Abstract
This text grew out of my lecture notes for a 4-h minicourse delivered on October 17 and 19, 2016 during the research school “Applications of Ergodic Theory in Number Theory”—an activity related to the Jean-Molet Chair project of Mariusz Lemanczyk and Sebastien Ferenczi—realized at CIRM, Marseille, France. The subject of this text is the same as my minicourse, namely, the structure of the so-called Lagrange and Markov spectra (with a special emphasis on a recent theorem of C.G. Moreira).
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