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, Università di Roma "La Sapienza", 00185 Roma, Italy
umberto.mosco@uniroma1.it
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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