<p>Proofs and derivations.</p>

<p>Contains all technical tools and detailed proofs supporting the results in the main text, including: the potential function and optional stopping machinery for neutral evolution; the additivity of the fixation probability; the proof that the unbiased () fixation probability is 1/<i>N</i> from any starting location; the proof that the two pure processes cannot both exceed 1/<i>N</i>; the explicit bidegreed fixation probability formula and the sensitivity analysis; the neutral fixation time bounds for the unbiased and bidegreed cases; the constant selection technical tools; the combined derivation of the star fixation probabilities (general <i>r</i> > 0, specializing to neutral evolution); the cycle fixation probability formula; the weak and strong selection fixation time bounds; and the fully polynomial randomized approximation schemes for computing the fixation probability.</p> <p>(PDF)</p>