A conjecture in geometric probability about the asymptotic normality of the r-content of the r-simplex, whose r + 1 vertices are independently uniformly distributed random points of which p are in the ...

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

We introduce the Aleksandrov--Fenchel inequality, apply it to a tail bound for Gaussian processes, and speculate on a further connection. Journal Information The Institute of Mathematical Statistics ...

THE concept of probability has always comprised two ideas: that of frequency in an ensemble and that of reasonable expectation. Suppose it is said that in tossing an unbiased coin the probabilities of ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

Grigori Perelman electrified the mathematical world 3 years ago with his claim to have solved one of the most famous problems in mathematics (SN: 6/14/03, p. 378: If It Looks Like a Sphere…). The ...