聖塔非研究所

度量網路上的動態過程

2025-10-17 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The structure of a 網絡 has a major effect on dynamical processes on that 網絡. Many studies of the interplay between 網絡 structure and dynamics have focused on models of phenomena such as 疾病 …

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論文資訊

  • 類型:已發表論文
  • 日期:2025-10-17

摘要

The structure of a 網絡 has a major effect on dynamical processes on that 網絡. Many studies of the interplay between 網絡 structure and dynamics have focused on models of phenomena such as 疾病 spread, opinion formation and changes, coupled oscillators, and random walks that one can describe using coupled ordinary differential equations, difference equations, 隨機 processes, or 智能體-based models. In parallel to these developments, there have been many studies of wave propagation and other spatially extended processes on 網絡s. These latter studies consider metric 網絡s, in which the edges are associated with real intervals. Metric 網絡s give a 數學 framework to describe dynamical processes that include both temporal and spatial 演化 of some quantity of interest such as the concentration of a diffusing substan

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