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 ...

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 ...

The last several years have witnessed a significant intensification of the connections between probability (e.g., random walks and percolation) and ergodic theory, especially in treating questions ...