The possible almost sure large Φ-dimensions of random Moran measures are fully characterized, revealing a typical gap between set dimension and attainable measure dimensions when weights are scale-independent.
Troscheit,On the dimensions of attractors of random self-similar graph directed iterated function systems, J
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The attainable almost sure large dimensions
The possible almost sure large Φ-dimensions of random Moran measures are fully characterized, revealing a typical gap between set dimension and attainable measure dimensions when weights are scale-independent.