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Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance.
This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.
Fractals in Engineering; New Trends in Theory and Applications Автор: John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman Год: 2005 |
Techniques in Fractal Geometry Автор: Kenneth Falconer Год: 1997 |
Mathematical Models and Methods for Real World Systems Автор: K.M. Furati, Abul Hasan Siddiqi Год: 2005 |
Signal processing with fractals: a wavelet-based approach Автор: Gregory Wornell Год: 1995 |
Fractals and Universal Spaces in Dimension Theory Автор: Stephen Lipscomb Год: 2008 |
Fractal modelling: growth and form in biology Автор: Jaap A. Kaandorp Год: 1994 |