All quadrirational Yang-Baxter maps in a key subclass on positive reals have the independence preserving property and generate most known IP bijections via specialization or limits.
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Derives stationary measures for zero-temperature random polymer models via reductions to two bijections with independence preservation, noting degeneracy explains atoms and yields links between models including new ones for the river delta model.
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Yang-Baxter maps and independence preserving property
All quadrirational Yang-Baxter maps in a key subclass on positive reals have the independence preserving property and generate most known IP bijections via specialization or limits.