In this paper we consider the Markov chain formed by the operation of the move-to-front scheme. We show that the eigenvalues of the transition probability matrix are of the form pi, pi + pj, ⋯, Σ1 N ...

HOLO constructs quantum states based on Matrix Product States (MPS) and leverages mirror symmetry to optimize the loading of probability distributions.

A probability and impact matrix simplifies the process of risk management by providing a structured, visual approach to identifying and prioritizing risks. Whether you’re a new project manager or a ...

We draw attention to some important nonlinear equations commonly arising in applied probability, review some known techniques to compute their minimal nonnegative solutions, propose improved iterative ...