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 ...

Probabilistic methods in additive number theory exploit randomness to reveal typical structural features of sums and differences of integers. Originating in pioneering work on random sumsets, these ...

Probability is a measure of the likelihood of events happening. The greater the proportion of times an event can happen the greater (or more likely) the probability. Events can be ordered by the ...