Experimental Mathematics and Mathematical Physics
Mathematical Physics
2018-05-03 v1 High Energy Physics - Phenomenology
Classical Analysis and ODEs
math.MP
Number Theory
Abstract
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.
Cite
@article{arxiv.1005.0414,
title = {Experimental Mathematics and Mathematical Physics},
author = {David H. Bailey and Jonathan M. Borwein and David Broadhurst and Wadim Zudilin},
journal= {arXiv preprint arXiv:1005.0414},
year = {2018}
}
Comments
18 pages, 2 figures