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- W2023110771 abstract "We prove several related results concerning the genericity (in the sense of Baire's categories) of multifractal functions. One result asserts that, if s−d/p>0 , quasi-all functions of the Sobolev space Lp,s(Rd) (or the Besov space Bs,qp(Rd) ) are multifractal functions, with a spectrum of singularities supported by the interval [s−d/p,s] , on which the spectrum is d(H)=d−(s−H)p . Another result asserts that the Frisch–Parisi conjecture also holds for quasi-all functions, if the range of p s over which one computes the Legendre transform is chosen appropriately." @default.
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- W2023110771 date "2000-06-01" @default.
- W2023110771 modified "2023-10-14" @default.
- W2023110771 title "On the Frisch–Parisi conjecture" @default.
- W2023110771 doi "https://doi.org/10.1016/s0021-7824(00)00161-6" @default.
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