2023-07-24 |
14:15-15:15 |
2023-07-24,14:15-15:15 | LR8 (A3-4 3F) |
07-24 Afternoon Math Lecture Room 8 (A3-4 3F)
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Speaker |
Encoding orbits via best approximation It is well-known that geodesics on the modular surface are encoded by the theory of continued fractions. By a classical theorem of Lagrange, convergents of the continued fraction are precisely best approximants of the second kind. In this talk, we present generalizations of the theory of continued fractions from the perspective of best approximation that preserves the interplay between number theory and dynamics.
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