Fractals and Numeration » Aan13

Approximation and numeration

December 18-20, 2013

Université Paris Diderot - Paris 7
Bât. Sophie Germain, Amphithéâtre Turing


This workshop is dedicated to approximation properties of sequences defined by numeration systems. It is supported by the ANR/FWF project FAN and the ANR project DYNA3S.

Programme (Abstracts):

Wednesday, December 18
  9:30 - 10:00 Welcome coffee
10:00 - 10:50Fritz SchweigerOpen problems for multidimensional continued fractions
11:00 - 11:50Arnaldo NogueiraErgodicity of multidimensional continued fraction algorithms
12:00 - 14:00 Lunch at Restaurant CROUS Buffon, 17 rue Hélène Brion
14:00 - 14:50Robert TichyDiscrepancy, dynamical systems and limit theorems (Slides)
14:50 - 15:20 Coffee break
15:20 - 16:10Viviane BaladiNatural boundary for the susceptibility function of generic piecewise expanding unimodal maps
16:20 - 17:00Ali MessaoudiAdding machine and fibered Julia sets
20:00 Dinner at L'Auberge Etchegorry, 41 rue Croulebarbe, 75013 Paris
 
Thursday, December 19
  9:30 - 10:20Thomas GarrityA generalized family of multidimensional continued fractions: TRIP maps
10:20 - 10:50 Coffee break
10:50 - 11:40Henk BruinOn generalisations of Selmer's continued fraction algorithm
11:50 - 12:30Sasha SkripchenkoOn the Hausdorff dimension of the Rauzy gasket (Slides)
12:30 - 14:00 Lunch at Restaurant CROUS Buffon, 17 rue Hélène Brion
14:00 - 14:50Michael DrmotaSubsequences and independence of generalized Halton sequences (Slides)
14:50 - 15:20 Coffee break
15:20 - 16:10Yann BugeaudAlgebraic approximation to automatic continued fractions
16:20 - 17:00Lingmin LiaoDirichlet uniformly well-approximated numbers (Slides)
 
Friday, December 20
  9:30 - 10:20Giulio TiozzoCombinatorics and entropy of continued fractions with SL(2, Z) branches
10:20 - 10:50 Coffee break
10:50 - 11:40Frits BeukersGeodesic continued fractions and LLL (Slides)
12:00 - 13:30 Lunch at Restaurant CROUS Buffon, 17 rue Hélène Brion
13:30 - 14:20Vincent DelecroixLyapunov exponents and quality of diophantine approximation in dimension 2
14:30 - 15:20Brigitte ValléeMetrical versions of the Two-Distance Theorem (Slides)

Organisers:

List of participants