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math.DS2020★ 5 cited
Fourier transform and expanding maps on Cantor sets
Tuomas Sahlsten, Connor Stevens
We study the Fourier transforms of non-atomic Gibbs measures for uniformly expanding maps of bounded distortions on or Cantor sets with strong separa…
math.DS2018★ 8 cited
Fourier decay in nonlinear dynamics
Tuomas Sahlsten, Connor Stevens
We study when Fourier transforms of Gibbs measures of sufficiently nonlinear expanding Markov maps decay at infinity at a polynomial rate. Assuming finite Lyapunov exponent, we red…