Iterated Function Systems with Overlaps and Self‐Similar Measures

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A Generalized Finite Type Condition for Iterated Function Systems (2007, background): “, all eigenvalues are in modulus >1) integral similarity matrix (see [6,9,17]).”
Spectral property of the Bernoulli convolutions (2008, background): “Bernoulli convolutions can be put into a more general framework of self-similar measures in R [1,6]:”
Multifractal formalism for self-similar measures with weak separation condition (2009, background): “There are more extensive class of examples of WSC studied in [22,10,39].”
Hausdorff Dimension of Self‐Similar Sets with Overlaps (2001, background): “It is known that for the given range of values of ρ, 2φ " ,φ # ,φ $ ́ does not satisfy the open set condition (see [11]).”