Fractal Concepts in Condensed Matter Physics

1. Introduction.- 2. Fractals.- 3. Percolating Networks as Random Fractals.- 4. Multifractals.- 5. Anomalous Diffusion on Fractal Networks.- 6. Atomic Vibrations of Percolating Networks.- 7. Scaling Arguments for Dynamic Structure Factors.- 8. Spin Waves in Diluted Heisenberg Antiferromagnets.- 9. Anderson Transition.- 10. Multifractals in the Anderson Transition.- Appendices.- A. Multifractality of the HRN Model.- B. Spectral Dimensions for Deterministic Fractals.- B.1 Sierpinski Gasket.- B.2 Mandelbrot-Given Fractal.- C. Diffusion and Dynamics on Networks.- C.1 Atomic Vibrations.- C.2 Spin Waves in Diluted Ferro- and Antiferromagnets.- C.3 Superconducting Networks.- D. Wigner Distributions.- References.

From the reviews:

"The book provides a complete view of the fractals structures in condensed matter. Each chapter has got clear and advanced theory about the subject, gives many applications on various domains and ... gives numerical simulation and experiment process. ... This book could be used by those who want very advanced introduction on fractal theory and the others who research a performant work tool on the subject." (Olivier Vanoverschelde, Physicalia, Vol. 57 (3), 2005)

"The presentation is pedagogical and it starts off from elementary considerations. ... To my mind the most exciting feature of the book is the treatment of the so-called Anderson transition. ... I find this book both timely and inspiring. It is well written, its arguments are clearly presented and it covers areas of physics where significant progress has taken place over the last decades. I can recommend it both to students of condensed matter and experienced researchers who want an orientation in this timely area." (Professor S. Stenholm, Contemporary Physics, Vol. 45 (4), 2004)