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…

math.PR2024★ 1 cited

The tail distribution of the partition function for directed polymer in the weak disorder phase

Stefan Junk, Hubert Lacoin

We investigate the upper tail distribution of the partition function of the directed polymer in a random environment on in the weak disorder phase. We show that the d…

math.PR2024

Strong disorder and very strong disorder are equivalent for directed polymers

Stefan Junk, Hubert Lacoin

We show that if the normalized partition function of the directed polymer model on converges to zero, then it does so exponentially fast. This implies that th…