04/10/2023, 07:42 PM
Hi, I saw that Daniel has deleted his last thread about the Quanta article giving a popular account on Ecalle's exoteric work and how it coukld be linked to renormalization techniques and the transition from perturbative to non-perturbative quantum field theories.
I'd like to assure Daniel that from my point of view that post deserves to stay in the main section. If Daniel agrees but he is not able to restore it, I could restore it myself.
I find that article really interesting. It basically gives an easy intro into Ecalle's theory of resurgence. I'm sure that everyone here is lightyears ahead of me on everything concerning summation and convergence, yet I still think that that thread, also with Caleb's answer linking to an intro paper made recently by Ecalle himself for this occasion.
Based on my poor comprehension of the keywords I don't know how that can't be interesting to forum users. Resurgence theory seems basically a really coherent general theory that accounts for the integrated use of Borel resummations and Laplace-like transforms in the context of transseries in order to tame divergence. Since recently Borel summation and divergence has had so many space on the forum I think this deserves some discussion.
V.
I'd like to assure Daniel that from my point of view that post deserves to stay in the main section. If Daniel agrees but he is not able to restore it, I could restore it myself.
I find that article really interesting. It basically gives an easy intro into Ecalle's theory of resurgence. I'm sure that everyone here is lightyears ahead of me on everything concerning summation and convergence, yet I still think that that thread, also with Caleb's answer linking to an intro paper made recently by Ecalle himself for this occasion.
Based on my poor comprehension of the keywords I don't know how that can't be interesting to forum users. Resurgence theory seems basically a really coherent general theory that accounts for the integrated use of Borel resummations and Laplace-like transforms in the context of transseries in order to tame divergence. Since recently Borel summation and divergence has had so many space on the forum I think this deserves some discussion.
V.
MSE MphLee
Mother Law \((\sigma+1)0=\sigma (\sigma+1)\)
S Law \(\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)\)
, now I seem like an asshole that he deleted the thread. I just tend to think these things have a marginal effect on what we're studying here; but yes, you're right it's still super interesting! I just hate science journalism, lmfaoo.