Lectures related to Human Travel Scaling Laws

Explores Levy Flights and Brownian Motion, focusing on probability distributions and divergences in lag time.

Covers Levy flights, Central Limit Theorem, and Mesoscopic Master Equation with transition rates in an assurance system.

Roulette with Curves and Surfaces

Explores building a roulette, probability distributions on curves, and properties of random surface models, including the groundbreaking Schramm-Loewner evolution processes.

Martingales and Brownian Motion Construction

Explores the construction of Brownian motion with continuous trajectories and the dimension of its zero set.

Brownian Motion: Theory and Applications

Covers the theory of Brownian motion, diffusion, and random walks, with a focus on Einstein's theory for one-dimensional motion.

Introduction to Data Science

Introduces data science topics, evaluation methods, and course organization for the semester.

Maximum Entropy Principle: Stochastic Differential Equations

Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.