The Maslov dequantization, idempotent and tropical mathematics: A brief introduction
General Mathematics
2007-05-23 v1
Abstract
This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant tends to zero taking imaginary values.
Cite
@article{arxiv.math/0507014,
title = {The Maslov dequantization, idempotent and tropical mathematics: A brief introduction},
author = {G. L. Litvinov},
journal= {arXiv preprint arXiv:math/0507014},
year = {2007}
}
Comments
English and Russian versions. This article, a result of a very considerable expansion of math.GM/0501038, is to appear in Journal of Mathematical Sciences (Notes of Scientific Seminars of the V.A. Steklov Mathematical Institute), see <http://tinyurl.com/a3ahc>. Dedicated to Anatoly Vershik with admiration and gratitude. Russian version to be published in "Zapiski Nauchnykh Seminarov POMI"