Aspects of Mathematics on Fractals
Program
14(Tue.)
13:00 - 14:00 Yang Wang(Georgia Institute of Technology)
Bernoulli convolution associated with some non-Pisot numbers
14:10 - 14:40 Rao Hui(Tsuda College)
Decompositions of Integers
14:50 - 15: 50 Narn-Rueih Shieh(National Taiwan University)
Multifractals for Galton-Watson Tree
16:00 - 17:00 Michael Rökner(University of Bielefeld)
Invariance implies Gibbs: some new results
15(Wed.)
10: 00 - 11:00 M. Shinoda(Nara Women University)
Oriented percolation on Sierpinski carpet lattices
11:10 - 12:10 Cristophe Sabot(Université de Paris VI)
Spectral properties of pcf self-similar sets: basic properties
13:30 - 13:50 M. Hirayama(Kyusyu University)
An upper estimate of Hausdorff dimension of a stable set
13:50 - 14:40 A. Imai(Kyoto University), H. Sato(Kyusyu University)
Lipschitz equivalence of Martin metrics on the Sierpinski gasket
14: 50 - 15:50 O. Suzuki(Nihon University)
Methods of Kunz algebra for fractals
16:00 - 17:00 A. Kameyama(Osaka University)
Codings of Julia sets for subhyperbolic rational maps
16(Tur.)
9:30 - 10:00 H. Kurata(Yonago College)
Limits of Harmonic functions on sequences of networks
10: 00 - 11:00 H. Aikawa(Shimane University)
Potential theoretic characterizations of nonsmooth domains
11:10 - 12:10 S. Ito(Kanazawa University)
Pisot Substitutions and Polygonal/Fractal Tilings
13:30 - 14:30 Yang Wang(Georgia Institute of Technology)
Unique representation of fractal sets as iterated function systems
14:40 - 15:10 Nertila Gjini(Osaka City University)
On the connectedness of self-affine tiling.
!5: 10 - 15:40 K. Naito(Kumamoto University)
Recurrent dimensions of quasi-periodic orbits with multiple frequencies
16:00 - 17:00 Open Problems
17(Fri.)
9:30 - 10:00 K. Ahara(Meiji University)
Sphairahedral Approach to Parameterize Visible Three Dimensional
Quasi-Fuchsian Fractals
10:00 - 11:00 H. Osada(Nagoya University)
TBA
11:10 - 12:10 Cristophe Sabot(Université de Paris VI)
Operations on electrical networks, symplectic reductions,
and application to the renormalization map of p.c.f. self-similar sets
13:30 - 14:30 Ben Hambly(University of Oxford)
Complex dimensions for random fractal strings
14:40 - 15:40 T. Kumagai(Kyoto University)
Homogenization on fractals
15:50 - 16:50 J. Kigami(Kyoto University)
Volume doubling measures and heat kernel estimate on self-similar sets