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math.DS2024
New results on embeddings of self-similar sets via renormalization
Amir Algom, Michael Hochman, Meng Wu
For self-similar sets , we obtain new results towards the affine embeddings conjecture of Feng-Huang-Rao (2014), and the equivalent weak intersections conj…
math.DS2024
On orbit complexity of dynamical systems: intermediate value property and level set related to a Furstenberg problem
Yuanyang Chang, Bing Li, Meng Wu
For symbolic dynamics with some mild conditions, we solve the lowering topological entropy problem for subsystems and determine the Hausdorff dimension of the level set with given…
math.DS2024
Van der Corput and metric theorems for geometric progressions for self-similar measures
Amir Algom, Yuanyang Chang, Meng Wu +1
We prove a van der Corput lemma for non-atomic self-similar measures . As an application, we show that the correlations of all finite orders of conver…