The Algbraic von Neumann Kernel and Linear Algebraic Groups.
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Helen Strassberg, Sheldon Rothman (1981)
Mathematische Zeitschrift
Nanhua Xi (1994)
Annales scientifiques de l'École Normale Supérieure
Renata Scognamillo (1993)
Mathematische Zeitschrift
R. Larsen (1970)
Aequationes mathematicae
J. Klimek, W. Kraśkiewicz, J. Weyman (1998)
Colloquium Mathematicae
Grecu, Eftimie (1996)
Balkan Journal of Geometry and its Applications (BJGA)
Shrawan Kumar (1996)
Inventiones mathematicae
Isidro Nieto (1992)
Manuscripta mathematica
Andy R. Magid (2002)
Banach Center Publications
Markus Stroppel (1997)
Monatshefte für Mathematik
Dragomir Z. Djokovic (1978)
Mathematische Zeitschrift
Lam, Thomas, Williams, Lauren (2008)
The New York Journal of Mathematics [electronic only]
Michel Waldschmidt (1970/1971)
Séminaire de théorie des nombres de Bordeaux
Edward D. Bender, John G. Christiano (1964)
Bollettino dell'Unione Matematica Italiana
Richard Aoun (2013)
Annales de l’institut Fourier
We study the transience of algebraic varieties in linear groups. In particular, we show that a “non elementary” random walk in escapes exponentially fast from every proper algebraic subvariety. We also treat the case where the random walk takes place in the real points of a semisimple split algebraic group and show such a result for a wide family of random walks.As an application, we prove that generic subgroups (in some sense) of linear groups are Zariski dense.
Siegfried Moran (1986)
Journal für die reine und angewandte Mathematik
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