3 ms·
I did an undergraduate research project many years ago on Conway's surreal numbers (some people might be aware of Knuth's excellent book on the subject). This
by photonthug 4y ago
I did an undergraduate research project many years ago on Conway's surreal numbers (some people might be aware of Knuth's excellent book on the subject). This alien calculus of resurgence reminded me of that, so I went looking for a connection, and found one: https://arxiv.org/pdf/2208.14331.pdf https://arxiv.org/pdf/2208.14331.pdf
I was only barely a math nerd and very far from a physics nerd, but even as a pretty naive bystander the surreal numbers seemed to offer some hope for common problem of wrangling divergent sums. Anyone out there that can compare/contrast the approaches and challenges of integration/differentiation on the surreals vs this topic of resurgence in perturbation theory? Are these things even that fundamentally different or is it more like a difference in point-of-view/branding for the same techniques?