Multidimensional Continued Fractions and Euclidean Dynamics 2020
- Rescheduled to 17-21 May 2021 -
23 - 27 March 2020
Venue: Lorentz Center@Snellius
If you are invited or already registered for this workshop, you have received login details by email.This workshop has been rescheduled to 17 - 21 May 2021
Description
This workshop is devoted to ergodic properties of Markovian multidimensional continued fraction algorithms by bringing together leading specialists working in various related areas of dynamical systems such as Teichmüller dynamics, hyperbolic dynamics, homogeneous dynamics, lattice reduction algorithms, symbolic dynamics, Diophantine approximation, etc.
The main targeted questions concerning continued fractions are invariant measures, convergence properties and Lyapunov exponents, and impact of the dimension.
March 23
Ergodic properties
| 10:00 | 10:15 | Welcome by the Lorentz Center | |
| 10:15 | 10:30 | Welcome by Organizers | |
| 10:30 | 11:30 | Lecture 1 | |
| 11:30 | 12:30 | Lecture 2 | |
| 12:30 | 14:00 | Lunch @Snellius restaurant | |
| 14:00 | 15:00 | Lecture 3 | |
| 15:00 | 15:30 | Coffee and tea break | |
| 15:30 | 17:00 | Brainstorm session: Numerical experiments: conjectures and counterexamples | |
| 17:00 | 17:30 | Small group discussions | |
| 17:30 | 19:30 | Wine and cheese party |
March 24
Homogeneous dynamics and lattice reduction algorithms
| 09:30 | 10:30 | Lecture 4 |
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| 10:30 | 11:00 | Coffee and tea break | |
| 11:00 | 12:00 | Lecture 5 | |
| 12:00 | 14:00 | Lunch @Snellius restaurant | |
| 14:00 | 15:00 | Lecture 6 | |
| 15:00 | 15:30 | Coffee and tea break | |
| 15:30 | 16:30 | Lecture 7 | |
| 16:30 | 17:30 | Open problem session |
March 25
Teichmüller dynamics
| 09:30 | 10:30 | Lecture 8 |
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| 10:30 | 11:00 | Coffee and tea break | |
| 11:00 | 12:00 | Lecture 9 | |
| 12:00 | 14:00 | Lunch @Snellius restaurant | |
| 14:00 | 15:00 | Lecture 10 | |
| 15:00 | 15:30 | Coffee and tea break | |
| 15:30 | 16:30 | Lecture 11 | |
| 16:30 | 17:30 | Small group discussions | |
| 17:30 | 21:00 | Workshop dinner |
March 26
Lyapunov exponents and convergence
| 09:30 | 10:30 | Lecture 12 |
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| 10:30 | 11:00 | Coffee and tea break | |
| 11:00 | 12:00 | Lecture 13 | |
| 12:00 | 14:00 | Lunch @Snellius restaurant | |
| 14:00 | 15:00 | Lecture 14 | |
| 15:00 | 15:30 | Coffee and tea break | |
| 15:30 | 16:30 | Lecture 15 | |
| 16:30 | 17:30 | Brainstorm session: Convergence of MCF: different approaches and partial results |
March 27
Applications
| 10:00 | 11:00 | Lecture 16 |
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| 11:00 | 11:30 | Coffee and tea break | |
| 11:30 | 12:30 | General Reporting | |
| 12:30 | 14:00 | Lunch @Snellius restaurant |
