# Tropical Dynamics of Area-Preserving Maps

## TL;DR

This paper studies a class of area-preserving, piecewise affine maps on the 2-sphere, linking tropical and Berkovich geometries to automorphisms of degenerating K3 surfaces.

## Contribution

It introduces a novel approach to analyze automorphisms of K3 surfaces using tropical and Berkovich geometric techniques.

## Key findings

- Characterization of area-preserving maps on the 2-sphere
- Connection between these maps and degenerating K3 surface automorphisms
- Application of tropical geometry methods to complex surface dynamics

## Abstract

We consider a class of area-preserving, piecewise affine maps on the 2-sphere. These maps encode degenerating families of K3 surface automorphisms and are profitably studied using techniques from tropical and Berkovich geometries.

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Source: https://tomesphere.com/paper/1903.00794