Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including diffusion, interactions, and opinions among humans and animals; and can be used to extract information about important entities or dense groups of entities in a network. Random walks have been studied for many decades on both regular lattices and (especially in the last couple of decades) on networks with a variety of structures. In the present article,  survey the theory and applications of random walks on networks, restricting ourselves to simple cases of single and non-adaptive random walkers.  distinguish three main types of random walks: discrete-time random walks, node-centric continuous-time random walks, and edge-centric continuous-time random walks.  first briefly survey random walks on a line, and then  consider random walks on various types of networks.  extensively discuss applications of random walks, including ranking of nodes (e.g., PageRank), community detection, respondent-driven sampling, and opinion models such as voter models.
['Naoki Masuda', 'Mason A. Porter', 'Renaud Lambiotte']
I am writing a research paper on a idea Random walks and diffusion on networks
[{"from": "human", "value": "I am writing a research paper on a idea Random walks and diffusion on networks"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including diffusion, interactions, and opinions among humans and animals; and can be used to extract information about important entities or dense groups of entities in a network. Random walks have been studied for many decades on both regular lattices and (especially in the last couple of decades) on networks with a variety of structures. In the present article,  survey the theory and applications of random walks on networks, restricting ourselves to simple cases of single and non-adaptive random walkers.  distinguish three main types of random walks: discrete-time random walks, node-centric continuous-time random walks, and edge-centric continuous-time random walks.  first briefly survey random walks on a line, and then  consider random walks on various types of networks.  extensively discuss applications of random walks, including ranking of nodes (e.g., PageRank), community detection, respondent-driven sampling, and opinion models such as voter models."}]