I recently stumbled across a nice word game called “Doublets”, invented by Lewis Carroll. It goes like this. Player 1 writes two words with the same number of letters, say “cone” and “hoof”. Player 2 must then find a chain of words, each of them differing by one letter, which starts at the first word … More Doublets: From amok to updo in 14 easy steps
I’m happy to say that I recently uploaded a paper to the arXiv under the title “A conformal Skorokhod embedding” (https://arxiv.org/abs/1905.00852). In this post, I’d like to explain what the Skorokhod embedding problem is, how I came across it, some previously known solutions, and my own tiny contribution. But really, all of this is just … More New paper on arXiv: A conformal Skorokhod embedding
A sole soul in a sole, travelling. Where did it come from? Where will it go?There are things that humankind is not meant to know.
Part 1: Archery Lately I’ve been interested in archery. The target of target archery is to shoot a circle square in the middle. The target is usually placed quite far away, some 70 meters in the case of the Olympic games, so it’s not always very easy. Here is one of my volleys from 18 … More Low-dimensional archers have it easy
Here is a silly little question that my friend Ori and I ran into. Let be a decreasing sequence of positive real numbers which tends to 0. Perhaps in a more decent universe, the sum would always equal some finite number, but already in kindergarten we learn that that’s not true: For example, the partial … More Converging Bernoulli Series
Still probably the best 70$ I ever spent.
Last time I introduced a neat little question: Is it true that every infinite path in contains arbitrarily long arithmetic progressions? For example, in the following path, the squares colored in red have coordinates , which form an arithmetic progression of length 3, where every two consecutive points differ by . As it turns out, … More Arithmetic progressions in space!