Biography

Dr. Sabrina Kombrink, Assistant Professor of Mathematics, Senior Tutor (J-BJI).

Contact details

邮件：s.kombrink@bham.ac.uk 

Qualifications

Dr. rer. nat. (PhD) in Mathematics, University of Bremen, Germany

Dipl. Math. (MSc) in Mathematics and Business, Georg-August-University, Göttingen, Germany

Research

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.

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>