Geodesic
Probabilistic Waring problems for finite simple groups
Michael Larsen1 ; Aner Shalev2 ; Pham Huu Tiep3
1 Indiana University, Bloomington, IN USA
2 Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel
3 Rutgers University, Piscataway, NJ USA
Annals of mathematics, Tome 190 (2019) no. 2, pp. 561-608

Voir la notice de l'article provenant de la source Annals of Mathematics website

The probabilistic Waring problem for finite simple groups asks whether every word of the form $w_1w_2$, where $w_1$ and $w_2$ are non-trivial words in disjoint sets of variables, induces almost uniform distributions on finite simple groups with respect to the $L^1$ norm. Our first main result provides a positive solution to this problem.

DOI : 10.4007/annals.2019.190.2.3

Michael Larsen 1 ; Aner Shalev 2 ; Pham Huu Tiep 3

1 Indiana University, Bloomington, IN USA
2 Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel
3 Rutgers University, Piscataway, NJ USA 
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Michael Larsen; Aner Shalev; Pham Huu Tiep. Probabilistic Waring problems for finite simple groups. Annals of mathematics, Tome 190 (2019) no. 2, pp. 561-608. doi: 10.4007/annals.2019.190.2.3

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