Rempe, Lasse The Eremenko-Lyubich constant. (English) Zbl 1523.30039 Bull. Lond. Math. Soc. 55, No. 1, 113-118 (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 30D15 PDFBibTeX XMLCite \textit{L. Rempe}, Bull. Lond. Math. Soc. 55, No. 1, 113--118 (2023; Zbl 1523.30039) Full Text: DOI arXiv
Rempe, Lasse Points of convergence – music meets mathematics. arXiv:2309.06595 Preprint, arXiv:2309.06595 [math.DS] (2023). MSC: 00A65 37E10 37F10 30D05 BibTeX Cite \textit{L. Rempe}, ``Points of convergence -- music meets mathematics'', Preprint, arXiv:2309.06595 [math.DS] (2023) Full Text: arXiv OA License
Alhamed, Mashael; Rempe, Lasse; Sixsmith, Dave Geometrically finite transcendental entire functions. (English) Zbl 1527.37046 J. Lond. Math. Soc., II. Ser. 106, No. 2, 485-527 (2022). MSC: 37F10 37F20 30D20 30D05 PDFBibTeX XMLCite \textit{M. Alhamed} et al., J. Lond. Math. Soc., II. Ser. 106, No. 2, 485--527 (2022; Zbl 1527.37046) Full Text: DOI arXiv
Rempe, Lasse Singular orbits and Baker domains. (English) Zbl 1500.37036 Math. Ann. 382, No. 3-4, 1475-1483 (2022). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F20 30D05 37F31 PDFBibTeX XMLCite \textit{L. Rempe}, Math. Ann. 382, No. 3--4, 1475--1483 (2022; Zbl 1500.37036) Full Text: DOI arXiv
Rempe, Lasse Escaping sets are not sigma-compact. (English) Zbl 1487.37059 Proc. Am. Math. Soc. 150, No. 1, 171-177 (2022). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 54D45 PDFBibTeX XMLCite \textit{L. Rempe}, Proc. Am. Math. Soc. 150, No. 1, 171--177 (2022; Zbl 1487.37059) Full Text: DOI arXiv
Martí-Pete, David; Rempe, Lasse; Waterman, James Bounded Fatou and Julia components of meromorphic functions. arXiv:2204.11781 Preprint, arXiv:2204.11781 [math.DS] (2022). MSC: 37F10 30D05 37B45 54F15 BibTeX Cite \textit{D. Martí-Pete} et al., ``Bounded Fatou and Julia components of meromorphic functions'', Preprint, arXiv:2204.11781 [math.DS] (2022) Full Text: arXiv OA License
Martí-Pete, David; Rempe, Lasse; Waterman, James Eremenko’s conjecture, wandering Lakes of Wada, and maverick points. arXiv:2108.10256 Preprint, arXiv:2108.10256 [math.DS] (2021). MSC: 37F10 30D05 37B45 54F15 BibTeX Cite \textit{D. Martí-Pete} et al., ``Eremenko's conjecture, wandering Lakes of Wada, and maverick points'', Preprint, arXiv:2108.10256 [math.DS] (2021) Full Text: arXiv OA License
Benitez, Tania Gricel; Rempe, Lasse A bouquet of pseudo-arcs. arXiv:2105.10391 Preprint, arXiv:2105.10391 [math.DS] (2021). MSC: 37F10 30D05 37B45 54F15 BibTeX Cite \textit{T. G. Benitez} and \textit{L. Rempe}, ``A bouquet of pseudo-arcs'', Preprint, arXiv:2105.10391 [math.DS] (2021) Full Text: arXiv OA License
Bishop, Christopher J.; Rempe, Lasse Non-compact Riemann surfaces are equilaterally triangulable. arXiv:2103.16702 Preprint, arXiv:2103.16702 [math.CV] (2021). MSC: 30F20 14H57 30D05 30F60 32G15 37F10 37F30 BibTeX Cite \textit{C. J. Bishop} and \textit{L. Rempe}, ``Non-compact Riemann surfaces are equilaterally triangulable'', Preprint, arXiv:2103.16702 [math.CV] (2021) Full Text: arXiv OA License
Evdoridou, Vasiliki; Rempe, Lasse; Sixsmith, David J. Fatou’s associates. (English) Zbl 1489.37059 Arnold Math. J. 6, No. 3-4, 459-493 (2020). Reviewer: Weiwei Cui (Lund) MSC: 37F10 30D05 30J05 30J10 PDFBibTeX XMLCite \textit{V. Evdoridou} et al., Arnold Math. J. 6, No. 3--4, 459--493 (2020; Zbl 1489.37059) Full Text: DOI arXiv
Benini, Anna Miriam; Rempe, Lasse A landing theorem for entire functions with bounded post-singular sets. (English) Zbl 1461.37047 Geom. Funct. Anal. 30, No. 6, 1465-1530 (2020). MSC: 37F20 37F10 37F12 30D05 PDFBibTeX XMLCite \textit{A. M. Benini} and \textit{L. Rempe}, Geom. Funct. Anal. 30, No. 6, 1465--1530 (2020; Zbl 1461.37047) Full Text: DOI arXiv
Evdoridou, Vasiliki; Rempe-Gillen, Lasse Non-escaping endpoints do not explode. (English) Zbl 1411.37046 Bull. Lond. Math. Soc. 50, No. 5, 916-932 (2018). Reviewer: Tao Chen (Long Island City) MSC: 37F10 30D05 37F50 37C45 PDFBibTeX XMLCite \textit{V. Evdoridou} and \textit{L. Rempe-Gillen}, Bull. Lond. Math. Soc. 50, No. 5, 916--932 (2018; Zbl 1411.37046) Full Text: DOI arXiv
Rempe-Gillen, Lasse; Sixsmith, Dave Hyperbolic entire functions and the Eremenko-Lyubich class: Class \(\mathcal {B}\) or not class \(\mathcal {B}\)? (English) Zbl 1392.37039 Math. Z. 286, No. 3-4, 783-800 (2017). Reviewer: Alan A. Sola (Stockholm) MSC: 37F10 30D05 37F15 PDFBibTeX XMLCite \textit{L. Rempe-Gillen} and \textit{D. Sixsmith}, Math. Z. 286, No. 3--4, 783--800 (2017; Zbl 1392.37039) Full Text: DOI arXiv
Alhabib, Nada; Rempe-Gillen, Lasse Escaping endpoints explode. (English) Zbl 1381.37051 Comput. Methods Funct. Theory 17, No. 1, 65-100 (2017). Reviewer: Alan A. Sola (Stockholm) MSC: 37F10 30D05 54F15 54G15 PDFBibTeX XMLCite \textit{N. Alhabib} and \textit{L. Rempe-Gillen}, Comput. Methods Funct. Theory 17, No. 1, 65--100 (2017; Zbl 1381.37051) Full Text: DOI arXiv Backlinks: MO
Rempe-Gillen, Lasse Arc-like continua, Julia sets of entire functions, and Eremenko’s Conjecture. arXiv:1610.06278 Preprint, arXiv:1610.06278 [math.DS] (2016). MSC: 37F10 30D05 37B45 54F15 54H20 BibTeX Cite \textit{L. Rempe-Gillen}, ``Arc-like continua, Julia sets of entire functions, and Eremenko's Conjecture'', Preprint, arXiv:1610.06278 [math.DS] (2016) Full Text: arXiv OA License
Shen, Zhaiming; Rempe-Gillen, Lasse The exponential map is chaotic: an invitation to transcendental dynamics. (English) Zbl 1361.37002 Am. Math. Mon. 122, No. 10, 919-940 (2015). MSC: 37-01 37F10 30D05 37D45 PDFBibTeX XMLCite \textit{Z. Shen} and \textit{L. Rempe-Gillen}, Am. Math. Mon. 122, No. 10, 919--940 (2015; Zbl 1361.37002) Full Text: DOI arXiv Backlinks: MO
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse Hyperbolic entire functions with bounded Fatou components. (English) Zbl 1338.37056 Comment. Math. Helv. 90, No. 4, 799-829 (2015). Reviewer: Tao Chen (Long Island City) MSC: 37F10 30D05 37F15 PDFBibTeX XMLCite \textit{W. Bergweiler} et al., Comment. Math. Helv. 90, No. 4, 799--829 (2015; Zbl 1338.37056) Full Text: DOI arXiv
Rempe-Gillen, Lasse; van Strien, Sebastian Density of hyperbolicity for classes of real transcendental entire functions and circle maps. (English) Zbl 1332.37034 Duke Math. J. 164, No. 6, 1079-1137 (2015). Reviewer: Tao Chen (Long Island City) MSC: 37F10 30D05 37E05 37E10 37F15 PDFBibTeX XMLCite \textit{L. Rempe-Gillen} and \textit{S. van Strien}, Duke Math. J. 164, No. 6, 1079--1137 (2015; Zbl 1332.37034) Full Text: DOI arXiv Euclid
Rempe-Gillen, Lasse Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions. (English) Zbl 1295.30060 Proc. Lond. Math. Soc. (3) 108, No. 5, 1193-1225 (2014). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{L. Rempe-Gillen}, Proc. Lond. Math. Soc. (3) 108, No. 5, 1193--1225 (2014; Zbl 1295.30060) Full Text: DOI arXiv
Mihaljević-Brandt, Helena; Rempe-Gillen, Lasse Absence of wandering domains for some real entire functions with bounded singular sets. (English) Zbl 1291.37064 Math. Ann. 357, No. 4, 1577-1604 (2013). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 30D05 30F45 PDFBibTeX XMLCite \textit{H. Mihaljević-Brandt} and \textit{L. Rempe-Gillen}, Math. Ann. 357, No. 4, 1577--1604 (2013; Zbl 1291.37064) Full Text: DOI arXiv
Rempe, Lasse; Rippon, Philip J. Exotic Baker and wandering domains for Ahlfors islands maps. (English) Zbl 1285.37013 J. Anal. Math. 117, 297-319 (2012). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe} and \textit{P. J. Rippon}, J. Anal. Math. 117, 297--319 (2012; Zbl 1285.37013) Full Text: DOI arXiv
Barański, Krzysztof; Jarque, Xavier; Rempe, Lasse Brushing the hairs of transcendental entire functions. (English) Zbl 1267.37041 Topology Appl. 159, No. 8, 2102-2114 (2012). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 54F15 54H20 PDFBibTeX XMLCite \textit{K. Barański} et al., Topology Appl. 159, No. 8, 2102--2114 (2012; Zbl 1267.37041) Full Text: DOI arXiv
Rottenfusser, Günter; Rückert, Johannes; Rempe, Lasse; Schleicher, Dierk Dynamic rays of bounded-type entire functions. (English) Zbl 1232.37025 Ann. Math. (2) 173, No. 1, 77-125 (2011). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{G. Rottenfusser} et al., Ann. Math. (2) 173, No. 1, 77--125 (2011; Zbl 1232.37025) Full Text: DOI arXiv
Rempe, Lasse Connected escaping sets of exponential maps. (English) Zbl 1291.37070 Ann. Acad. Sci. Fenn., Math. 36, No. 1, 71-80 (2011). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Ann. Acad. Sci. Fenn., Math. 36, No. 1, 71--80 (2011; Zbl 1291.37070) Full Text: DOI arXiv
Rempe, Lasse; van Strien, Sebastian Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions. (English) Zbl 1230.37056 Trans. Am. Math. Soc. 363, No. 1, 203-228 (2011). Reviewer: Alvaro Bustinduy (Madrid) MSC: 37F10 30D05 37D25 37F15 37F35 PDFBibTeX XMLCite \textit{L. Rempe} and \textit{S. van Strien}, Trans. Am. Math. Soc. 363, No. 1, 203--228 (2011; Zbl 1230.37056) Full Text: DOI arXiv
Rempe, Lasse; Rippon, Philip J.; Stallard, Gwyneth M. Are Devaney hairs fast escaping? (English) Zbl 1201.30027 J. Difference Equ. Appl. 16, No. 5-6, 739-762 (2010). Reviewer: Peter Lappan (East Lansing) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{L. Rempe} et al., J. Difference Equ. Appl. 16, No. 5--6, 739--762 (2010; Zbl 1201.30027) Full Text: DOI arXiv
Rempe, Lasse; Stallard, Gwyneth M. Hausdorff dimensions of escaping sets of transcendental entire functions. (English) Zbl 1201.37075 Proc. Am. Math. Soc. 138, No. 5, 1657-1665 (2010). Reviewer: Ion Mihai (Bucureşti) MSC: 37F10 37F35 30D05 PDFBibTeX XMLCite \textit{L. Rempe} and \textit{G. M. Stallard}, Proc. Am. Math. Soc. 138, No. 5, 1657--1665 (2010; Zbl 1201.37075) Full Text: DOI arXiv
Rempe, Lasse The escaping set of the exponential. (English) Zbl 1185.37108 Ergodic Theory Dyn. Syst. 30, No. 2, 595-599 (2010). MSC: 37F10 30D05 37F45 PDFBibTeX XMLCite \textit{L. Rempe}, Ergodic Theory Dyn. Syst. 30, No. 2, 595--599 (2010; Zbl 1185.37108) Full Text: DOI arXiv
Rempe, Lasse Rigidity of escaping dynamics for transcendental entire functions. (English) Zbl 1226.37027 Acta Math. 203, No. 2, 235-267 (2009). Reviewer: Liangwen Liao (Nanjing) MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Acta Math. 203, No. 2, 235--267 (2009; Zbl 1226.37027) Full Text: DOI arXiv
Rempe, Lasse Hyperbolic dimension and radial Julia sets of transcendental functions. (English) Zbl 1214.37036 Proc. Am. Math. Soc. 137, No. 4, 1411-1420 (2009). MSC: 37F35 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Proc. Am. Math. Soc. 137, No. 4, 1411--1420 (2009; Zbl 1214.37036) Full Text: DOI arXiv
Rempe, Lasse; Schleicher, Dierk Bifurcations in the space of exponential maps. (English) Zbl 1165.37014 Invent. Math. 175, No. 1, 103-135 (2009). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F10 30D05 37F45 PDFBibTeX XMLCite \textit{L. Rempe} and \textit{D. Schleicher}, Invent. Math. 175, No. 1, 103--135 (2009; Zbl 1165.37014) Full Text: DOI arXiv
Rempe, Lasse Siegel disks and periodic rays of entire functions. (English) Zbl 1162.30017 J. Reine Angew. Math. 624, 81-102 (2008). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{L. Rempe}, J. Reine Angew. Math. 624, 81--102 (2008; Zbl 1162.30017) Full Text: DOI arXiv
Rempe, Lasse; Schleicher, Dierk Bifurcation loci of exponential maps and quadratic polynomials: Local connectivity, triviality of fibers, and density of hyperbolicity. (English) Zbl 1154.37352 Lyubich, Mikhail (ed.) et al., Holomorphic dynamics and renormalization. A volume in honour of John Milnor’s 75th birthday. Proceedings of the workshop on holomorphic dynamics, Toronto, Canada, March 7–11, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4275-1/hbk). Fields Institute Communications 53, 177-196 (2008). MSC: 37F45 37F20 30D05 37F10 PDFBibTeX XMLCite \textit{L. Rempe} and \textit{D. Schleicher}, Fields Inst. Commun. 53, 177--196 (2008; Zbl 1154.37352) Full Text: arXiv
Rempe, Lasse; Schleicher, Dierk Combinatorics of bifurcations in exponential parameter space. (English) Zbl 1178.37043 Rippon, Philip J. (ed.) et al., Transcendental dynamics and complex analysis. In honour of Noel Baker. Cambridge: Cambridge University Press (ISBN 978-0-521-68372-2/pbk). London Mathematical Society Lecture Note Series 348, 317-370 (2008). Reviewer: Mike Hurley (Cleveland) MSC: 37F10 30D05 37F20 PDFBibTeX XMLCite \textit{L. Rempe} and \textit{D. Schleicher}, Lond. Math. Soc. Lect. Note Ser. 348, 317--370 (2008; Zbl 1178.37043) Full Text: arXiv
Förster, Markus; Rempe, Lasse; Schleicher, Dierk Classification of escaping exponential maps. (English) Zbl 1134.37019 Proc. Am. Math. Soc. 136, No. 2, 651-663 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{M. Förster} et al., Proc. Am. Math. Soc. 136, No. 2, 651--663 (2008; Zbl 1134.37019) Full Text: DOI arXiv
Rempe, Lasse On a question of Eremenko concerning escaping components of entire functions. (English) Zbl 1120.37028 Bull. Lond. Math. Soc. 39, No. 4, 661-666 (2007). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Bull. Lond. Math. Soc. 39, No. 4, 661--666 (2007; Zbl 1120.37028) Full Text: DOI arXiv
Rempe, Lasse On nonlanding dynamic rays of exponential maps. (English) Zbl 1116.37033 Ann. Acad. Sci. Fenn., Math. 32, No. 2, 353-369 (2007). MSC: 37F10 30D05 54F15 PDFBibTeX XMLCite \textit{L. Rempe}, Ann. Acad. Sci. Fenn., Math. 32, No. 2, 353--369 (2007; Zbl 1116.37033) Full Text: arXiv
Rempe, Lasse Topological dynamics of exponential maps on their escaping sets. (English) Zbl 1138.37025 Ergodic Theory Dyn. Syst. 26, No. 6, 1939-1975 (2006). Reviewer: Christophe Dupont (Orsay) MSC: 37F10 37F45 37F50 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Ergodic Theory Dyn. Syst. 26, No. 6, 1939--1975 (2006; Zbl 1138.37025) Full Text: DOI arXiv
Rempe, Lasse A landing theorem for periodic rays of exponential maps. (English) Zbl 1099.37040 Proc. Am. Math. Soc. 134, No. 9, 2639-2648 (2006). Reviewer: Pei-Chu Hu (Jinan) MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Proc. Am. Math. Soc. 134, No. 9, 2639--2648 (2006; Zbl 1099.37040) Full Text: DOI arXiv
Rempe, Lasse On a question of Herman, Baker and Rippon concerning Siegel disks. (English) Zbl 1073.37055 Bull. Lond. Math. Soc. 36, No. 4, 516-518 (2004). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Rempe}, Bull. Lond. Math. Soc. 36, No. 4, 516--518 (2004; Zbl 1073.37055) Full Text: DOI arXiv