Robert Kozma | |||||
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List of PublicationsPeer Reviewed Journal Articles[1] Kozma R. T., Szirmai J. New Horoball Packing Density Lower Bound in Hyperbolic 5-space, Geometriae Dedicata 206, 1-25 (2020). [2] Kozma R. T., Szirmai J. New Lower Bound for the Optimal Ball Packing Density in Hyperbolic 4-space, Journal of Discrete and Computational Geometry, Volume 53, Issue 1, pp 182-198 (2015). doi:10.1007/s00454-014-9634-1 ArXiv, Journal [3] Kozma, R. T., Devaney, R. L. Julia Sets Converging to Filled Quadratic Julia Sets, Journal of Ergodic Theory and Dynamical Systems, Volume 34, Issue 01, pp. 171-184 (2014). PDF, Journal [4] Kozma, R. T., Szirmai J. Optimally Dense Packings for Fully Asymptotic Coxeter Tilings by Horoballs of Different Types, Monatshefte für Mathematik, Volume 168, Issue 1, pp. 27-47 (2012) ArXiv, Journal [5] Kozma, R. T. Julia Sets of Perturbed Quadratic Maps Converging to the Filled Basilica, Pi Mu Epsilon Journal, Issue 13:5, pp. 281-288 (2011) Journal Book Chapters[6] Versace,M., Kozma, R.T., Wunsch, D., Adaptive Resonance Theory design in mixed memristive-fuzzy hardware, Advances in Neuromorphic Memristor Science and Applications, Springer-Verlag (2012) Chapter Proceedings[7] Kozma, R.T., Dense regular horoball packings in higher dimensional hyperbolic spaces, Discrete Geometry and Convexity in honour of Imre Bárány, Eds. Ambrus G., Böröczky K.J., Füredi Z., pp. 143-144, Budapest, Hungary (2017). ISBN 978-963-279-963-6 [8] Kozma R.T., Szirmai J. Symmetries of Horoball Packings Related to Famous 3-dimensional Hyperbolic Tilings, Symmetry: Culture and Science, Volume 27, No. 4, pp 261-278 (2016). [9] Hayashi, I., Tsuruse, S., Suzuki, J., Kozma, R.T., A Proposal for Applying pdi- Boosting to Brain-Computer Interfaces, World Congress on Computational Intelligence (WCCI) / FUZZ-IEEE 2012, Brisbane, Australia (2012). doi:10.1109/FUZZ- IEEE.2012.6251152 Preprints[10] Kozma, R. T., Szirmai J., Structure and Visualization of Optimal Horoball Packings (Preprint). ArXiv [11] Kozma, R. T., Szirmai J., Horoball Packing Density Lower Bounds in Higher Dimensional Hyperbolic n-space for n = 6...9 (Preprint). ArXiv [12] Furman A., Kozma R.T., Central Limit Theorem for Cocyles over Hyperbolic Systems (Preprint). ArXiv Theses[13] Ph.D. Thesis: Central Limit Theorems and Packing Problems in Dynamics and Geometry (2021). Advisor: Alex Furman. [14] Undergraduate Thesis: Julia Sets of Perturbed Quadratic Maps Converging to the Filled Basilica. Advisor: Robert Devaney. Talks GivenConference Talks2017 Discrete Geometry and Convexity
BÁRÁNY 70 Symmetry Festival 2016 2016 Discrete Geometry Days 2016 Chicago Area SIAM Student Conference (CASSC) 2015 Convex Geometry - Discrete and Computational 2015 Intuitive Geometry, László Fejes Tóth Centennial Conference 2011 International Joint Conference on Neural Networks (IJCNN) 2010 Young Mathematicians Conference
Seminar Talks
2015 New Density Bounds and Optimal Ball Packings for Hyperbolic Space 2014 Limiting Behavior of Julia sets for Perturbed Quadratic Maps 2014 Limiting Behavior of Julia sets for Perturbed Quadratic Maps 2013 Limiting Behavior of Julia sets for Perturbed Quadratic Maps 2013 On the conjectured ball packing density upper bound in hyperbolic 4-space 2012 Julia sets of perturbed quadratic maps converging to filled Julia sets, I 2012 Julia sets of perturbed quadratic maps converging to filled Julia sets, II 2012 Julia Sets Converging to Filled Quadratic Julia Sets 2012 Limiting Behavior of Julia Sets for Perturbed Quadratic Maps
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