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math-ph2009
Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires
Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A. Nicolleau +2
Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs, the blood vessel system, etc. and look self-similar over a wide range of scale…
math-ph2009★ 27 cited
Dispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains
Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A Nicolleau +2
We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-sim…