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most citedThe Ghost-Box-Ball System: A Unified Perspective on Soliton Cellular Automata, the RSK Algorithm and Phase Shifts

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math.SP2023

Total positivity and spectral theory for Toeplitz Hessenberg matrix ensembles

Nicholas Ercolani, John Peca-Medlin, Jonathan Ramalheira-Tsu

In this paper we define and lay the groundwork for studying a novel matrix ensemble: totally positive Hessenberg Toeplitz operators, denoted TPHT. This is the intersection of two e…