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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
nlin.SI 2verdicts
UNVERDICTED 2representative citing papers
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
-
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.
-
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.