|
|
Научно-исследовательский семинар кафедры дискретной математики ФИВТ МФТИ
19 января 2015 г. 16:00–18:00, г. Москва, ул. Льва Толстого, д. 16, Яндекс, БЦ «Мамонтов», ауд. Гарвард
|
|
|
|
|
|
Metric Diophantine approximation — from continued fractions to fractals
Simon Kristensen University of Aarhus, Department of Mathematical Sciences
|
|
Аннотация:
The metric theory of Diophantine approximation dates back to Èmile Borel (1909) and Khintchine (1924). Starting from Khintchine, we will give a survey of metric Diophantine approximation, with tthe occurrence of fractal structures in number theory playing a major part. Particular emphasis will be put on recent efforts to tackle major outstanding problems via two different avenues: One uses classical techniques from fractal geometry and number theory, while the other uses methods from homogeneous dynamics.
|
|