Throughout, we will be applying some of the theoretic results to the analysis of queues. Students are expected to have some background in probability (such as IEMS 202) and stochastic processes; no ...

A second course in stochastic processes and applications to insurance. Markov chains (discrete and continuous time), processes with jumps; Brownian motion and diffusions; Martingales; stochastic ...

Molecular Biology and Evolution, 39, msab313 (2021). Naoki Masuda, Luis E. C. Rocha. A Gillespie algorithm for non-Markovian stochastic processes. SIAM Review, 60, 95-115 (2018). Naoki Masuda, Mason A ...

An international collaboration has published groundbreaking research, shedding light on the most significant increase in complexity in the history of life's evolution on Earth: the origin of the ...

Statistics, and real analysis at the undergraduate engineering or mathematics level; graduate level probability and stochastic processes (IEMS 460-1); computer programming in Python; graduate standing ...

The neutral theory holds that most variation at the molecular level does not affect fitness and, therefore, the evolutionary fate of genetic variation is best explained by stochastic processes.

This important work presents a stochastic branching process model of tumour-immune coevolution, incorporating stochastic antigenic mutation accumulation and escape within the cancer cell population.