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Journal of Convex Analysis 09 (2002), No. 2, 581--600
Copyright Heldermann Verlag 2002

Energy Functionals on Certain Fractal Structures

Umberto Mosco
Dip. di Fisica, UniversitÓ di Roma "La Sapienza", 00185 Roma, Italy

We describe -- going back to the early eighties -- a few ideas occurring in some papers by physicists and mathematicians concerning the dynamical properties of certain fractal structures and we outline an effective metric theory devised to bring these ideas together, in a metric framework of pseudo-Riemannian type.

Keywords: Fractals, quasi-distances, doubling measures, Lagrangeans.

MSC: 46E35; 28A80

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