Preprints


  1. Jonathan M. Fraser, Pablo Shmerkin and Alexia Yavicoli. Improved bounds on the dimensions of sets that avoid approximate arithmetic progressions. https://arxiv.org/abs/1910.10074 .
  2. Han Yu and Pablo Shmerkin. On sets containing a unit distance in every direction. https://arxiv.org/abs/1912.01523.
  3. Kornélia Héra, Pablo Shmerkin and Alexia Yavicoli. An improved bound for the dimension of (α,2α)-Furstenberg sets. https://arxiv.org/abs/2001.11304 .
  4. Pablo Shmerkin. A nonlinear version of Bourgain's projection theorem. https://arxiv.org/abs/2003.01636 .
  5. Aleksi Pyörälä, Pablo Shmerkin, Ville Suomala and Meng Wu. Covering the Sierpinski carpet with tubes. https://arxiv.org/abs/2006.00499.