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科学研究
报告题目:

herglotz-bochner theorem for a new stochastic processes on rooted trees and its application

报告人:

qiuyanqi yanjiuyuan(zhongguokexueyuanshuxuesuo)

报告时间:

报告地点:

lixueyuandongbeilouerloubaogaoting(209)

报告摘要:

we propose a definition of branching-type stationary stochastic processes on rooted trees. we then obtain (1) a necessary and sufficient condition on a rooted tree for the existence of non-trivial branching-type stationary stochastic processes on it, (2) a complete criterion of the spectral measures of branching-type stationary stochastic processes in the setting of rooted homogeneous trees in terms of a variant of the classical herglotz-bochner theorem, (3) a prediction theory result for branching-type stationary stochastic processes. as an unexpected application, we obtain natural hypercontractive inequalities for hankel operators with hyper-positive symbols. this talk is based on a joint work with zipeng wang.

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