Tropical geometric interpretation of ultradiscrete singularity confinement

Details Tropical geometric interpretation of ultradiscrete singularity confinement Tropical geometric interpretation of ultradiscrete singularity confinement

2008-02-14

arxiv.org/abs/0802.1959v1

Physics

Mathematical Physics

9 Pages, no figures

Scientific paper

We present a new interpretation of the ultradiscretization procedure in terms of a non-archimedean valuation on the field of Puiseux series. We shall demonstrate how the new interpretation of the ultradiscretization gives a correspondence between singularity confinement for discrete mappings and ultradiscrete singularity confinement for ultradiscrete mappings using results from tropical geometry.

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