# zbMATH — the first resource for mathematics

## Sixsmith, David Jonathan

Compute Distance To:
 Author ID: sixsmith.david-j Published as: Sixsmith, David J.; Sixsmith, D. J.; Sixsmith, Dave; Sixsmith, D. Homepage: https://sixsmith2017.wordpress.com/ External Links: MGP · ORCID
 Documents Indexed: 26 Publications since 2011
all top 5

#### Co-Authors

 10 single-authored 6 Nicks, Daniel A. 3 Evdoridou, Vasiliki 2 Martí-Pete, David 2 Osborne, John W. 2 Rempe-Gillen, Lasse 1 Barth, Karl F. 1 Fagella, Núria 1 Jarque, Xavier 1 Pardo-Simón, Leticia 1 Rippon, Philip Jonathan 1 Short, Ian 1 Vasiliki
all top 5

#### Serials

 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Ergodic Theory and Dynamical Systems 3 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal d’Analyse Mathématique 2 Bulletin of the London Mathematical Society 2 Proceedings of the American Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Collectanea Mathematica 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 Conformal Geometry and Dynamics 1 Pure and Applied Mathematics Quarterly 1 Analysis and Mathematical Physics

#### Fields

 23 Functions of a complex variable (30-XX) 20 Dynamical systems and ergodic theory (37-XX) 1 Real functions (26-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 83 times in 49 Documents Cited by Year
Entire functions for which the escaping set is a spider’s web. Zbl 1238.37014
Sixsmith, D. J.
2011
On the set where the iterates of an entire function are neither escaping nor bounded. Zbl 1347.37087
Osborne, John W.; Sixsmith, David J.
2016
Hyperbolic entire functions and the Eremenko-Lyubich class: Class $$\mathcal {B}$$ or not class $$\mathcal {B}$$? Zbl 1392.37039
Rempe-Gillen, Lasse; Sixsmith, Dave
2017
Dynamics in the Eremenko-Lyubich class. Zbl 1407.37068
Sixsmith, David J.
2018
Maximally and non-maximally fast escaping points of transcendental entire functions. Zbl 1371.37092
Sixsmith, D. J.
2015
A new characterisation of the Eremenko-Lyubich class. Zbl 1307.30063
Sixsmith, D. J.
2014
Julia and escaping set spiders’ webs of positive area. Zbl 1337.30036
Sixsmith, David J.
2015
Simply connected fast escaping Fatou components. Zbl 1333.37058
Sixsmith, D. J.
2012
The dynamics of quasiregular maps of punctured space. Zbl 1428.37044
Nicks, Daniel A.; Sixsmith, David J.
2019
Singularities of inner functions associated with hyperbolic maps. Zbl 1421.30036
Evdoridou, Vasiliki; Fagella, Núria; Jarque, Xavier; Sixsmith, David J.
2019
On fundamental loops and the fast escaping set. Zbl 1417.37167
Sixsmith, D. J.
2013
The size and topology of quasi-Fatou components of quasiregular maps. Zbl 1369.37057
Nicks, Daniel A.; Sixsmith, David J.
2017
Functions of genus zero for which the fast escaping set has Hausdorff dimension two. Zbl 1350.37054
Sixsmith, D. J.
2015
Hollow quasi-Fatou components of quasiregular maps. Zbl 1405.30023
Nicks, Daniel A.; Sixsmith, David J.
2017
Periodic domains of quasiregular maps. Zbl 1406.37040
Nicks, Daniel A.; Sixsmith, David J.
2018
Dynamical sets whose union with infinity is connected. Zbl 1440.37055
Sixsmith, David J.
2020
The bungee set in quasiregular dynamics. Zbl 1417.37166
Nicks, Daniel A.; Sixsmith, David J.
2019
Dimensions of slowly escaping sets and annular itineraries for exponential functions. Zbl 1368.37052
Sixsmith, D. J.
2016
Escaping sets of continuous functions. Zbl 1435.37039
Short, Ian; Sixsmith, David J.
2019
Spiders’ webs in the punctured plane. Zbl 1442.37062
Evdoridou; Vasiliki; Martí-Pete, David; Sixsmith, David J.
2020
Dynamical sets whose union with infinity is connected. Zbl 1440.37055
Sixsmith, David J.
2020
Spiders’ webs in the punctured plane. Zbl 1442.37062
Evdoridou; Vasiliki; Martí-Pete, David; Sixsmith, David J.
2020
The dynamics of quasiregular maps of punctured space. Zbl 1428.37044
Nicks, Daniel A.; Sixsmith, David J.
2019
Singularities of inner functions associated with hyperbolic maps. Zbl 1421.30036
Evdoridou, Vasiliki; Fagella, Núria; Jarque, Xavier; Sixsmith, David J.
2019
The bungee set in quasiregular dynamics. Zbl 1417.37166
Nicks, Daniel A.; Sixsmith, David J.
2019
Escaping sets of continuous functions. Zbl 1435.37039
Short, Ian; Sixsmith, David J.
2019
Dynamics in the Eremenko-Lyubich class. Zbl 1407.37068
Sixsmith, David J.
2018
Periodic domains of quasiregular maps. Zbl 1406.37040
Nicks, Daniel A.; Sixsmith, David J.
2018
Hyperbolic entire functions and the Eremenko-Lyubich class: Class $$\mathcal {B}$$ or not class $$\mathcal {B}$$? Zbl 1392.37039
Rempe-Gillen, Lasse; Sixsmith, Dave
2017
The size and topology of quasi-Fatou components of quasiregular maps. Zbl 1369.37057
Nicks, Daniel A.; Sixsmith, David J.
2017
Hollow quasi-Fatou components of quasiregular maps. Zbl 1405.30023
Nicks, Daniel A.; Sixsmith, David J.
2017
On the set where the iterates of an entire function are neither escaping nor bounded. Zbl 1347.37087
Osborne, John W.; Sixsmith, David J.
2016
Dimensions of slowly escaping sets and annular itineraries for exponential functions. Zbl 1368.37052
Sixsmith, D. J.
2016
Maximally and non-maximally fast escaping points of transcendental entire functions. Zbl 1371.37092
Sixsmith, D. J.
2015
Julia and escaping set spiders’ webs of positive area. Zbl 1337.30036
Sixsmith, David J.
2015
Functions of genus zero for which the fast escaping set has Hausdorff dimension two. Zbl 1350.37054
Sixsmith, D. J.
2015
A new characterisation of the Eremenko-Lyubich class. Zbl 1307.30063
Sixsmith, D. J.
2014
On fundamental loops and the fast escaping set. Zbl 1417.37167
Sixsmith, D. J.
2013
Simply connected fast escaping Fatou components. Zbl 1333.37058
Sixsmith, D. J.
2012
Entire functions for which the escaping set is a spider’s web. Zbl 1238.37014
Sixsmith, D. J.
2011
all top 5

#### Cited by 35 Authors

 13 Sixsmith, David Jonathan 6 Rippon, Philip Jonathan 6 Stallard, Gwyneth Mary 5 Evdoridou, Vasiliki 5 Nicks, Daniel A. 3 Benini, Anna Miriam 3 Bishop, Christopher James 3 Fagella, Núria 3 Langley, James K. 3 Martí-Pete, David 3 Osborne, John W. 3 Rempe-Gillen, Lasse 2 Bergweiler, Walter 2 Fletcher, Alastair N. 2 Lazebnik, Kirill Y. 2 Warren, Luke 1 Albrecht, Simon 1 Boc Thaler, Luka 1 Chyzhykov, Igor Elbertovych 1 Cui, Weiwei 1 Ding, Jie 1 Dourekas, Yannis 1 Jarque, Xavier 1 Kisaka, Masashi 1 Mayer, Volker 1 Pardo-Simón, Leticia 1 Pratscher, Jacob 1 Stoertz, Daniel 1 Tomar, Garima 1 Urbański, Mariusz 1 van Strien, Sebastian J. 1 Vasiliki 1 Wang, Jun 1 Zhang, Gaofei 1 Zhang, Yanhua
all top 5

#### Cited in 27 Serials

 5 Proceedings of the American Mathematical Society 5 Ergodic Theory and Dynamical Systems 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal d’Analyse Mathématique 3 Advances in Mathematics 3 Conformal Geometry and Dynamics 2 Journal of Mathematical Analysis and Applications 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Computational Methods and Function Theory 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Sugaku Expositions 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 New Zealand Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Science China. Mathematics 1 Analysis and Mathematical Physics

#### Cited in 5 Fields

 44 Functions of a complex variable (30-XX) 40 Dynamical systems and ergodic theory (37-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 1 Several complex variables and analytic spaces (32-XX)