报告人：徐伟 副教授（北京理工大学）

时间：2025年08月27日 16:00-

地点：理科楼LA103

摘要：Consider a sequence of nearly critical interacting particle systems with chain-reaction and decay. Under some fast decay assumption, we show that the particle systems can be well approximated by a super-Brownian motion after a suitable time-spatial scaling. On the other hand, under some regular variation condition on the decay, we proved the weak convergence of the rescaled interacting particle systems to a novel non-Markovnian super-process, named as time-fractional super-Brownian motion, that can be fully characterized by the Fourier-Laplace functional given in the form of unique solution to a time-fractional F-KPP equation. In particular, the time-fractional super-Brownian motion on the real line is proved to be absolutely continuous with respect to Lebesgue measure. Moreover, the density process is the unique weak solution to a time-fractional parabolic semilinear SPDE driven by a Gaussian white noise.

邀请人：数学研究中心

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