A limit theorem for branching one-dimensional periodic diffusion processes |
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| Authors: | Kiyoshi Kawazu Yukio Ogura |
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| Institution: | Yamaguchi University, Japan;Saga University, Japan |
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| 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. |
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| Keywords: | branching process diffusion process limit theorem periodic equation spectrum |
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