13 research outputs found
Phase transitions for edge-reinforced random walks on the half-line
We study the behaviour of a class of edge-reinforced random walks {on
}, 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
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