Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...

Van Ha Vu, newly named as the Percey F. Smith Professor of Mathematics, studies combinatorics, probability, additive number theory, and theoretical computer science. Vu received his Ph.D. in ...

This is a preview. Log in through your library . Abstract We consider a Markov additive process (MAP) with phase-type jumps, starting at 0. Given a positive level u, we determine the joint ...

This paper provides evidence on how Keynes devised a mathematical framework for his system of probability, which he called «approximation», in A Treatise on Probability, 1921. Keynes used standard ...