Critical branching diffusions in bounded domains.

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• Ellen Powell (Cambridge)
• Tuesday 15 November 2016, 16:30-17:30
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.

If you have a question about this talk, please contact Perla Sousi.

I will discuss branching diffusions in a bounded domain D in which particles are killed upon hitting the boundary. It is known that any such process undergoes a phase transition when the branching rate reaches a critical value: the first eigenvalue of the generator of the diffusion. I will consider various properties of the critical system, including the structure of the associated genealogical tree. When the system is conditioned to survive for a long time, it turns out that this tree converges to the Brownian CRT .

This talk is part of the Probability series.

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