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Exact Comparison of Quadratic Irrationals
This paper discusses the relationship between quadratic irrational numbers and periodic continued fractions. By using some basic properties of this relationship, we... -
Logarithm laws for equilibrium states in negative curvature
Let $M$ be a pinched negatively curved Riemannian manifold, whose unit tangent bundle is endowed with a Gibbs measure $m_F$ associated to a potential $F$. We compute...
