Convergence in law of the minimum of a branching random walk

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Maximum of the Characteristic Polynomial of Random Unitary Matrices (2015, background): “[9]) follows closely the one used for branching random walks. This started with the seminal work of Bramson [12] for branching Brownian motion and was later extended to general branching random walks [2,3,5,14,15]. Log-correlated models are closely related to Gaussian Multiplicative chaos, see [40] ”
Gaussian multiplicative chaos and applications: A review (2013, background): “By analogy with the branching random walk case ([4]), it is conjectured in [58] : Conjecture 6.”
Convergence in law of the maximum of nonlattice branching random walk (2014, methodology): “In a seminal paper, Aı̈dekon [2] demonstrated convergence of η∗ n in law, after recentering, and gave a representation of the limit.”