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 qFractal Geometry and Stochastics IVq at Greifswald in September 2008.Christoph Bandt, Peter MAprters, Martina ZAchle. B=B(x0, r) Applying (6.1) for the ball B (a, r/4), we obtain P.1.B(x, y, 1) A e in B (a, r/16), provided that t satisfies p() alt; 0. (6.8) It follows that, for any a an #B, P.11b agt; 1a2 in B(r, r/16), whence P.11B agt; 1 anbsp;...

Title | : | Fractal Geometry and Stochastics IV |

Author | : | Christoph Bandt, Peter Mörters, Martina Zähle |

Publisher | : | Springer Science & Business Media - 2010-01-08 |

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