Abstract We introduce a family of piecewise isometries. This family is similar to the ones studied by Hooper and Schwartz. We prove that a renormalization scheme exists inside this family and compute ...

The Association for Computing Machinery (ACM) on Wednesday announced that it has awarded this year's A.M. Turing prize, often referred to as the Nobel Prize of computing, to computer scientist and ...

Turing machines are widely believed to be universal, in the sense that any computation done by any system can also be done by a Turing machine. In a new article, researchers present their work ...