A new tropical volume, called the tropical barycentric volume, is defined from a tropical Ehrhart polynomial and is shown to satisfy the standard volume axioms and to be upper bounded by the dequantized tropical volume.
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Tropical Ehrhart Theory and Tropical Volume
A new tropical volume, called the tropical barycentric volume, is defined from a tropical Ehrhart polynomial and is shown to satisfy the standard volume axioms and to be upper bounded by the dequantized tropical volume.