Sections / Section 9: CES Potential and Information Friction / cesPotential

CES Potential

defprovedCES Potentialkey theorem

Documentation

Lean 4 Proof

def cesPotential (J : ℕ) (q T : ℝ) (p : Fin J → ℝ) (ε : Fin J → ℝ) : ℝ :=
  ∑ j : Fin J, p j * ε j - T * tsallisEntropy J q p

Dependency Graph

Used by

cesPotential_uniform_equal cesPotential_eq_effectiveCESPotential cesPotential_affine_in_T LyapunovProperty cesPotential_zero_friction cesPotential_uniqueness cesPotential_symmetric

Location

thesis/CESProofs/Potential/Defs.lean:121

Module Section

Core definitions for the Lean formalization of Paper 2:

In the same file

qLog qExp qLog_one qExp_zero qLog_eq_of_ne qExp_eq_of_ne OnSimplex OnOpenSimplex tsallisEntropy tsallisEntropy_uniform effectiveCurvatureKeff criticalFriction effectiveCurvatureKeff_zero_friction effectiveCurvatureKeff_above_critical effectiveCurvatureKeff_nonneg effectiveCurvatureKeff_le_K effectiveCurvatureKeff_pos uniform_onOpenSimplex OnOpenSimplex.toSimplex cesPotential_uniform_equal