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 ...
GIGAZINE

A video showing how miraculous the probability of 'shikanokokonokoshitantan' appearing in a Markov chain is

A Markov chain is a sequence of random variables that satisfies P(X t+1 ∣X t ,X t−1 ,…,X 1 )=P(X t+1 ∣X t ). Simply put, it is a sequence in which X t+1 depends only on X t and appears before X t−1 ...
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 ...
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 ...
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 ...