The Chapman-Kolmogorov equations are fundamental relations in the theory of Markov processes that describe how probabilities of transitions between states behave over time. They essentially connect the probabilities of moving from one state to another in a Markov chain over different time intervals, highlighting the memoryless property of these processes. This concept is essential for understanding how future states depend only on the present state and not on the sequence of events that preceded it.
congrats on reading the definition of Chapman-Kolmogorov Equations. now let's actually learn it.