On Furstenberg's intersection conjecture, self-similar measures, and the $L^q$ norms of convolutions

Proof-critical source

Winning property of counterexamples to Uniform Littlewood's Conjecture

This paper is included only for the following marked statements:

• Theorem 1.11 · VOR pp. 330–365The Lq-dimension formula for pleasant dynamically driven self-similar models.
• Theorem 6.2 · VOR pp. 367–369Lq dimension and Frostman bounds for exponentially separated homogeneous self-similar measures.
• Corollary 6.3 · VOR pp. 369–370Irrational-slope projections preserve Hausdorff dimension of every Borel subset of the one-dimensional Sierpiński gasket.