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A limit theorem for branching one-dimensional periodic diffusion processes

Author

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  • Kawazu, Kiyoshi
  • Ogura, Yukio

Abstract

We give almost sure convergence of appropriately normalized particle numbers in bounded domains of locally supercritical branching diffusion processes with one-dimensional periodic diffusions as their non-branching part processes. Some spectral properties of periodic diffusion operators including Hill's ones are also studied.

Suggested Citation

  • Kawazu, Kiyoshi & Ogura, Yukio, 1984. "A limit theorem for branching one-dimensional periodic diffusion processes," Journal of Multivariate Analysis, Elsevier, vol. 14(3), pages 360-375, June.
  • Handle: RePEc:eee:jmvana:v:14:y:1984:i:3:p:360-375
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