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We prove a new result on the spectral gap and mixing time of a Markov chain with Glauber dynamics on the space of Dyck paths (i.e., Catalan paths) and their generalization, which we call colored Dyck paths.
Antiferromagnetism
W Marshall · 1955
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Elliott Lieb and Daniel Mattis · 1962
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Aleksandr Michajlovič Polyakov · 1987
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Alistair Sinclair · 1992
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Sergey Bravyi, Libor Caha, Ramis Movassagh, Daniel Nagaj, and Peter W. Shor · 2012
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L. Dell’Anna, O. Salberger, L. Barbiero, A. Trombettoni, and V. E. Korepin · 2016
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Ramis Movassagh and Peter W Shor · 2016
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