English

Furstenberg-type estimates under mild non-concentration assumptions

Classical Analysis and ODEs 2026-03-20 v1 Combinatorics

Abstract

We prove sharp δ\delta-discretised versions of some variants of the Furstenberg set problem under weaker or different non-concentration assumptions compared to previous works.

Cite

@article{arxiv.2603.19171,
  title  = {Furstenberg-type estimates under mild non-concentration assumptions},
  author = {Tuomas Orponen and Pablo Shmerkin},
  journal= {arXiv preprint arXiv:2603.19171},
  year   = {2026}
}

Comments

22 pages

R2 v1 2026-07-01T11:28:35.104Z