All Outputs (2)

Iterating the Minimum Modulus: Functions of Order Half, Minimal Type (2021)
Journal Article
Nicks, D. A., Rippon, P. J., & Stallard, G. M. (2021). Iterating the Minimum Modulus: Functions of Order Half, Minimal Type. Computational Methods and Function Theory, 21(4), 653–670. https://doi.org/10.1007/s40315-021-00400-w

For a transcendental entire functionf, the property that there exists r> 0 such that mn(r) → ∞ as n→ ∞, where m(r) = min { | f(z) | : | z| = r} , is related to conjectures of Eremenko and of Baker, for both of which order 1/2 minimal type is a signif... Read More about Iterating the Minimum Modulus: Functions of Order Half, Minimal Type.

Which sequences are orbits? (2021)
Journal Article
A. Nicks, D., & J. Sixsmith, D. (2021). Which sequences are orbits?. Analysis and Mathematical Physics, 11(2), Article 53. https://doi.org/10.1007/s13324-021-00493-5

In the study of discrete dynamical systems, we typically start with a function from a space into itself, and ask questions about the properties of sequences of iterates of the function. In this paper we reverse the direction of this study. In particu... Read More about Which sequences are orbits?.