Mathematician’s dream place (part 3)

Nelly Litvak is a participant of the Probability and Statistics of Discrete Structures (PSDS) program at the Simons-Laufer Mathematical Science Institute (SLMath), Spring 2025. This blog is part 3 in a trilogy of blogs. ‘So, what have you been doing 4 months in Berkeley?’ Accidentally, I bumped into an old friend on the last evening […]
Passing a negative coin

A brand new solution to an old mathematical problem. This time we found it by throwing in some negative cash, the debt.
Google PageRank: how search engines `bring order to the Web'

A crucial innovation of Google was a mathematically quite simple but powerful algorithm called PageRank.
"Look it up on the Internet!" - How Web Search Works

In this article we will have a look at how search engines work. What happens when you type the query in the famous, almost magical, Google's white page? And what does it have to do with networks?