Multidimensional Continued Fractions and Euclidean Dynamics

- This workshop is cancelled -

23 - 27 March 2020

Venue: Lorentz Center@Snellius

If you are registered for this workshop, you have received login details by email.

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.

Read more...

    March 23

    Ergodic properties

    10:0010:15 Welcome by the Lorentz Center
    10:1510:30 Welcome by Organizers
    10:3011:30 Lecture 1
    11:3012:30 Lecture 2
    12:3014:00 Lunch @Snellius restaurant
    14:0015:00 Lecture 3
    15:0015:30 Coffee and tea break
    15:3017:00 Brainstorm session: Numerical experiments: conjectures and counterexamples
    17:0017:30 Small group discussions
    17:3019:30 Wine and cheese party

    March 24

    Homogeneous dynamics and lattice reduction algorithms

    09:3010:30 

    Lecture 4

    10:3011:00 Coffee and tea break
    11:0012:00 Lecture 5
    12:0014:00 Lunch @Snellius restaurant
    14:0015:00 Lecture 6
    15:0015:30 Coffee and tea break
    15:3016:30 Lecture 7
    16:3017:30 Open problem session

    March 25

    Teichmüller dynamics

    09:3010:30 

    Lecture 8

    10:3011:00 Coffee and tea break
    11:0012:00 Lecture 9
    12:0014:00 Lunch @Snellius restaurant
    14:0015:00 Lecture 10
    15:0015:30 Coffee and tea break
    15:3016:30 Lecture 11
    16:3017:30 Small group discussions
    17:3021:00 Workshop dinner

    March 26

    Lyapunov exponents and convergence

    09:3010:30 

    Lecture 12

    10:3011:00 Coffee and tea break
    11:0012:00 Lecture 13
    12:0014:00 Lunch @Snellius restaurant
    14:0015:00 Lecture 14
    15:0015:30 Coffee and tea break
    15:3016:30 Lecture 15
    16:3017:30 Brainstorm session: Convergence of MCF: different approaches and partial results

    March 27

    Applications

    10:0011:00 

    Lecture 16

    11:0011:30 Coffee and tea break
    11:3012:30 General Reporting
    12:3014:00 Lunch @Snellius restaurant
    Please log in to view the participants information...

    Konstantin Khanin, University of Toronto  

    Valérie Berthé, CNRS  

    Evgeny Verbitskiy, Leiden University  

    Alexandra Skripchenko, National Research University Higher School of Economics  


Wendy van der Linden

+31 71 527 5542

vanderlinden@lorentzcenter.nl

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