Markov Chains : The Strange Math That Predicts Almost Anything

Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...
PBS

Can a Chess Piece Explain Markov Chains?

In this episode probability mathematics and chess collide. In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight ...
JSTOR Daily

The Fundamental Matrix of Singularly Perturbed Markov Chains

We consider a singularly perturbed (finite state) Markov chain and provide a complete characterization of the fundamental matrix. In particular, we obtain a formula for the regular part simpler than a ...
JSTOR Daily

Matrix Product-Form Solutions for Markov Chains with a Tree Structure

This is a preview. Log in through your library . Abstract We have two aims in this paper. First, we generalize the well-known theory of matrix-geometric methods of Neuts to more complicated Markov ...
Forbes

Revealing Secrets Of Large Language Models And Generative AI Via Markov Chain Mathematics

Forbes contributors publish independent expert analyses and insights. Dr. Lance B. Eliot is a world-renowned AI scientist and consultant. In today’s column, I closely examine an innovative way of ...