2023
Rempe, L. (n.d.). The Eremenko–Lyubich constant. Bulletin of the London Mathematical Society. doi:10.1112/blms.12714DOI: 10.1112/blms.12714
Bergweiler, W., Eremenko, A., & Rempe, L. (n.d.). Second order linear differential equations with a basis of solutions having only real zeros. Journal d'Analyse Mathématique. doi:10.1007/s11854-023-0294-zDOI: 10.1007/s11854-023-0294-z
2022
Geometrically finite transcendental entire functions (Journal article)
Alhamed, M., Rempe, L., & Sixsmith, D. (2022). Geometrically finite transcendental entire functions. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 106(2), 485-527. doi:10.1112/jlms.12516DOI: 10.1112/jlms.12516
2021
Alhamed, M., Rempe, L., & Sixsmith, D. (n.d.). Geometrically finite transcendental entire functions. Retrieved from http://arxiv.org/abs/2003.08884v3
2020
Rempe, L. (n.d.). Singular orbits and Baker domains. Retrieved from http://arxiv.org/abs/2009.07020v1
Benini, A. M., & Rempe, L. (n.d.). A landing theorem for entire functions with bounded post-singular sets. Retrieved from http://arxiv.org/abs/1711.10780v4
Rempe, L. (2022). Singular orbits and Baker domains. MATHEMATISCHE ANNALEN, 382(3-4), 1475-1483. doi:10.1007/s00208-020-02132-zDOI: 10.1007/s00208-020-02132-z
Rempe, L. (2022). ESCAPING SETS ARE NOT SIGMA-COMPACT. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150(1), 171-177. doi:10.1090/proc/15576DOI: 10.1090/proc/15576
Benini, A. M., & Rempe-Gillen, L. (n.d.). A landing theorem for entire functions with bounded post-singular sets. Retrieved from http://arxiv.org/abs/1711.10780v3
Alhamed, M., Rempe, L., & Sixsmith, D. (2020). Geometrically finite transcendental entire functions. Retrieved from http://dx.doi.org/10.1112/jlms.12516
Evdoridou, V., Rempe, L., & Sixsmith, D. J. (2020). Fatou's associates. Arnold Mathematical Journal 6 (2020), 459-493. Retrieved from http://dx.doi.org/10.1007/s40598-020-00148-6DOI: 10.1007/s40598-020-00148-6
2019
Rempe-Gillen, L., & Sixsmith, D. (2019). On Connected Preimages of Simply-Connected Domains Under Entire Functions. Geometric and Functional Analysis, 29(5), 1579-1615. doi:10.1007/s00039-019-00488-2DOI: 10.1007/s00039-019-00488-2
2017
Benini, A. M., & Rempe-Gillen, L. (2020). A landing theorem for entire functions with bounded post-singular sets. Geometric and Functional Analysis, 30(6), 1465-1530. doi:10.1007/s00039-020-00551-3DOI: 10.1007/s00039-020-00551-3
Evdoridou, V., & Rempe-Gillen, L. (2018). Non-escaping endpoints do not explode. Bulletin of the London Mathematical Society, 50(5), 916-932. doi:10.1112/blms.12176DOI: 10.1112/blms.12176
2015
Alhabib, N., & Rempe-Gillen, L. (2017). Escaping Endpoints Explode. COMPUTATIONAL METHODS AND FUNCTION THEORY, 17(1), 65-100. doi:10.1007/s40315-016-0169-8DOI: 10.1007/s40315-016-0169-8
Rempe-Gillen, L., & Urbański, M. (2015). Non-autonomous conformal iterated function systems and Moran-set constructions. Transactions of the American Mathematical Society, 368, 1979-2017. doi:10.1090/tran/6490DOI: 10.1090/tran/6490
Rempe-Gillen, L., & van Strien, S. (2015). Density of hyperbolicity for classes of real transcendental entire functions and circle maps. Duke Mathematical Journal, 164(6), 1079-1137. doi:10.1215/00127094-2885764DOI: 10.1215/00127094-2885764
Rempe-Gillen, L., & Sixsmith, D. (2017). Hyperbolic entire functions and the Eremenko-Lyubich class: Class B or not class B?. Mathematische Zeitschrift, 286, 783-800. doi:10.1007/s00209-016-1784-9DOI: 10.1007/s00209-016-1784-9
2014
Shen, Z., & Rempe-Gillen, L. (2015). The Exponential Map Is Chaotic: An Invitation to Transcendental Dynamics. AMERICAN MATHEMATICAL MONTHLY, 122(10), 919-940. doi:10.4169/amer.math.monthly.122.10.919DOI: 10.4169/amer.math.monthly.122.10.919
Rempe, L. (2014). Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions. Proceedings of the London Mathematical Society, 108(5), 1193-1225. doi:10.1112/plms/pdt048DOI: 10.1112/plms/pdt048
Bergweiler, W., Fagella, N., & Rempe-Gillen, L. (n.d.). Hyperbolic entire functions with bounded Fatou components. Commentarii Mathematici Helvetici, 90(4), 799-823. doi:10.4171/CMH/371DOI: 10.4171/CMH/371
2013
Primality Testing for Beginners (Book)
Rempe-Gillen, L., & Waldecker, R. (2013). Primality Testing for Beginners. American Mathematical Society. doi:10.1090/stml/070DOI: 10.1090/stml/070
Epstein, A., & Rempe-Gillen, L. (2015). ON INVARIANCE OF ORDER AND THE AREA PROPERTY FOR FINITE-TYPE ENTIRE FUNCTIONS. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 40(2), 573-599. doi:10.5186/aasfm.2015.4034DOI: 10.5186/aasfm.2015.4034
2011
Absence of wandering domains for some real entire functions with bounded singular sets (Journal article)
Mihaljevic-Brandt, H., & Rempe-Gillen, L. (2013). Absence of wandering domains for some real entire functions with bounded singular sets. MATHEMATISCHE ANNALEN, 357(4), 1577-1604. doi:10.1007/s00208-013-0936-zDOI: 10.1007/s00208-013-0936-z
Brushing the hairs of transcendental entire functions (Journal article)
Baranski, K., Jarque, X., & Rempe, L. (2012). Brushing the hairs of transcendental entire functions. TOPOLOGY AND ITS APPLICATIONS, 159(8), 2102-2114. doi:10.1016/j.topol.2012.02.004DOI: 10.1016/j.topol.2012.02.004
2010
Rigidity and absence of line fields for meromorphic and Ahlfors islands maps (Journal article)
Mayer, V., & Rempe, L. (2012). Rigidity and absence of line fields for meromorphic and Ahlfors islands maps. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 32, 1691-1710. doi:10.1017/S0143385711000332DOI: 10.1017/S0143385711000332
Exotic baker and wandering domains for Ahlfors islands maps (Journal article)
Rempe, L., & Rippon, P. J. (2012). Exotic baker and wandering domains for Ahlfors islands maps. JOURNAL D ANALYSE MATHEMATIQUE, 117, 297-319. doi:10.1007/s11854-012-0023-5DOI: 10.1007/s11854-012-0023-5
2009
Connected escaping sets of exponential maps (Journal article)
Rempe, L. (2011). CONNECTED ESCAPING SETS OF EXPONENTIAL MAPS. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 36(1), 71-80. doi:10.5186/aasfm.2011.3604DOI: 10.5186/aasfm.2011.3604
Hausdorff dimensions of escaping sets of transcendental entire functions (Journal article)
Rempe, L., & Stallard, G. M. (2010). HAUSDORFF DIMENSIONS OF ESCAPING SETS OF TRANSCENDENTAL ENTIRE FUNCTIONS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 138(5), 1657-1665. Retrieved from https://www.webofscience.com/DOI: 10.1090/s0002-9939-09-10104-1
Rempe, L., Rippon, P. J., & Stallard, G. M. (2009). Are Devaney hairs fast escaping?. J. Difference Equ. Appl., 16 (2010), no. 5-6, 739-762. Retrieved from http://dx.doi.org/10.1080/10236190903282824
Primzahltests für Einsteiger (Book)
Rempe, L., & Waldecker, R. (2009). Primzahltests für Einsteiger. Vieweg+Teubner. doi:10.1007/978-3-8348-9597-4DOI: 10.1007/978-3-8348-9597-4
2008
The escaping set of the exponential (Journal article)
Rempe, L. (2010). The escaping set of the exponential. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 30, 595-599. doi:10.1017/S014338570900008XDOI: 10.1017/S014338570900008X
A note on hyperbolic leaves and wild laminations of rational functions (Journal article)
Kahn, J., Lyubich, M., & Rempe, L. (2010). A note on hyperbolic leaves and wild laminations of rational functions. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 16(5-6), 655-665. doi:10.1080/10236190903257867DOI: 10.1080/10236190903257867
Bifurcation Loci of Exponential Maps and Quadratic Polynomials: Local Connectivity, Triviality of Fibers, and Density of Hyperbolicity (Chapter)
Rempe, L., & Schleicher, D. (2008). Bifurcation Loci of Exponential Maps and Quadratic Polynomials: Local Connectivity, Triviality of Fibers, and Density of Hyperbolicity. In Unknown Book (Vol. 53, pp. 177-+). Retrieved from https://www.webofscience.com/
Absence of line fields and Mañé's theorem for nonrecurrent transcendental functions (Journal article)
Rempe, L., & van Strien, S. (2011). ABSENCE OF LINE FIELDS AND MANE'S THEOREM FOR NONRECURRENT TRANSCENDENTAL FUNCTIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(1), 203-228. doi:10.1090/S0002-9947-2010-05125-6DOI: 10.1090/S0002-9947-2010-05125-6
2007
HYPERBOLIC DIMENSION AND RADIAL JULIA SETS OF TRANSCENDENTAL FUNCTIONS (Journal article)
Rempe, L. (2009). HYPERBOLIC DIMENSION AND RADIAL JULIA SETS OF TRANSCENDENTAL FUNCTIONS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(4), 1411-1420. Retrieved from https://www.webofscience.com/
Dynamic rays of bounded-type entire functions (Journal article)
Rottenfusser, G., Rueckert, J., Rempe, L., & Schleicher, D. (2011). Dynamic rays of bounded-type entire functions. ANNALS OF MATHEMATICS, 173(1), 77-125. doi:10.4007/annals.2011.173.1.3DOI: 10.4007/annals.2011.173.1.3
2006
On a question of Eremenko concerning escaping components of entire functions (Journal article)
Rempe, L. (2007). On a question of Eremenko concerning escaping components of entire functions. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 39, 661-666. doi:10.1112/blms/bdm053DOI: 10.1112/blms/bdm053
Rigidity of escaping dynamics for transcendental entire functions (Journal article)
Rempe, L. (2009). Rigidity of escaping dynamics for transcendental entire functions. ACTA MATHEMATICA, 203(2), 235-267. doi:10.1007/s11511-009-0042-yDOI: 10.1007/s11511-009-0042-y
2005
On nonlanding dynamic rays of exponential maps (Journal article)
Rempe, L. (2007). On nonlanding dynamic rays of exponential maps. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 32(2), 353-369. Retrieved from https://www.webofscience.com/
2004
Siegel disks and periodic rays of entire functions (Journal article)
Rempe, L. (2008). Siegel disks and periodic rays of entire functions. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 624, 81-102. doi:10.1515/CRELLE.2008.081DOI: 10.1515/CRELLE.2008.081
Rempe, L., & Schleicher, D. (2004). Combinatorics of Bifurcations in Exponential Parameter Space. London Mathematical Society Lecture Note Series, 348, 317-370. Retrieved from http://arxiv.org/abs/math/0408011v2
2003
Bifurcations in the space of exponential maps (Journal article)
Rempe, L., & Schleicher, D. (2009). Bifurcations in the space of exponential maps. INVENTIONES MATHEMATICAE, 175(1), 103-135. doi:10.1007/s00222-008-0147-5DOI: 10.1007/s00222-008-0147-5
Classification of escaping exponential maps (Journal article)
Foerster, M., Rempe, L., & Schleicher, D. (2008). Classification of escaping exponential maps. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 136(2), 651-663. Retrieved from https://www.webofscience.com/DOI: 10.1090/s0002-9939-07-09073-9
Topological dynamics of exponential maps on their escaping sets (Journal article)
Rempe, L. (2006). Topological dynamics of exponential maps on their escaping sets. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 26, 1939-1975. doi:10.1017/S0143385706000435DOI: 10.1017/S0143385706000435
On prime ends and local connectivity (Journal article)
Rempe, L. (2008). On prime ends and local connectivity. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 40, 817-826. doi:10.1112/blms/bdn061DOI: 10.1112/blms/bdn061
A landing theorem for periodic rays of exponential maps (Journal article)
Rempe, L. (2006). A landing theorem for periodic rays of exponential maps. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134(9), 2639-2648. doi:10.1090/S0002-9939-06-08287-6DOI: 10.1090/S0002-9939-06-08287-6
On a question of Herman, Baker and Rippon concerning Siegel disks (Journal article)
Rempe, L. (2004). On a question of Herman, Baker and Rippon concerning Siegel disks. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 36, 516-518. doi:10.1112/S0024609304003157DOI: 10.1112/S0024609304003157
