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math.DS2025
Projection theorems with countably many exceptions and applications to the exact overlaps conjecture
Meng Wu
We establish several optimal estimates for exceptional parameters in the projection of fractal measures: (1) For a parametric family of self-similar measures satisfying a transvers…
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…