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- W2067062227 abstract "The concept of multifractality is extended to self-affine fractals in order to provide a more complete description of fractal surfaces. We show that for a class of iteratively constructed self-affine functions there exists an infinite hierarchy of exponents ${mathit{H}}_{mathit{q}}$ describing the scaling of the qth order height-height correlation function ${mathit{c}}_{mathit{q}}$(x)ensuremath{sim}${mathit{x}}_{mathit{q}}^{mathit{q}mathit{H}}$. Possible applications to random walks and turbulent flows are discussed. It is demonstrated on the example of random walks along a chain that for stochastic lattice models leading to self-affine fractals ${mathit{H}}_{mathit{q}}$ exhibits phase-transition-like behavior." @default.
- W2067062227 created "2016-06-24" @default.
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- W2067062227 date "1991-08-01" @default.
- W2067062227 modified "2023-10-09" @default.
- W2067062227 title "Multifractality of self-affine fractals" @default.
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- W2067062227 doi "https://doi.org/10.1103/physreva.44.2730" @default.
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