Publications
Computational Neuroscience
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
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
Dynamical Systems
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
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
Furman A., Kozma R.T. Central Limit Theorem for Cocycles over Hyperbolic Systems (Preprint). ArXiv
Packing Problems
Kozma, R. T., Szirmai J. Horoball Packing Density Lower Bounds in Higher Dimensional Hyperbolic n-space for n = 6...9, Geometriae Dedicata 217, 1-35 (2023). ArXiv, Journal
Kozma R. T., Szirmai J. New Horoball Packing Density Lower Bound in Hyperbolic 5-space, Geometriae Dedicata 206, 1-25 (2020). ArXiv, Journal
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
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).
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). ArXiv, Journal
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
Kozma, R. T., Szirmai J. Optimal Horoball Packing Densities for Koszul-type tilings in Hyperbolic 3-space, Acta Mathematica Hungarica (To appear). ArXiv
Kozma, R. T., Szirmai J. Structure and Visualization of Optimal Horoball Packings (Preprint). ArXiv
Theses
Ph.D. Thesis: Central Limit Theorems and Packing Problems in Dynamics and Geometry (2021). Advisor: Alex Furman.
Undergraduate Thesis: Julia Sets of Perturbed Quadratic Maps Converging to the Filled Basilica. Advisor: Robert Devaney.
Also see my Google Scholar profile or CV.