Wikipedia:Articles for deletion/Supersymmetric theory of stochastic dynamics

Supersymmetric theory of stochastic dynamics

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This page fails the notability test. Searches of the literature show that this concept has been introduced and is being studied by a single author. The corresponding articles have hardly any citation on Google Scholar, besides self-citations. Hairer (talk) 04:10, 21 June 2017 (UTC)[reply]

Note: This debate has been included in the list of Mathematics-related deletion discussions. Hairer (talk) 04:10, 21 June 2017 (UTC)[reply]

Comment – The subject material of the article as written appears to be more narrow than the title would indicate. For example, applying supersymmetric methods to solve the Fokker–Planck diffusion equation is a standard technique (covered, e.g., in Rifken's textbook, and in texts on supersymmetric quantum mechanics). Ditto the connection between supersymmetry and Onsager reciprocity; supersymmetry and fluctuation-dissipation relations; people have also made connections between supersymmetry and the Jarzynski equality, and other things I'm probably not thinking of at the moment. I would suggest returning this article to Draft space, until such time as it can be rewritten to better reflect a cross-section of what researchers actually mean when they put "supersymmetry" and "stochastic dynamics" together. XOR'easter (talk) 20:36, 21 June 2017 (UTC)[reply]

Vasilii Tiorkin (talk) 22:36, 21 June 2017 (UTC) The concept of supersymmetric stochastic quantization of stochastic differnetial equations (SDEs) has been introduced by Parisi and Sourlas almost 40 years ago, that is, almost the same time as the supersymmetry itself. This concept is a very well known construction in theoretical physics. It is much less known in mathematics community, however, to which User:Hairer is likely to belong, which explains why he believes that this concept is brand new.[reply]

Vasilii Tiorkin (talk) 22:37, 21 June 2017 (UTC) I agree with the above comment that more references on the previous works must be made. In my excuse, many wiki-editors have experience in writing scientific papers and know that the work on the detailed list of publications is the last stage of the job. That was exactly my strategy - to write the "meat" first and, then, the detailed list of publications. As of now, Gozzi's, Kurchan's, Neimi's works etc. are underrepresented at this moment. Furthermore, the link e.g. supersymmetric nonlinear sigma models is very weak. Once again, these are on to do list. If given a little time, I will cover this gap. Also, thank you for the hint on Jarzynski equality. This brings the discussion to yet another excuse why the progress on the page is slow: the theory is extremely multidisiplinary, it has connections to multiple concept many of which have pages in wikipedia. Therefore, it is going to take a while before all the relevant links (and citations) are made properly. — Preceding unsigned comment added by Vasilii Tiorkin (talk • contribs) 22:32, 21 June 2017 (UTC)[reply]