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Name: Hairuo Yang 

Talk Title: Scaling limits of branching random walks and branching stable processes

Abstract: Branching-stable processes have recently appeared as counterparts of stable subordinators, when addition of real variables is replaced by branch- ing mechanism for point processes. Here, we are interested in their domains of attraction and describe explicit conditions for a branching random walk to converge after a proper magnification to a branching-stable process. This contrasts with deep results that have been obtained during the last decade on the asymptotic behavior of branching random walks and which involve either shifting without rescaling, or demagnification.

This talk is an invited talk at EVA 2021. View the programme here.