Currently browsing: Items authored or edited by Philip Rippon https://orcid.org/0000-0003-4844-1190

Benini, Anna Miriam; Evdoridou, Vasiliki; Fagella, Núria; Rippon, Philip and Stallard, Gwyneth (2024). Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains. Advances in Mathematics, 446, article no. 109673.

• Download Published Version (PDF / 843kB)

Barth, Karl F.; Rippon, Philip J. and Sixsmith, David J. (2017). The MacLane class and the Eremenko-Lyubich class. Annales Academiae Scientiarum Fennicae Mathematica, 42 pp. 859–873.

• Download Published Version (PDF / 477kB)

Benini, Anna Miriam; Rippon, Philip J. and Stallard, Gwyneth M. (2016). Permutable entire functions and multiply connected wandering domains. Advances in Mathematics, 287 pp. 451–462.

• Download Accepted Manuscript (PDF / 336kB)

Bergweiler, Walter; Rippon, Philip and Stallard, Gwyneth (2013). Multiply connected wandering domains of entire functions. Proceedings of the London Mathematical Society, 107(6) pp. 1261–1301.

• Request a copy from the author This file is not available for public download

Bergweiler, W.; Rippon, Philip J. and Stallard, Gwyneth M. (2008). Dynamics of meromorphic functions with direct or logarithmic singularities. Proceedings of the London Mathematical Society, 97(2) pp. 368–400.

Barth, Karl F. and Rippon, Philip J. (2008). Non-tangential limits of slowly growing analytic functions. Computational Methods and Function Theory, 8(1) pp. 85–99.

Barth, Karl and Rippon, Philip (2006). Exceptional values and the MacLane class. In: Borichev, Alexander; Hedenmalm, Håkan and Zhu, Kehe eds. Bergman spaces and related topics in complex analysis: proceedings of a conference in honor of Boris Korenblum’s 80th birthday. Contemporary mathematics (404). Providence, RI, USA and Ramat-Gan, Israel: American Mathematical Society and Bar-Ilan University, pp. 41–52.

Barth, K. F. and Rippon, Philip (2006). Extensions of a theorem of Valiron. Bulletin of the London Mathematical Society, 38(5) pp. 815–824.

Barth, Karl F. and Rippon, Philip J. (2005). Asymptotic values of strongly normal functions. Arkiv för Matematik, 43(1) pp. 69–84.

Barth, Karl F. and Rippon, Philip J. (2004). On a problem of MacLane concerning arc tracts. Computational Methods and Function Theory, 4 pp. 405–418.

Barth, Karl F. and Rippon, Philip J. (2003). Infinitely many asymptotic values of locally univalent functions. Annales Academiae Scientiarum Fennicae Mathematica, 28 pp. 303–314.

• Published Version (PDF) This file is not available for public download

Barth, Karl F. and Rippon, Philip J. (2002). Asymptotic tracts of locally univalent functions. Bulletin of the London Mathematical Society, 34 pp. 200–204.

Evdoridou, Vasiliki; Rippon, Philip and Stallard, Gwyneth (2022). Oscillating simply connected wandering domains. Ergodic Theory and Dynamical Systems, 43(4)

• Download Published Version (PDF / 552kB)

Nicks, Daniel; Rippon, Philip and Stallard, Gwyneth (2021). Eremenko's Conjecture for Functions with Real Zeros: The Role of the Minimum Modulus. International Mathematics Research Notices, 2021(18) pp. 13946–13974.

• Download Accepted Manuscript (PDF / 362kB)

Nicks, Daniel; Rippon, Philip and Stallard, Gwyneth (2021). Iterating the minimum modulus: functions of order half, minimal type. Computational Methods and Function Theory, 21 pp. 653–670.

• Download Published Version (PDF / 349kB)

Nicks, Daniel A.; Rippon, Philip J. and Stallard, Gwyneth M. (2018). Baker's conjecture for functions with real zeros. Proceedings of the London Mathematical Society, 117(1) pp. 100–124.

• Download Accepted Manuscript (PDF / 436kB)

Osborne, John W.; Rippon, Philip J. and Stallard, Gwyneth M. (2019). The iterated minimum modulus and conjectures of Baker and Eremenko. Journal d’Analyse Mathematique, 139(2) pp. 521–558.

• Download Accepted Manuscript (PDF / 488kB)

Osborne, John; Rippon, Philip and Stallard, Gwyneth (2017). Connectedness properties of the set where the iterates of an entire function are unbounded. Ergodic Theory and Dynamical Systems, 37(4) pp. 1291–1307.

• Download Accepted Manuscript (PDF / 356kB)

Rippon, Philip; Stallard, Gwyneth; Evdoridou, Vasiliki; Fagella, Nuria and Benini, Anna Miriam (2022). Classifying simply connected wandering domains. Mathematische Annalen, 383 pp. 1127–1178.

• Download Published Version (PDF / 2MB)

Rippon, Philip J. and Stallard, Gwyneth M. (2021). On Subharmonic and Entire Functions of Small Order: After Kjellberg. International Mathematics Research Notices, 2021(18) pp. 14267–14295.

• Download Published Version (PDF / 281kB)

Rippon, Philip and Stallard, Gwyneth (2019). Eremenko points and the structure of the escaping set. Transactions of the American Mathematical Society, 372(5) pp. 3083–3111.

• Download Accepted Manuscript (PDF / 412kB)

Rippon, P. J. and Stallard, G. M. (2018). Boundaries of univalent Baker domains. Journal d'Analyse Mathematique, 134(2) pp. 801–810.

• Download Accepted Manuscript (PDF / 92kB)

Rippon, P. J. and Stallard, G. M. (2015). Annular itineraries for entire functions. Transactions of the American Mathematical Society, 367(1) pp. 377–399.

Rippon, Philip Jonathan and Stallard, Gwyneth Mary (2014). Regularity and fast escaping points of entire functions. International Mathematics Research Notices, 2014(19) pp. 5203–5229.

• Request a copy from the author This file is not available for public download

Rippon, P. J. and Stallard, G. M. (2013). A sharp growth condition for a fast escaping spider’s web. Advances in Mathematics, 244 pp. 337–353.

• Request a copy from the author This file is not available for public download

Rippon, Philip and Stallard, Gwyneth (2012). Fast escaping points of entire functions. Proceedings of the London Mathematical Society, 105(4) pp. 787–820.

Rippon, Philip and Stallard, Gwyneth (2012). Baker's conjecture and Eremenko's conjecture for functions with negative zeros. Journal d'Analyse Mathematique, 120(1) pp. 291–309.

Rempe, Lasse and Rippon, Philip (2012). Exotic Baker and wandering domains for Ahlfors island maps. Journal d'Analyse Mathematique, 117(1) pp. 297–319.

Rippon, P. J. and Stallard, G. M. (2011). Boundaries of escaping Fatou components. Proceedings of the American Mathematical Society, 139(8) pp. 2807–2820.

Rippon, Philip and Stallard, Gwyneth (2011). Slow escaping points of meromorphic functions. Transactions of the American Mathematical Society, 363(8) pp. 4171–4201.

Rempe, Lasse; Rippon, Philip J. and Stallard, Gwyneth M. (2010). Are Devaney hairs fast escaping? Journal of Difference Equations and Applications, 16(5&6) pp. 739–762.

Rippon, P. J. and Stallard, G. M. (2009). Functions of small growth with no unbounded Fatou components. Journal d’Analyse Mathematique, 108(1) pp. 61–86.

Rippon, P. J. and Stallard, G. M. (2009). Escaping points of entire functions of small growth. Mathematische Zeitschrift, 261(3) pp. 557–570.

Rippon, P. J. and Stallard, G. M. (2008). On multiply connected wandering domains of meromorphic functions. Journal of the London Mathematical Society, 77(2) pp. 405–423.

Rippon, P.J. (2006). Baker domains of meromorphic functions. Ergodic Theory and Dynamical Systems, 26(4) pp. 1225–1233.

Rippon, P.J. and Stallard, G.M. (2006). Dimensions of Julia sets of meromorphic functions with finitely many poles. Ergodic Theory and Dynamical Systems, 26(02) pp. 525–538.

Rippon, P. J. and Stallard, G. M. (2006). Singularities of meromorphic functions with Baker domains. Mathematical Proceedings of the Cambridge Philosophical Society, 141(2) pp. 371–382.

• Download Published Version (PDF / 155kB)

Rippon, P. J. and Stallard, G. M. (2005). Escaping points of meromorphic functions with a finite number of poles. Journal d’Analyse Mathematique, 96 pp. 225–245.

Rippon, P.J. and Stallard, G.M. (2005). Dimensions of Julia sets of meromorphic functions. Journal of the London Mathematical Society, 71(3) pp. 669–683.

Rippon, P.J. and Stallard, G.M. (2005). On questions of Fatou and Eremenko. Proceedings of the American Mathematical Society, 133(4) pp. 1119–1126.

• Download Published Version (PDF / 152kB)

Rippon, Philip (2005). Obituary: Irvine Noel Baker 1932-2001. Bulletin of the London Mathematical Society, 37(2) pp. 301–315.

Rippon, Philip and Taylor, Harold (2004). Even and odd periods in continued fractions of square roots. Fibonacci Quarterly, 42(2) pp. 170–180.