Haodong Zhu

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math.PR2025

Logarithmic typical distances in preferential attachment models

Remco van der Hofstad, Haodong Zhu

We prove that the typical distances in a preferential attachment model with out-degree $m \geq 2$ and strictly positive fitness parameter are close to $lo g_{ν} n$ , where $ν$ is the…

math.PR2024

Random $2$ -SAT: The set of atoms of the limiting empirical marginal distribution

Noela Müller, Ralph Neininger, Haodong Zhu

We show that the set of atoms of the limiting empirical marginal distribution in the random $2$ -SAT model is $Q \cap (0, 1)$ , for all clause-to-variable densities up to the…

Logarithmic typical distances in preferential attachment models

Random 2-SAT: The set of atoms of the limiting empirical marginal distribution

Random $2$ -SAT: The set of atoms of the limiting empirical marginal distribution