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 ...

Abstract: This work provides new bounds on the difference between the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass ...

Abstract: Mixing coefficients between two random variables act as a measure of their dependence. For stochastic processes mixing is another way of saying that the process is asymptotically independent ...

Elementary cellular automaton 77 and its reversible Fredkin version. In a nutshell, the main idea behind this course is that the development of the digital computer, together with the theory of ...