Publications
2025
Bounded Fatou and Julia components of meromorphic functions
Martí-Pete, D., Rempe, L., & Waterman, J. (n.d.). Bounded Fatou and Julia components of meromorphic functions. Mathematische Annalen. doi:10.1007/s00208-023-02725-4
2021
Wiman-Valiron Discs and the Dimension of Julia Sets
Waterman, J. (2021). Wiman-Valiron Discs and the Dimension of Julia Sets. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021(12), 9545-9566. doi:10.1093/imrn/rnaa029
2020
IDENTIFYING LOGARITHMIC TRACTS
Waterman, J. (2020). IDENTIFYING LOGARITHMIC TRACTS. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 45, 739-749. doi:10.5186/aasfm.2020.4543
2019
SLOW ESCAPE IN TRACTS
Waterman, J. (2019). SLOW ESCAPE IN TRACTS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 147(7), 3087-3101. doi:10.1090/proc/14509
2016
On the infinitesimal space of UQR mappings
Fletcher, A., Macclure, D., Waterman, J., & Wesley, S. (2016). On the infinitesimal space of UQR mappings. The Journal of Analysis, 24(1), 67-81. doi:10.1007/s41478-016-0003-8