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A Spine Approach to the Many-to-One Formula for Continuous Time Multitype Branching Processes

Yang Ting Ren Yanxia~* LMAM School of Mathematical Sciences;Peking University;Beijing;100871;P.R.China

  In this paper we use the spine approach to give an intuitive proof of the Many-to-One result for continuous time multitype branching processes,which enables expectations of sums over particles to be calculated purely in terms of an expectation of one spine particle.……