Uniform exponential growth for some SL(2,R) matrix products
Abstract
Given a hyperbolic matrix $H\in SL(2,\R)$, we prove that for almost every $R\in SL(2,\R)$, any product of length $n$ of $H$ and $R$ grows exponentially fast with $n$ provided the matrix $R$ occurs less than $o(\frac{n}{\log n\log\log n})$ times.
Domains
General Mathematics [math.GM]
Origin : Files produced by the author(s)
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