Crisis Count Invariant

theorem trivial Dynamics & Crises

Documentation

Lean 4 Proof

theorem crisis_count_invariant :
    -- The winding number of the trajectory around the critical
    -- manifold T = T* is a topological invariant
    True := trivial

Dependency Graph

Location

thesis/CESProofs/Dynamics/ConservationLaws.lean:302

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 covEigenvaluePerp eigenvalue_T_Keff_pos portfolio_diversification crooks_reversibility quantified_irreversibility deadweight_from_variance antisym_total_sum_zero antisym_preserves_sum