论文标题
攻击的分支过程：病毒竞争市场
Branching Process with Attack: Viral Competing Markets
论文作者
论文摘要
在线社交网络（OSN）广告的显着增加需要研究内容传播。我们分析了病毒市场的内容提供商争夺在OSN上的类似职位的传播。为此，我们需要一个新的分支过程（BP）变体，我们将其称为“攻击的分支过程”；醒来后的实体试图攻击和获取相反的人群；此外，每个实体都会如BPS中所考虑的那样产生其后代。 除了提供个人职位，二分法等增长速度的表达外，我们还探索了职位的共存。竞争内容是否可以在网络上同时传播和爆炸（这两个帖子的未读/实时副本随时间增长）吗？我们证明，一个或两个人群/职位灭绝，或者人口定居于独特的共存平衡，并得出两个人群/柱子的相应渐近比。我们的分析适用于关注群众行为而不是微细节的大型人群网络。我们的研究提供了有关两个关键设计方面的见解，即种子用户的数量和帖子的质量。
The marked increase in advertisements over online social networks (OSNs) necessitates the study of content propagation. We analyse the viral markets with content providers competing for the propagation of similar posts over OSNs. Towards this, we required a new variant of the branching process (BP), which we named as "Branching process with attack"; the entities upon wake up attempt to attack and acquire the opposite population; furthermore, each entity produces its offsprings as is usually considered in BPs. In addition to providing expressions for the growth rates of individual posts, dichotomy etc., we explore the co-existence of posts; can the competing content spread and explode (number of unread/live copies of both posts grow significantly with time) simultaneously over the network? We prove that either one or both populations/posts get extinct or the populations settle to a unique co-existence equilibrium and derive the corresponding asymptotic ratios of the two populations/posts. Our analysis applies to large population networks focusing on mass behaviour, rather than micro details. Our study provides insights into two crucial design aspects, the number of seed users and the quality of the post.
