process
  • Probability Theory
  • Diffusion Process
  • Mathematical Biology
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