OAI/Probability/InvariantIsing/Gaussian/GaussianCoordinateNorm.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Exact second moments and the square-root dimension bound for coordinate Gaussian norms.

  1. def OAI.InvariantIsing.gaussianCoordinateVector line 12
  2. lemma OAI.InvariantIsing.gaussianCoordinate_memLp line 15
  3. lemma OAI.InvariantIsing.gaussianCoordinate_sq_integral line 20
  4. lemma OAI.InvariantIsing.gaussianCoordinateVector_sq_integrable line 32
  5. lemma OAI.InvariantIsing.gaussianCoordinateVector_memLp line 38
  6. lemma OAI.InvariantIsing.gaussianCoordinateVector_sq_integral line 47
  7. lemma OAI.InvariantIsing.gaussianCoordinateVector_norm_integral_le line 54