Modular Bourgain-Tzafriri Restricted Invertibility Conjectures and Johnson-Lindenstrauss Flattening Conjecture
K. Mahesh Krishna
TL;DR
This paper introduces modular conjectures related to restricted invertibility and Johnson-Lindenstrauss flattening, providing a self-contained treatment to enhance accessibility and understanding of these mathematical conjectures.
Contribution
It formulates and explains the modular versions of the Bourgain-Tzafriri and Johnson-Lindenstrauss conjectures, making them more accessible to researchers.
Findings
Formulation of modular restricted invertibility conjectures
Formulation of modular Johnson-Lindenstrauss flattening conjecture
Self-contained exposition for broader accessibility
Abstract
We recently formulated important Modular Bourgain-Tzafriri Restricted Invertibility Conjectures and Modular Johnson-Lindenstrauss Flattening Conjecture in the Appendix of \textit{[arXiv: 2207.12799.v1]}. For the sake of wide accessibility we give a self-contained treatment of them.
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Taxonomy
TopicsCoding theory and cryptography · Algebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems