Albert Phung has 7+ years of experience as a process improvement consultant for several businesses; currently with Alberta Health Services. Suzanne is a content marketer, writer, and fact-checker. She ...
Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...
Random walks in random environments constitute a pivotal area of research at the interface of probability theory, statistical physics and mathematical modelling. This field investigates stochastic ...
We study the asymptotic behavior of a multidimensional random walk in a general cone. We find the tail asymptotics for the exit time and prove integral and local limit theorems for a random walk ...
An investment theory which claims the financial markets move up and down at random. Investors subscribing to the theory believe that historical price movements and trends provide no indication of ...
Voters' preferences depend on available information. Following Case-Based Decision Theory, we assume that this information is processed additively. We prove that the collective preferences deduced ...
Why is it that when you walk randomly, the more you walk, the farther you get from your starting point? The Quanta Newsletter ...
Researchers used algebra and geometry together to solve an old random walk problem. Random walk ideas have informed everything from biology to video games. This team identified a key geometry idea ...