The energy form on a conformal C^1 diffeomorphic image G of the Sierpinski gasket K is constructed by iterating the Lagrangian L_G on G, which is given in terms of a pullback of the Lagrangian L_k on K and of the differential of the diffeomorphism. The extension of this approach to the class of nested fractals is outlined.
Energy forms on a C^1 diffeomorphic images of the Sierpinski gasket / Lancia, Maria Rosaria; Freiberg, U.. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 3:(2008), pp. 337-349. [10.1002/mana.200510606]
Energy forms on a C^1 diffeomorphic images of the Sierpinski gasket
LANCIA, Maria Rosaria;
2008
Abstract
The energy form on a conformal C^1 diffeomorphic image G of the Sierpinski gasket K is constructed by iterating the Lagrangian L_G on G, which is given in terms of a pullback of the Lagrangian L_k on K and of the differential of the diffeomorphism. The extension of this approach to the class of nested fractals is outlined.File allegati a questo prodotto
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