## 24.06.2024 16:30 Partha Pratim Gosh: Extremal Process of Last Progeny Modified Branching Random Walks

In this work, we consider a modification of the usual Branching Random Walk (BRW), where the position of each particle at the last generation 𝑛 is modified by an i.i.d. copy of a random variable 𝑌, which may differ from the driving increment distribution. This model was introduced by Bandyopadhyay and Ghosh (2021) and they termed it as Last Progeny Modified Branching Random Walk (LPM-BRW). Depending on the asymptotic properties of the tail of 𝑌, we describe the asymptotic behaviour of the extremal process of this model as 𝑛 → ∞.

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## 08.07.2024 16:30 Peter Mörters: Metastability of the contact process on evolving scale-free networks

We study the contact process on scale-free inhomogeneous random graphs evolving
according to a stationary dynamics, where the neighbourhood of each vertex is updated
with a rate depending on its strength. We identify the full phase diagram of metastability
exponents in dependence on the tail exponent of the degree distribution and the rate of updating.
The talk is based on joint work with Emmanuel Jacob (Lyon) and Amitai Linker (Santiago de Chile).

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