Free Stein kernels and an improvement of the free logarithmic Sobolev inequality

We introduce a free version of the Stein kernel, relative to a semicircular law. We use it to obtain a free counterpart of the HSI inequality of Ledoux, Peccatti and Nourdin, which is an improvement of the free logarithmic Sobolev inequality of Biane and Speicher, as well as a rate of convergence in the (multivariate) entropic free Central Limit Theorem. We also compute the free Stein kernels for several relevant families of self-adjoint operators

The History of the Wood-Pulp Beer Coaster

The wood-pulp beer coaster (or mat) was patented by Robert Sputh of Dresden in 1892. It became a popular advertising medium in the early twentieth century and after World War II a common collectible

Did Ancient Greeks Drink Beer?

In some recent scholarship it has been suggested that ancient Greeks commonly drank beer. However, a careful examination of ancient sources, both for negative evidence (the lack of references to beer-making and beer-drinking among Greeks) as well as for positive evidence (the mentions of beer as a foreign product), supports the commonly held belief that Greeks in the archaic and classical periods did not regularly drink beer. There is also no evidence that kykeon was a type of beer

Zutourgeion: A Scholarly Ghost Word

The word zutourgeion , still accepted in the Liddell, Scott, and Jones ancient Greek lexicon in the sense of brewery , is a modern scholarly invention which can be traced back to the publication of the Tebtunis and Flinder