13 research outputs found

    Phase transitions for edge-reinforced random walks on the half-line

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    We study the behaviour of a class of edge-reinforced random walks {on Z+\mathbb{Z}_+}, with heterogeneous initial weights, where each edge weight can be updated only when the edge is traversed from left to right. We provide a description for different behaviours of this process and describe phase transitions that arise as trade-offs between the strength of the reinforcement and that of the initial weights. Our result aims to complete the ones given by Davis~\cite{Davis89, Davis90}, Takeshima~\cite{Takeshima00, Takeshima01} and Vervoort~\cite{Vervoort00}.Comment: 16 pages, 1 figur

    Progress in interdisciplinarity: bibliometric analysis of the diversity of researchersā€™ fields of specialization over a 20-year period

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    Background. To support the development of interdisciplinary research effectively, it is essential to provide research funding that takes into account the interdisciplinary characteristics of the field.Published versionThis work was supported by JSPS KAKENHI Grant Numbers JP21K12592, JP21K21303, and JP22K18147
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