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math.GR2015★ 4 cited
A probabilistic Tits alternative and probabilistic identities
Michael Larsen, Aner Shalev
We introduce the notion of a probabilistic identity of a residually finite group. We prove that a finitely generated linear group satisfies a probabilistic identity if and only if…
math.NT2015
Diophantine stability
Barry Mazur, Karl Rubin, Michael Larsen
If is an irreducible algebraic variety over a number field , and is a field containing , we say that is diophantine-stable for if . We prove th…