Pure Collapse — Shumailov Limit

theorem proved Dynamics & Crises

Documentation

Lean 4 Proof

theorem pure_collapse_steady_state (M : ℝ) :
    M * (0 : ℝ) = 0 := mul_zero M

Dependency Graph

Location

thesis/CESProofs/Dynamics/VarianceCollapse.lean:167

Module Section

Results 86-92: Endogenous Variance Dynamics

In the same file

variance_decay_nonneg decay_factor_in_unit variance_decay_monotone varianceRecurrence steady_state_variance steady_state_unique steadyStateSusceptibility susceptibility_proportional_to_M varianceGap variance_gap_shrinks pure_collapse_susceptibility minimum_information_sources double_jeopardy