A toral automorphism is a map where . is hyperbolic if has no eigenvalue on the unit circle. has unstable index 1 if has a single eigenvalue with modulus greater than one and if this eigenvalue has no algebraic multiplicity. Observe that must be a Pisot number: it is an algebraic integer whose algebraic conjugates [...]
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Pisot numbers and hyperbolic toral automorphisms
Posted in nice facts on March 25, 2009 | Leave a Comment »
