arXiv (All)
open access
Strict Hausdorff-dimension drop for Quartic Salem Bernoulli convolutions
For every quartic Salem number $β$, we prove that the equal-weight Bernoulli convolution $ν_{β^{-1}}$ has Hausdorff dimension strictly less than one. The main step converts large Fourier coefficients at geometrically separated frequencies into a deficit in the Shannon entropy of a finite convolution
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- A sharp density bound for infinite convolutions#1218435
- Diagonal recovery from noisy Fourier--Hermite coefficients: exact orders of the error#1326860
- Settling the Sample Complexity of Rényi Entropy Estimation#1234814
- A Proof of Fraenkel's Conjecture#821597
- Rényi divergences and binary state discrimination error exponents for fermionic quasi-free states#999247
Record · ID 1249496
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive