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The book intends to give a modern presentation of the classical
Markov and Lagrange spectrum, which are fundamental objects from
the theory of Diophantine approximations and of their several
generalizations related to Dynamical Systems and Differential
Geometry. Besides presenting many classical results, the book
includes several topics of recent research on the subject,
connecting several fields of Mathematics - Number Theory, Dynamical
Systems and Fractal Geometry.It includes topics as:
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