most citedStructural robustness of networks with degree-degree correlations between second-nearest neighbors

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math.PR2025

Coincidence of critical points for directed polymers for general environments and random walks

Stefan Junk, Hubert Lacoin

For the directed polymer in a random environment (DPRE), two critical inverse-temperatures can be defined. The first one, , separates the strong disorder regime (in which the…

math.PR2024

Equivalence of fluctuations of discretized SHE and KPZ equations in the subcritical weak disorder regime

Stefan Junk, Shuta Nakajima

We study the fluctuations of discretized versions of the stochastic heat equation (SHE) and the Kardar-Parisi-Zhang (KPZ) equation in spatial dimensions in the weak disor…