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The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to onecorrespondences between the set of highest paths and the set of riggedconfigurations. In this paper, we give a crystal theoretic reformulation of theKKR map from the paths to rigged configurations, using the combinatorial R andenergy functions. This formalism provides tool for analysis of the periodicbox-ball systems.

A crystal theoretic method for finding rigged configurations from paths