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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3 Pith papers cite this work. Polarity classification is still indexing.
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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.
Defines bi-infinite discrete integrable systems and proves unique solvability of the initial-value problem via path encodings that generalize Pitman's transformation.
citing papers explorer
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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.
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On the stationary solutions of random polymer models and their zero-temperature limits
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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Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings
Defines bi-infinite discrete integrable systems and proves unique solvability of the initial-value problem via path encodings that generalize Pitman's transformation.