### Abstract

We study long-time estimates for transition probabilities of reflecting-barrier Brownian motions in domains with infinitely many obstacles. We give a criterion for their being of the same order as a standard Brownian motion.

Original language | English |
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Title of host publication | Probability theory and mathematical statistics (Tokyo, 1995) |

Place of Publication | River Edge, NJ |

Publisher | World Science Publisher |

Pages | 396–402 |

Number of pages | 7 |

Publication status | Published - 1996 |

Externally published | Yes |

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## Cite this

Osada, H. (1996). Long time estimates for transition probabilities of reflecting barrier Brownian motions. In

*Probability theory and mathematical statistics (Tokyo, 1995)*(pp. 396–402). World Science Publisher.