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
$$\begin{aligned} \alpha _i = \frac{q-p}{n-k(n)} + o(1/n) , \ i > k(n) , \quad \tilde{p} \equiv \sum _{i=1}^{k(n)} \alpha _i , \quad \tilde{\alpha }= \frac{q-p}{n-k(n)} . \end{aligned}$$
Author information
Authors and Affiliations
Corresponding author
Additional information
The online version of the original article can be found under doi:10.1007/s10955-014-1012-0.
Rights and permissions
About this article
Cite this article
Veerman, J.J.P., Prieto, F.J. Erratum to: On Rank Driven Dynamical Systems. J Stat Phys 161, 1324 (2015). https://doi.org/10.1007/s10955-015-1372-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10955-015-1372-0