Eigenvalue in Terms of T and K_eff

def proved Dynamics & Crises

Documentation

Lean 4 Proof

def covEigenvaluePerp (T : ℝ) (J : ℕ) (xbar K_eff : ℝ) : ℝ :=
  T * ↑J * xbar ^ 2 / (K_eff * (↑J - 1))

Dependency Graph

Used by

eigenvalue_T_Keff_pos

Location

thesis/CESProofs/Dynamics/ConservationLaws.lean:182

Module Section

Results 36-46: Conservation Laws and Symmetry Identities

In the same file

euler_equilibrium_identity T_cross_sectional compoundSymmetryMatrix compound_symmetry_decomp compound_symmetry_cov compound_symmetry_cov_perp compoundSymmEigMarket compoundSymmEigIdio compound_symmetry_market_eigenvalue compound_symmetry_idio_eigenvalue compound_symmetry_trace eigenvalue_T_Keff_pos portfolio_diversification crooks_reversibility quantified_irreversibility deadweight_from_variance crisis_count_invariant antisym_total_sum_zero antisym_preserves_sum