Markov processes form a fundamental class of stochastic models in which the evolution of a system is delineated by the memoryless property. In such processes, the future state depends solely on the ...

Bunches of individual customers approach a single servicing facility according to a stationary compound Poisson process. The resulting waiting line process is studied in continuous time by the method ...

The equivalence between absorbing and reflecting barrier problems for random walks is shown to hold for stochastically monotone Markov processes. For Markov chains in ...

There’s an odd little trick to how AI programs, including large language models such as ChatGPT, learn and make decisions. The oddest thing about it is that it can be traced to a Russian born in 1856.