By Christoph Bandt,Peter Mörters,Martina Zähle
Over the final fifteen years fractal geometry has confirmed itself as a considerable mathematical concept in its personal correct. The interaction among fractal geometry, research and stochastics has hugely encouraged fresh advancements in mathematical modeling of advanced buildings. This technique has been compelled via difficulties in those parts with regards to purposes in statistical physics, biomathematics and finance.
This booklet is a suite of survey articles masking a number of the most modern advancements, like Schramm-Loewner evolution, fractal scaling limits, remarkable units for percolation, and warmth kernels on fractals. The authors have been the keynote audio system on the convention "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.