Numbers as functions
arXiv:1312.5160 · doi:10.1134/S2070046613040055
Abstract
In this survey I discuss A. Buium's theory of ``differential equations in the p-adic direction'' ([Bu05]) and its interrelations with ``geometry over fields with one element'', on the background of various approaches to p-adic models in theoretical physics.
Based on talks at the International Workshop on p-adic methods for modelling of complex systems, Bielefeld, April 15-19, 2013, and at Journées Arithmétiques, Grenoble, June 2-5, 2013