What is recorded here?
Established an ergodic-theoretic multiple-recurrence framework and used it to give a new proof of Szemerédi's theorem on arithmetic progressions in positive-density sets.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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People and systems
Harry Furstenberg
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Israel
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English catalogue narrative
Furstenberg: ergodic behavior and Szemerédi's theorem
Established an ergodic-theoretic multiple-recurrence framework and used it to give a new proof of Szemerédi's theorem on arithmetic progressions in positive-density sets.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Harry Furstenberg
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.