1 Erratum to: J Stat Phys (2014) 156:455–472 DOI: 10.1007/s10955-014-1012-0

In the article “On Rank Driven Dynamical Systems”, by J. J. P. Veerman and F. J. Prieto, Journal of Statistical Physics, 156:455–472 (2014), the following two errata were detected:

  • In Theorem 2, where it states

    “Furthermore \(\Gamma _{exo}^*\) is strictly increasing and \(C^\infty \) on (0, 1) while \(R^*_{endo} = \Gamma _{endo}^*(R_0)\) is the cdf corresponding to a weighted sum of finitely many delta distributions.”

    it should instead say

    “Furthermore \(\Gamma _{exo}^*\) is strictly increasing and \(C^\infty \) on (0, 1) while \(R^*_{endo} = \Gamma _{endo}^*(R_0)\) is the cdf corresponding to a weighted sum of finitely many step distributions.”

  • In Eq. (8) there is a condition missing. Instead of

    $$\begin{aligned} \alpha _i = \frac{q-p}{n-k(n)} + o(1/n) , \quad \tilde{p} \equiv \sum _{i=1}^{k(n)} \alpha _i , \quad \tilde{\alpha }= \frac{q-p}{n-k(n)} \end{aligned}$$

    the equation should read

    $$\begin{aligned} \alpha _i = \frac{q-p}{n-k(n)} + o(1/n) , \ i > k(n) , \quad \tilde{p} \equiv \sum _{i=1}^{k(n)} \alpha _i , \quad \tilde{\alpha }= \frac{q-p}{n-k(n)} . \end{aligned}$$