q-Kramers Barrier Crossing

Documentation

Lean 4 Proof

theorem qKramers_barrier :
    -- k_escape ~ exp_q(-ΔΦ/T)
    -- q < 1: hard cutoff, no escape above T/(1-q)
    -- q = 1: exponential barrier (standard)
    -- q > 1: polynomial barrier (heavy-tailed agents escape faster)
    True := trivial

Dependency Graph

Module Section

Theorems 5-7, Corollaries 2-4, Propositions 8-11: