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摘要
This paper concerns the almost sure time-dependent local extinction behavior for super-coalescing Brownian motion X with (1 + beta)-stable branching and Lebesgue initial measure on R. We first give a representation of X using excursions of a continuous-state branching process and Arratia's coalescing Brownian flow. For any nonnegative, nondecreasing, and right-continuous function g, let tau := sup{t >= 0 : X-t ([-g(t), g(t)]) > 0}, We prove that P {tau = infinity} = 0 or 1 according as the integral integral(infinity)(1) g(t)t(-1-1/beta) dt is finite or infinite.
- 出版日期2013-3
- 单位北京师范大学
