Robert Thijs Kozma

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.