Part 16/16:
From understanding the randomness in card shuffling to modeling the behavior of neutrons in nuclear reactions, the structure of the web, and the language we speak, Markov chains are at the heart of modern science and technology. These models exemplify how focusing on the present state of a system—regardless of its complex history—can unlock powerful insights.
Next time you shuffle a deck, predict a word, or search the internet, remember: behind these processes lies a mathematical chain—simple in principle, yet capable of explaining some of the most significant phenomena shaping our world.