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- W4313397966 abstract "We study models for a directed polymer in a random environment (DPRE) in which the polymer traverses a hierarchical diamond graph and the random environment is defined through random variables attached to the vertices. For these models, we prove a distributional limit theorem for the partition function in a limiting regime wherein the system grows as the coupling of the polymer to the random environment is appropriately attenuated. The sequence of diamond graphs is determined by a choice of a branching number b∈{2,3,…} and segmenting number s∈{2,3,…}, and our focus is on the critical case of the model where b=s. This extends recent work in the critical case of analogous models with disorder variables placed at the edges of the graphs rather than the vertices." @default.
- W4313397966 created "2023-01-06" @default.
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- W4313397966 date "2023-04-01" @default.
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- W4313397966 title "Weak-disorder limit for directed polymers on critical hierarchical graphs with vertex disorder" @default.
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- W4313397966 doi "https://doi.org/10.1016/j.spa.2022.12.014" @default.
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