Stefano Crotti, Alfredo Braunstein
The article is found at https://www.pnas.org/doi/10.1073/pnas.2307935120, the supplementary information at https://www.pnas.org/doi/10.1073/pnas.2307935120#supplementary-materials.
- At page 2, below equation 5, it should be "In the limit
$p_0 \to 1$ " instead of "In the limit$p_0 \to 0$ ". - At page 5, below equation 12, the text says
$p(m)$ has a minimum at$m\approx 0.145$ . It should be either$p(m)$ has a maximum at$m\approx 0.145$ or$g(m)$ has a minimum at$m\approx 0.145$ . - In section 1 of the supplementary information, on pages 2-3, equations S1, S2, S3, S5, and S7 have a minus sign after
$\exp\left \{ \right .$ , which should not be there. - In section 2 of the supplementary information, on page 3, equation S8 says
$f_i^1(x_i^1|\boldsymbol{x}^0_{\partial i}, x_i^0)$ when it should be$f_i^1(x_i^1,\boldsymbol{x}_{\partial i}^0, x_i^0)$ , without conditioning. - In section 6 of the supplementary information, on page 5, the upper line of equaition S39 says
$\lambda_{ki}\delta(y_j^t,I)$ when it should be$\lambda_{ki}\delta(y_k^t,I)$ . Also, the "if" condition$x_k^t=S$ should be$x_k^t=I$ .