Journal of Applied Probability, Vol. 41, Stochastic Methods and Their Applications (2004), pp. 347-360 (14 pages) This paper investigates the probabilistic behaviour of the eigenvalue of the empirical ...

We consider a symmetric random walk on a connected graph, where each edge is labeled with the probability of transition between the two adjacent vertices. The associated Markov chain has a uniform ...

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 ...

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 ...

Quantum Markov chains (QMCs) represent a natural quantum extension of classical Markov processes, encapsulating memoryless dynamics within quantum systems. They offer a powerful framework to model non ...