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math.FA2018
Fixed Points of anti-attracting maps and Eigenforms on Fractals
Roberto Peirone
An important problem in analysis on fractals is the existence of a self-similar energy on finitely ramified fractals. The self-similar energies are constructed in terms of eigenfor…
math.FA2017
A P.C.F. Self-Similar Set with no Self-Similar Energy
Roberto Peirone
A general class of finitely ramified fractals is that of P.C.F. self-similar sets. An important open problem in analysis on fractals was whether there exists a self-similar energy…