MONDAY, 4 June

TUESDAY, 5 June

WEDNESDAY, 6 June

THURSDAY, 7 June

FRIDAY, 8 June

18.00-21.00 Registration desk open in the entrance hall of the
Insitute of Mathematics, Steyrergasse 30.

If you are already in Graz,

08.00-09.00 Registration

Morning session: chair B. Hambly

9.00-9.30 Opening

9.30-10.20 Th. Coulhon (Cergy): Estimates for transition
probabilities of random walks on infinite graphs

10.20-10.50 Coffee break

10.50-11.40 M. Barlow (Vancouver): Which values of the volume growth and
anomalous diffusion exponents are possible?

12.00-12.30 C. Sabot: Spectral properties of fractal lattices and
iteration of rational maps

12.30-14.20 Lunch break

Afternoon session 1: chair M. Lapidus

14.20-15.10 K. Falconer (St. Andrews): Fractal aspects of random fields

15.30-16.00 C. Bandt: Global and local symmetries of self-similar
sets

16.00-16.30 Coffee break

Afternoon session 2: chair K. Falconer

16.30-17.00 J.-M. Rey: Properties of the dimension of a measure and
the behaviour of correlation dimensions

17.00-17.30 Y. Xiao: Renewal techniques for small ball
probabilities of Brownian motion restrict to self-similar sets

17.30-18.00 E. Teufl: Hausdorff-dimension of overlapping self-similar
sets and combinatorics on words

18.00-18.30 P. Siri: A stochastic algorithm to compute optimal
probabilities in the chaos-game

Morning session: chair

09.00-09.50 M. Mendès-France (Bordeaux): Infinite chains of strings and
masses

09.50-10.20 Coffee break

10.20-11.10 A. Lasota (Katowice): Fractals, Multifunctions, and Markov Operators

11.30-12.00 J. Myjak: On dimensions of measures

12.00-14.00 Lunch break

Afternoon session: chair

14.00-14.50 A. Teplyaev (Riverside): Dirichlet form analysis on the Sierpinski
gasket

15.00-15.30 B. Krön: Self-similar graphs and their spectrum

15.30-16.00 C. Wolf: Fractal Julia sets in complex dynamics of C²

16.00-16.30 Coffee break

16.30-17.00 N. Glazunov: Number theory, dynamical systems, and
distribution of numerical sequences

17.00-17.30 Z. Buczolich: Hölder spectrum of typical monotone
continuous functions

17.30-18.00 R. Winkler: Hausdorff dimensional results connected with
the distribution of subsequences

18.00-18.30 N. Patzschke: Tangent measure distributions of
self-conformal measures

19.30 Reception by the Governor of the Province of Styria, Grazer Burg

Morning session: chair

09.00-09.50 H. Furstenberg (Jerusalem): Ergodic Theory and the Geometry of
Fractals

09.50-10.20 Coffee break

10.20-11.10 R. I. Grigorchuk (Moscow): From fractal groups to fractal sets

11.30-12.00 M. Zähle: Riesz potentials and Besov spaces on fractals

12.00-14.00 Lunch break

14.00-22.00 Excursion to Riegersburg castle including guided tour through the castle (or alternatively an exhibition on
witches) followed by a rustic dinner in a local winery

Morning session: chair

09.00-09.50 M. Lapidus (Riverside): Fractal Geometry and Number Theory

09.50-10.20 Coffee break

10.20-10.50 J. Thuswaldner: Neighbours of tiles in periodic tilings

10.50-11.20 C. Escribaño: A Combinatorial Method to Calculate Local
Measure Dimension

11.20-11.50 S. Sastre: Hausdorff Dimension of Self-Similar
Measures without the Open Set Condition

11.50-12.20 W. Steiner: Digital Expansions and Rauzy Fractals

12.20-14.00 Lunch break

Afternoon session: chair

14.00-14.50 T. Kumagai (Kyoto): Large Deviations and laws of the iterated
logarithm for Brownian Motion on fractals

15.00-15.30 S. Koch: Construction of a Poisson boundary

15.30-16.00 V. A. Kaimanovich: Fractals and hyperbolicity

16.00-16.30 Coffee break

16.30-17.00 A. Soos: Selfsimilar fractal functions using contraction
method in probabilistic metric spaces

17.00-17.30 A. Petrusel: Fixed points and fractals

17.30-18.00 W. Slomczynski: Entropy, dynamics, and fractals

18.00-18.30 R. Peirone: Convergence of Discrete Dirichlet Forms
to Continuous Dirichlet Forms on Fractals

Popular talk for a general audience (in German):

16.00-17.00 Aula der TU Graz: H.-O. Peitgen: Ordnung im Chaos -- Chaos in der Ordnung

19.30 Reception by the Mayor of Graz (Aula der TU Graz)

Morning session: chair

09.00-09.50 B. Hambly (Oxford): Branching processes and random recursive
fractals

09.50-10.20 Coffee break

10.20-10.50 A. Telcs: Random walks and a new type of Harnack
inequalities

10.50-11.20 K. Hattori: Self-repelling Walk on the Sierpinski
Gasket

11.20-11.50 T. Lundh: Martin boundary of a fractal domain

11.50-12.20 V. Metz: Uniqueness of Laplacians on fractals and
[0,1]^{d}: orthogonal currents of reducible Dirichlet forms

12.20-14.00 Lunch break

Afternoon session: chair

14.00-14.50 J. Kigami (Kyoto): Quasidistance and heat kernel asymptotics
on self-similar sets

15.00-15.30 U. Freiberg: An Application of the Renewal Theorem to
Measure Geometric Laplacians on Fractals

15.30-16.00 V. E. Arkhincheev: Microscopic models with anomalous
diffusion and its generalizations

16.00-16.30 Coffee break

16.30-17.00 D. Guido: Fractals in Noncommutative Geometry

17.00-17.30 M. Ndoye: On the Black-Scholes model driven by mixed
multifractal Brownian motion

17.30-18.00 G. Goodman: How Statistical Mechanical Ideas Arise in a
Problem of Computer Graphics

18.00-18.30 A. Goetz: Self similar structures in the dynamics of
piecewise rotations