Publications and preprints

• • L^2-flattening of self-similar measures on non-degenerate curves. Preprint.
    With Osama Khalil.

  • Recent progress on pointwise normality of self-similar measures. Preprint. 

  • How linear can a non-linear hyperbolic IFS be?. Preprint.
    With Snir Ben Ovadia, Federico Rodriguez Hertz, and Mario Shannon.

  • New results on embeddings of self-similar sets via renormalization. Preprint.
    With Mike Hochman and Meng Wu.

  • On the dimension of orthogonal projections of self-similar measures.
    Journal of the London Mathematical Society, 2025. With Pablo Shmerkin.

  • Spectral gaps and Fourier decay for self-conformal measures in the plane.
    Trans. Amer. Math. Soc., 2025.
    With Federico Rodriguez Hertz and Zhiren Wang

  • Van der Corput and metric theorems for geometric progressions for self-similar measures.
    Mathematische Annalen, 2025.
    With Yuanyang Chang, Meng Wu, and Yu-Liang Wu. Talk at MFO.

  • Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures. Submitted.
    With Federico Rodriguez Hertz and Zhiren Wang. Talk by Zhiren at ICREM.       

  • Large slices through self affine carpets.
    Proceedings of fractals and related fields IV, 2025. With Meng Wu. 

  • Arbitrarily slow decay in the logarithmically averaged Sarnak conjecture.
    J. Math. Anal. Appl, 2024. With  Zhiren Wang.

  • Arbitrarily slow decay in the Möbius disjointness conjecture.
    Erg. Theory & Dyn. Syst., 2022. With  Zhiren Wang. Talk by Zhiren at the IAS.

  • On normal numbers and self-similar measures.
    Adv. Math., 2022. With Simon Baker and Pablo Shmerkin. Talk by Simon at the Porto DS seminar.

  • Logarithmic Fourier decay for self conformal measures.
    Journal of the London Mathematical Society, 2022.
    With Federico Rodriguez Hertz and Zhiren Wang. Talk at the One World Fractals seminar.

  • Improved versions of some Furstenberg type slicing Theorems for self-affine carpets.
    International Mathematics Research Notices, 2022.
    With Meng Wu.

  • Pointwise normality and Fourier decay for self-conformal measures.
    Adv. Math., 2021.
    With Federico Rodriguez Hertz and Zhiren Wang.

  • Actions of diagonal endomorphisms on conformally invariant measures on the 2-torus.
    Monatsh. Math., 2021.

  • A simultaneous version of Host’s equidistribution Theorem.
    Trans. Amer. Math. Soc., 2020.

  • Slicing theorems and rigidity phenomena for self affine carpets.
    Proc. London Math. Soc., 2020.

  • Affine embeddings of Cantor sets in the plane.
    Journal d’Analyse Mathématique, 2020.

  • Self embeddings of Bedford-McMullen carpets.
    Ergodic Theory Dynam. Systems, 2019. With Mike Hochman.

  • Affine embeddings of Cantor sets on the line.
    Journal of Fractal Geometry, 2018.