Dr Sabrina Kombrink PhD

Dr. Sabrina Kombrink

School of Mathematics
Lecturer

Contact details

Address
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Sabrina Kombrink is a lecturer of Mathematics and a member of the Topology and Dynamics Research Group. She is interested in geometrically characterising highly irregular objects as well as in the question which geometric features one can hear when listening to the sound of a fractal drum. Her research lies in the interim of analysis, geometry and stochastics.

Qualifications

  • Dr. rer. nat. (PhD) in Mathematics, University of Bremen, Germany
  • Dipl. Math. (MSc) in Mathematics and Business, Georg-August-University, Goettingen, Germany

Biography

Sabrina studied at Georg-August-University Goettingen (Germany) and the University of Warwick (UK). She received her PhD (Dr.rer.nat.) from the University of Bremen (Germany) for which she was awarded the ‘Bremer Studienpreis’.

Sabrina held post-doc positions at the University of Bremen (Germany), the University of Luebeck (Germany) and Institut Mittag-Leffler (Sweden). Before joining the University of Birmingham she was a temporary professor of Mathematics at Georg-August-University Goettingen (Germany).

Publications

Recent publications

Article

Kombrink, S & Winter, S 2020, 'Lattice self-similar sets on the real line are not Minkowski measurable', Ergodic Theory and Dynamical Systems, vol. 40, no. 1, pp. 221-232. https://doi.org/10.1017/etds.2018.26

Kombrink, S & Samuel, T 2019, 'Fractal geometry and dynamics', London Mathematical Society, Newsletter, vol. 481, pp. 24-29. https://doi.org/10.1112/NLMS

Faehnrich, A, Klein, S, Serge, A, Nyhoegen, C, Kombrink, S, Moeller, S, Keller, K, Westermann, J & Kalies, K 2018, 'CD154 costimulation shifts the local T cell receptor repertoire not only during thymic selection but also during peripheral T-dependent humoral immune responses', Frontiers in immunology, vol. 9, 1019. https://doi.org/10.3389/fimmu.2018.01019

Kombrink, S 2018, 'Renewal theorems for processes with dependent interarrival times', Advances in Applied Probability, vol. 50, no. 4, pp. 1193-1216. https://doi.org/10.1017/apr.2018.56

Kesseboehmer, M & Kombrink, S 2017, 'A complex Ruelle-Perron-Frobenius theorem for infinite Markov shifts with applications to renewal theory', Discrete and Continuous Dynamical Systems - Series S, vol. 10, no. 2, pp. 335-352. https://doi.org/10.3934/dcdss.2017016

Kombrink, S, Pearse, E & Winter, S 2016, 'Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable', Mathematische Zeitschrift, vol. 283, no. 3-4, pp. 1049-1070. https://doi.org/10.1007/s00209-016-1633-x

Kesseböhmer, M & Kombrink, S 2015, 'Minkowski content and fractal Euler characteristic for conformal graph directed systems', Journal of Fractal Geometry, vol. 2, no. 2, pp. 171-227. https://doi.org/10.4171/JFG/19

Kesseböhmer, M & Kombrink, S 2012, 'Fractal curvature measures and Minkowski content for self-conformal subsets of the real line', Advances in Mathematics, vol. 230, no. 4-6, pp. 2474-2512. https://doi.org/10.1016/j.aim.2012.04.023

Freiberg, U & Kombrink, S 2012, 'Minkowski content and local Minkowski content for a class of self-conformal sets', Geometriae Dedicata, vol. 159, no. 1, pp. 307-325. https://doi.org/10.1007/s10711-011-9661-5

Chapter (peer-reviewed)

Kombrink, S 2021, Renewal Theorems and Their Application in Fractal Geometry. in U Freiberg, B Hambly, M Hinz & S Winter (eds), Fractal Geometry and Stochastics VI. 1 edn, vol. 76, Progress in Probability, vol. 76, Birkhauser Verlag Basel, pp. 71-98. https://doi.org/10.1007/978-3-030-59649-1_4

Editorial

Kesseböhmer, M, Kombrink, S, Pesin, Y, Samuel, T & Schmeling, J 2021, 'Preface: Thermodynamic formalism: applications to geometry, number theory and stochastics', Stochastics and Dynamics, vol. 21, no. 3, 2102001. https://doi.org/10.1142/S0219493721020019

Other contribution

Kesseböhmer, M & Kombrink, S 2017, Minkowski measurability of infinite conformal graph directed systems and application to apollonian packings..

Kombrink, S 2013, A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in ℝ^{d}. American Mathematical Society, Contemp. Math. https://doi.org/10.1090/conm/600/11931

Special issue

Kesseböhmer, M, Kombrink, S, Pesin, Y, Samuel, T & Schmeling, J (eds) 2021, 'Special Issue in Honor of the 75th Birthday of Prof. Manfred Denker', Stochastics and Dynamics, vol. 21, no. 3. <https://www.worldscientific.com/toc/sd/21/03>

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