发表机构
Universidade Estadual de Campinas; Universidade de São Paulo（坎皮纳斯州立大学; 圣保罗大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究带长程连接的正整数集上的单词渗流模型，针对随机范围序列和非降确定性范围序列两种情形，均建立了从原点同时发生所有单词渗流的相变。
AI 中文摘要
本文研究带长程连接的正整数集（$\boldsymbol{\blackmathbb{Z}_+}$）上的单词渗流模型，基础图为定向图，由非负范围序列构造而成。第一个模型中范围序列为随机序列，第二个模型中为非降确定性序列。两种情形下，我们均建立了从原点同时发生所有单词渗流的相变。
英文摘要
In this paper, we investigate models of percolation of words on $\mathbb{Z}_+$ with long-range connections. The underlying graph is oriented and constructed according to a sequence of non-negative ranges. In the first model, the sequence of ranges is considered random and, in the second model, deterministic and non-decreasing. In both cases, we establish a phase transition for the occurrence of percolation of all words simultaneously from the origin.
Comments20 pages, 1 figure
