Introduces generalized Frobenius–Perron operators and explores optimal transport problems, suggesting new theoretical insights.
We introduce generalized Frobenius–Perron operators associated with measurable transformations between two measurable spaces and study their basic properties. The new concept extends the well-known Frobenius–Perron operators from ergodic theory to a more general setting. We then discuss the optimal transport problem in terms of generalized Frobenius–Perron operators, providing a new perspective for their theoretical and numerical studies.
No takes yet. Share an insight, caveat, or question.
Zhu et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: