The scientific world is delighted with the recent discovery in the field of mathematics. Furstestenberg hypothesis, which remained unresolved for decades, was finally proved.
Imagine an endless sheet of paper covered with multidirectional lines. Dust falls on this sheet of paper, covering the lines with dots. In 1999, Thomas Wolf, a mathematician from the California Technological Institute, proposed hypothesis about the minimum dust covering paper. This hypothesis became known as the Furstenberg hypothesis, which, according to Wolf, was the first to propose this problem.
For two decades, no one managed to prove this hypothesis. However, in August Kevin Ren, a second-year graduate student at Princeton University, and Hong Wang, a professor at New York University, published this hypothesis on the site preliminary publications arxiv.org. This was a big surprise even for mathematicians involved in solving the problem.
To understand the problem of Furstensher, you need to know about a number called