Moments of partition functions of 2D Gaussian polymers in the weak disorder regime. II (Q6595713)

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scientific article; zbMATH DE number 7904058
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Moments of partition functions of 2D Gaussian polymers in the weak disorder regime. II
scientific article; zbMATH DE number 7904058

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    Moments of partition functions of 2D Gaussian polymers in the weak disorder regime. II (English)
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    30 August 2024
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    In this paper, the authors investigate the moments of partition functions of 2D Gaussian polymers in the weak disorder regime. They establish a lower bound for these moments that aligns with the leading order. It is worth noting that the upper bound was previously derived by the same authors in [Commun. Math. Phys. 403, No. 1, 417--450 (2023; Zbl 1525.60081)].
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    high moments of partition functions
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    maxima of log-correlated fields
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    planar random walk intersections
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    two-dimensional subcritical directed polymer
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