Mathematical model of communication
I am not going to build a complete theory here. Not even the actual mathematics. I just want to note the relevance and indicate a couple of mathematical concepts, it seems to me well suited to describe certain aspects of network communication. In other words, I would just like to initiate a topic.
To begin with, what the process we want to describe looks like in words - people are captured by a certain topic, discussion, there is a rather intensive and rather unpredictable interaction, as a result of which there is a random transition to another topic and everything repeats. The set is more or less limited, so there is a certain cyclical nature. Thus, the process resembles the Brownian motion , for which there is a developed theory. With one exception - grabbing the general attention of a particular topic looks like getting the focus of attention in a strange attractor .
Those. we have a cyclic random walk of focus between strange attractors. In a certain thematic space. Moreover, this is a relative cyclical nature - in fact, the themes are not always strictly repeated, and secondly, getting into an already completed theme takes place “on a new turn of the spiral,” as Hegel used to say. Those. at the new level of accumulated experience. As a result, new themes-attractors can be generated, or old ones merge into one (more precisely, again, according to Hegel, there is a merging and division. The space is thus worked out in detail and understood). This is of course in the ideal version. And in the degenerate there can be really stupid repetition. About this and speech - it was curious to build a mathematical model and explore the dependence on parameters. For example, what will happen if you reduce the length of messages during communication (Twitter), or strictly limit the topic, or how the size and composition of a community, its social graph, influence. Or how external factors influence this process.
Such things would allow to model and predict the behavior of users in different conditions, to build services, based on this. And not just to act empirically - I launched it on the market, I looked at the reaction.
To begin with, what the process we want to describe looks like in words - people are captured by a certain topic, discussion, there is a rather intensive and rather unpredictable interaction, as a result of which there is a random transition to another topic and everything repeats. The set is more or less limited, so there is a certain cyclical nature. Thus, the process resembles the Brownian motion , for which there is a developed theory. With one exception - grabbing the general attention of a particular topic looks like getting the focus of attention in a strange attractor .
Those. we have a cyclic random walk of focus between strange attractors. In a certain thematic space. Moreover, this is a relative cyclical nature - in fact, the themes are not always strictly repeated, and secondly, getting into an already completed theme takes place “on a new turn of the spiral,” as Hegel used to say. Those. at the new level of accumulated experience. As a result, new themes-attractors can be generated, or old ones merge into one (more precisely, again, according to Hegel, there is a merging and division. The space is thus worked out in detail and understood). This is of course in the ideal version. And in the degenerate there can be really stupid repetition. About this and speech - it was curious to build a mathematical model and explore the dependence on parameters. For example, what will happen if you reduce the length of messages during communication (Twitter), or strictly limit the topic, or how the size and composition of a community, its social graph, influence. Or how external factors influence this process.
Such things would allow to model and predict the behavior of users in different conditions, to build services, based on this. And not just to act empirically - I launched it on the market, I looked at the reaction.
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Source: https://habr.com/ru/post/147738/
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