Fractal uncertainty principle over $\mathbb{Q}_p$

Valentino Badalucco, Leonardo Franchi

Abstract

We prove a fractal uncertainty principle over $\mathbb{Q}_p$ for porous sets, resolving a conjecture of Cohen.

Disclosure

“ed by its values on an appropriate sampling set. Since related questions might have appeared, under different terminology, in either mathematics or engineering, we used deep search tools for academic databases that included a non-reasoning LLM component to scan each article. This search led us to the work of Osgood, Siripuram and Wu [OSW12], which provides the main external input to our proof. Acknowledgments. The authors would like to thank Alex Cohen for interesting discussio”

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Structural counts

Pages 10 pdf
Theorems 4 pdf fallback
Lemmas 3 pdf fallback
Propositions 2 pdf fallback
Corollaries 2 pdf fallback
Definitions 1 pdf fallback
Displayed equations 72 pdf fallback
Bibliography entries 0 pdf fallback
Appendix pages 0 estimated

Count notes

  • arXiv source was unavailable; PDF-text fallbacks were used.
  • Appendix pages include the first PDF page with an explicit Appendix heading through the final page.