C HESS IS the sort of deep and rewarding game that you can spend an enjoyable lifetime failing to master. But even ardent fans might concede that, as a spectacle, watching two players think for long ...

Magnus Carlsen, a 34-year-old Norwegian, is among the greatest chess players of all time.

Now, Barthelmey has taken things one step further by publishing a new paper in the journal Physical Review E that treats ...