What question did this study set out to answer?

The objective is to extend Frobenius–Perron operators and analyze their properties in relation to optimal transport problems.

January 24, 2026

Generalized Frobenius–Perron Operators and Optimal Transport Problems

Key Points

The objective is to extend Frobenius–Perron operators and analyze their properties in relation to optimal transport problems.
Introduced generalized Frobenius–Perron operators linked to measurable transformations.
Studied basic properties of these operators.
Discussed their relationship to the optimal transport problem.
Presented a more general framework for Frobenius–Perron operators.
Provided a new perspective for analyzing optimal transport problems theoretically and numerically.

Abstract

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.

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Discussion

Authors

Huijian Zhu

Jiu Ding

Congming Jin

Journals

International Journal of Bifurcation and Chaos

Actions

Institutions

Nanfang Hospital

Zhejiang Sci-Tech University

References and Citations

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Building similarity graph...

Analyzing shared references across papers

Generalized Frobenius–Perron Operators and Optimal Transport Problems

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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