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Complexity Centre and MathSys CDT events carry priority over room D1.07.

To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk

Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.

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Complexity Forum: Cécile Mailler (University of Bath)

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Location: D1.07 Complexity Science

Non-extensive condensation in reinforced branching processes

In this joint work with Steffen Dereich and Peter Mörters, we introduce and study a branching process with both a reinforcement and a mutation dynamics. Our model incompasses as a particular case the Bianconi and Barabási's preferential attachment graph with fitnesses but also a selection and mutation population branching process. We prove that this model exhibits, under some conditions on the parameters, a condensation phenomenon, and more precisely that ``the winner does not take it all'', disproving a claim made in the physics literature about the Bianconi and Barabási's model.

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Lunch Group 4

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