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math.DS2026
Pair correlation statistics for dynamical systems
Simon Baker, Mike Todd
We study the pair correlation statistics of orbits generated by maps on the interval. We show that under suitable mixing and multifractal assumptions, the pair correlation statisti…
math.DS2026
Self-similar and self-conformal measures with slow Fourier decay
Simon Baker, Amlan Banaji
Given any function satisfying , we prove the existence of i) self-similar measures and ii) nonlinear self-conf…