Furstenberg: ergodic behavior and Szemerédi's theorem

What changed

Built multiple-recurrence ergodic framework and gave a new proof of Szemerédi's theorem.

Scientific scope

The record is Furstenberg's sole-author 1977 Journal d’Analyse Mathématique paper. It is a distinct ergodic proof and framework, not the original combinatorial proof or later quantitative and prime-set extensions.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Furstenberg's sole-author 1977 Journal d’Analyse Mathématique paper. It is a distinct ergodic proof and framework, not the original combinatorial proof or later quantitative and prime-set extensions.

Contributors

• Harry Furstenberg · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• University-hosted full text of Furstenberg ergodic proof
• Springer DOI for Furstenberg paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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