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Cone upgrade for effective equidistribution and weighted Khintchine--Schmidt theorem on fractals

Aggarwal, Gaurav et al.
arXiv (All) · Papers
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dynamical-systemsnumber-theoryprobability
We prove a fractal analogue of the weighted theorems of Khintchine and Schmidt for products of self-similar measures on the real line whose defining iterated function systems share a common contraction ratio. The proof translates the counting problem into homogeneous dynamics and builds on recent wo
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