This is an announcement for the paper "Examples of k-iterated spreading models" by Spiros A. Argyros and Pavlos Motakis. Abstract: It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-iterated spreading model, but not as a $k$-iterated one. Archive classification: math.FA Remarks: 16 pages, no figures Submitted from: pmotakis@central.ntua.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1105.2714 or http://arXiv.org/abs/1105.2714