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Fractals

General

Кроновер Р М, Фракталы и хаос в динамических системах: Основы теории (М., Постмаркет, 2000)

Falconer K, Techniques in fractal geometry (Wiley, 1997)

Harte D, Multifractals: Theory and applications (CRC, 2001)

Gouyet J F, Physics and Fractal Structures (Springer, 1996)

Fractal geometry and stochastics, ed Bandt C, Graf S, Zahle M, Progress in Probability 37 (Birkhauser, 1995)

Турбин А Ф, Працевитый Н В, Фрактальные множества, функции, распределения (Наукова думка, 1992) – +

Федер Е, Фракталы (Мир, 1991)

Falconer K, Fractal geometry: Mathematical foundations and applications (Wiley, 1990)


Мандельброт Б, Фрактальная геометрия природы (М., ИКИ, 2002)

Божокин С В, Паршин Д А, Фракталы и мультифракталы (Ижевск, 2001)

Пайтген Х-О, Рихтер П Х, Красота фракталов. Образы комплексных динамических систем (Мир, 1993) – +

Miscellaneous

Lowen S B, Teich M C, Fractal-based point processes (Wiley, 2005)

Kroger H, Fractal geometry in quantum mechanics, field theory and spin systems, PR 323, 81 (2000)

Bouchaud E, Scaling properties of cracks, JPC 9, 4319 (1997)


Stenull O, Multifractality in a broad class of disordered systems, PRE 70, 015101 (2004)

Hilfer R, Review on scale dependent characterization of the microstructure of porous media, cond-mat/0105458

Tarafdar S, Franz A, Schulzky C, Hoffmann K H, Modelling porous structures by repeated Sierpinski carpets, PA 292, 1 (2001)

Bhattacharyya B, Chakrabarti A, Anisotropy-isotropy transition in a Sierpinski gasket fractal, PRB 58, 2376 (1998)

Hamburger-Lidar D A, Elastic scattering by deterministic and random fractals: Self-affinity of the diffraction spectrum, PRE 54, 354 (1996)

Brisson G F, Reiter C A, Sierpinski fractals from words in high dimensions, Chaos Solitons Fractals 5, 2191 (1995)

Barlow M T, Hattori K, Hattori T, Watanabe H, Restoration of isotropy on fractals, PRL 75, 003042 (1995)