Tag Archives: Mathematics
A Historic Day in Mathematics
This morning, I woke up to news of a breakthrough on Erdős’ unit distance problem. Disproving Erdős’ Unit Distance Conjecture would be remarkable in its own right. What makes this moment extraordinary, however, is that the breakthrough was achieved by an OpenAI model. You can watch this fairly recent video if you are interested more […]
A drunk man will find his way home, but a drunk bird may get lost forever
This elegant quote, which captures the essence of the mathematical fact that a 2-dimensional random walk is recurrent while in higher dimensions it is not, is attributed to Shizuo Kakutani. However, the original proof is due to George Pólya [1]. A -dimensional lattice is defined as a graph whose vertices are all points in with […]
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