On the Frisch–Parisi conjecture

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CONFIDENCE BANDS IN DENSITY ESTIMATION (2010, result): “Inspired by these ideas and recent results of Jaffard (1997, 2000), we can now state the main result of this subsection which says that the set of functions in the Banach space Ct(R) that do not satisfy the lower bound in Condition 3 is nowhere dense in this space.”
From Multifractal Measures to Multifractal Wavelet Series (2005, methodology): “These functional spaces are an especially relevant frame to work with in the frame of multifractal analysis of functions [31], and to find natural random wavelet series with concave spectra in such spaces was the initial motivation of this work.”
How smooth is almost every function in a Sobolev space (2006, result): “The first and second points coincide with the Baire-type results of [11].”
Honest adaptive confidence bands and self-similar functions (2011, unknown): “Similar conditions have been considered by previous authors, in the context of turbulence by Frisch and Parisi (1985) and Jaffard (2000), and more recently in statistical applications by Picard and Tribouley (2000) and Giné and Nickl (2010).”