Geodesic
BOREL DENSITY FOR APPROXIMATE LATTICES
Forum of Mathematics, Sigma, Tome 7 (2019)

Voir la notice de l'article provenant de la source Cambridge University Press

We extend classical density theorems of Borel and Dani–Shalom on lattices in semisimple, respectively solvable algebraic groups over local fields to approximate lattices. Our proofs are based on the observation that Zariski closures of approximate subgroups are close to algebraic subgroups. Our main tools are stationary joinings between the hull dynamical systems of discrete approximate subgroups and their Zariski closures. 
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     author = {MICHAEL BJ\"ORKLUND and TOBIAS HARTNICK and THIERRY STULEMEIJER},
     title = {BOREL {DENSITY} {FOR} {APPROXIMATE} {LATTICES}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {7},
     year = {2019},
     doi = {10.1017/fms.2019.39},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.39/}
}
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MICHAEL BJÖRKLUND; TOBIAS HARTNICK; THIERRY STULEMEIJER. BOREL DENSITY FOR APPROXIMATE LATTICES. Forum of Mathematics, Sigma, Tome 7 (2019). doi: 10.1017/fms.2019.39

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