New Directions in Fractal Geometry

This event is held at the Australian National University Canberra and the Coastal Campus at Kioloa A collection of world experts in the field of fractal geometry to will come together to discuss some emerging hot topics. This will engage Australian researchers in this important and fast moving field. The conference will stimulate collaboration between theory and applications in a workshop environment. There will be plenty of opportunities for graduate students and young researchers to interact with more experienced people and learn about fruitful research areas for example:

• Geometry and Topology of Fractals
• Fractals in Computation and Numerical Analysis
• Fractal Transformations, Tiling and Numeration
• Fractal functions with emphasis on Wavelets

There will be a focus on applications including:

• Antenna design
• Design of materials with specific properties
• Fractal scanners
• Image compression and recognition

List of speakers:

Christoph Bandt (University of Greifswald, Germany). All round fractal mathematician, theory and applications. He is an excellent expositor.

Michael Barnsley (Australian National University, Australia). He is well known for his theoretical and applied work in fractal geometry. Currently he is working on the geometry and topology of fractal manifolds, and their applications.

Valérie Berthé (CNRS-University Paris Diderot, France). She is Deputy Director of the Laboratory of Computer Algorithms LIAFA in CNRS. She works on automata, shift spaces, symbolic dynamics and combinatorics, mainly associated with fractals.

Jonathan Borwein (University of Newcastle, Australia). He is a leading expert in broad areas of mathematics, including number theory, special functions, experimental and computational mathematics. He is currently studying quadrature over IFS generated fractals.

Nathan Cohen (Fractal Antenna Systems Inc, USA). He is world authority on the design of antenna systems based on fractal theories. His company designs, manufactures, and licenses the most compact and powerful antennas in the world which are used in the most demanding commercial, military, and government applications.

Thierry Coulhon (Australian National University, Australia). He is an internationally well known expert in heat kernels and analysis on manifolds, graphs, and metric measure spaces.

Jeffrey Geronimo (Georgia Institute of Technology, USA). He is an expert in orthogonal polynomials on fractals.

Douglas Hardin (Vanderbilt University, USA). His work interplays between fractal geometry and wavelets.

Markus Hegland (Australian National University). His work is in computational mathematics.

Konstantin Igudesman (Kazan State University, Russia). His current research interests are fractal geometry, iterated function systems and dynamic systems, in particular random recursive constructions, graph directed constructions and their generalizations. He has a deep interest in applications.

Stéphane Jaffard (Université of Paris Est, France). He works in fractal geometry, multispectral analysis and digital imaging.

Jun Kigami (Kyoto University, Japan). World authority on Laplacians on fractals.

Ka-Sing Lau (Chinese University of Hong Kong, Hong Kong). His research includes harmonic analysis, fractal geometry and wavelet theory.

Krzysztof Leśniak (Nicolaus Copernicus University, Poland). Works on the topology of fractal attractors.

Peter Massopust (Technical University of Munich, Germany). He works in fractal interpolation and approximation theory.

Károly Simon (Budapest University of Technology and Economics, Hungary). All round fractal mathematician, theory and applications.

Nina Snigreva (University College Dublin, Ireland). She works on IFS theory with condensation sets, beta-transformations and Teichmüller spaces.

Wolfgang Steiner (University Paris Diderot, France). He works on numeration, betatransformations and tilings.

Andrei Tetenov (Gorno‐Altaisk University, Russia). His main interests are the geometry of self- similar sets, their interaction with convexity and especially, to the geometry of selfsimilar Jordan arcs.

Jörg M. Thuswaldner (University of Leoben, Austria). He works on numeration, encryption and fractal tiling.

Andrew Vince (University of Florida, USA). He is a well known mathematician, in both discrete mathematics and fractal geometry, most particularly, in tiling theory. He uses visualization and carefully thought through analysis to explain subtle mathematics