• 1 Overview ▶
    • Navigation
  • 2 Setup and preparatory results ▶
    • 2.1 Notation
    • 2.2 Results from de Launey–Levin
    • 2.3 Fixed-\(n\) asymptotics
    • 2.4 Standard analytic tools
  • 3 Weak comparison
  • 4 Core analysis ▶
    • 4.1 Cumulant identities
    • 4.2 Quartic and quintic bounds
    • 4.3 Log-expansion and small-ball decay
    • 4.4 Cubic phase bound
    • 4.5 Primary estimate
  • 5 Far shell and residual ▶
    • 5.1 Far-shell contraction
    • 5.2 Far-shell integrals
    • 5.3 Residual estimate
  • 6 Main theorem
  • 7 Module guide
  • Dependency graph

Partial Hadamard matrices in the cubic regime — Blueprint

Damek Davis

  • 1 Overview
    • Navigation
  • 2 Setup and preparatory results
    • 2.1 Notation
    • 2.2 Results from de Launey–Levin
    • 2.3 Fixed-\(n\) asymptotics
    • 2.4 Standard analytic tools
  • 3 Weak comparison
  • 4 Core analysis
    • 4.1 Cumulant identities
    • 4.2 Quartic and quintic bounds
    • 4.3 Log-expansion and small-ball decay
    • 4.4 Cubic phase bound
    • 4.5 Primary estimate
  • 5 Far shell and residual
    • 5.1 Far-shell contraction
    • 5.2 Far-shell integrals
    • 5.3 Residual estimate
  • 6 Main theorem
  • 7 Module guide