Quantum mechanics is among the most successful physical frameworks that humanity has discovered, and it underlies our present understanding of nature at the smallest scales. One way of thinking about quantum mechanics, which you might hear about in a chemistry class, involves wavefunctions. However, there is a completely different and quite beautiful perspective on this subject which connects it with a branch of mathematics called "stochastic processes". In this class, we will explain the surprising connection between quantum physics and jittering, jagged paths with fractal properties. Using Python, we will show simulations of models like random walks and the Ornstein-Uhlenbeck process, and tell you how they describe the behavior of quantum particles. And, if there's time, we'll try to give you a taste of our research which builds upon this connection to link quantum mechanics with the neural network models that are driving the AI revolution. Come to this class for a new and exciting view on the physics of the very small, and leave with an appreciation of how the mathematics of random paths encodes fundamental aspects of reality.