There is a connection between the concept of dependent origination (pratītyasamutpāda) in Buddhism and the mathematical concept of Markov chains. Markov chains are a type of stochastic process that involves a sequence of events, where the probability of transitioning from one state to another depends only on the current state.
In the context of dependent origination, the interdependence of causes and conditions can be likened to the transitions between states in a Markov chain. Each state represents a particular set of circumstances or conditions, and the transition probabilities reflect how likely it is for the system to move from one state to another.
Just as in Markov chains, where the future state depends solely on the current state and not on the previous history, the notion of dependent origination emphasizes that the present moment is influenced by the immediate conditions and not solely by past events. The focus is on the present state of affairs and how it shapes the future.
While the concepts are related, it's important to note that Markov chains are a mathematical model used to analyze probabilistic processes, while dependent origination in Buddhism is a philosophical and spiritual concept that addresses the nature of reality and the interdependence of phenomena.
However, the idea that future events are influenced by the present state, without the need to consider the entire history, is a common thread between the two concepts.
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