## Problem 082 — rank:66

**Title:** Physical mechanism of long-range allostery

**Added binding assumptions (LaTeX):**

```latex
The covariance identity assumes a normalized equilibrium measure, finite covariance and justified differentiation under the integral, with $B_j$ independent of the perturbation parameter. For finite mutations specify the entire changed Hamiltonian and account for folding/unfolding populations. Thermodynamic coupling, structural pathways and kinetic allostery are distinct targets; the established linear-response identity is not itself open.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.