OAI/Probability/InvariantIsing/Gaussian/GaussianPatternAspect.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The actual integer Gaussian pattern counts and their aspect-ratio limits.

  1. lemma OAI.InvariantIsing.gaussianPatternCount_le line 12
  2. lemma OAI.InvariantIsing.gaussianPatternCount_ratio_tendsto line 17
  3. lemma OAI.InvariantIsing.gaussianPatternCount_sqrt_ratio_tendsto line 39
  4. lemma OAI.InvariantIsing.gaussianPattern_mean_div_sqrt_le line 44
  5. lemma OAI.InvariantIsing.gaussianPattern_mean_sq_div_le line 53