OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/PlanarSharpDecay.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

A sharp exponential rate for the actual planar resolvent mode. Gaussian exponential tilting gives a polynomial prefactor and decay exp (-|r|), as needed to bracket the contact hoppings at lengths (1±ε)D.

  1. theorem OAI.ContinuumCoulomb.planarHeatKernel_tilt line 13
  2. theorem OAI.ContinuumCoulomb.planarForcing_exponential_bound line 26
  3. theorem OAI.ContinuumCoulomb.planarHeatForcing_tilt_bound line 37
  4. theorem OAI.ContinuumCoulomb.planarHeatAverage_tilt_bound line 52
  5. theorem OAI.ContinuumCoulomb.planarResolventMode_tilt_bound line 62
  6. theorem OAI.ContinuumCoulomb.planar_tilt_envelope_sharp_upper line 85
  7. theorem OAI.ContinuumCoulomb.planarResolventMode_sharp_upper line 125