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- W4221154387 abstract "We establish matrix representations for self-similar measures on $${mathbb {R}}^d$$ generated by equicontractive IFSs satisfying the finite type condition. As an application, we prove that the $$L^q$$ -spectrum of every such self-similar measure is differentiable on $$(0,infty )$$ . This extends an earlier result of Feng (J. Lond. Math. Soc. 68(1):102–118, 2003) to higher dimensions." @default.
- W4221154387 created "2022-04-03" @default.
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- W4221154387 date "2022-04-11" @default.
- W4221154387 modified "2023-10-14" @default.
- W4221154387 title "Matrix representations for some self-similar measures on $${mathbb {R}}^{d}$$" @default.
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- W4221154387 doi "https://doi.org/10.1007/s00209-022-03019-2" @default.
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