Robert Kozma

List of Publications

Peer 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).
ArXiv, Journal (updated version)

[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 Given

Conference Talks

2017 Discrete Geometry and Convexity BÁRÁNY 70
Rényi Institute of Mathematics, Hungarian Academy of Sciences

Symmetry Festival 2016
TU Wien, Austria

2016 Discrete Geometry Days
Budapest University of Technology and Economics, Hungary

2016 Chicago Area SIAM Student Conference (CASSC)
University of Illinois Chicago, USA

2015 Convex Geometry - Discrete and Computational
Berlin Mathematical School (BMS), Berlin, Germany

2015 Intuitive Geometry, László Fejes Tóth Centennial Conference
Rényi Institute of Mathematics, Hungarian Academy of Sciences

2011 International Joint Conference on Neural Networks (IJCNN)
San Jose, CA

2010 Young Mathematicians Conference
Ohio State University, Columbus OH

 

Seminar Talks


2015 Chaotic dynamics of Perturbed Quadratic Maps
Graduate Geometry, Topology and Dynamics Seminar, UIC

2015 New Density Bounds and Optimal Ball Packings for Hyperbolic Space
Graduate Analysis Seminar, UIC

2014 Limiting Behavior of Julia sets for Perturbed Quadratic Maps
Statistical Physics Seminar, Eötvös University (ELTE), Budapest, Hungary

2014 Limiting Behavior of Julia sets for Perturbed Quadratic Maps
Quantum Optics and Quantum Information Seminar, Wigner Research Center for Physics, Hungarian Academy of Sciences, Budapest, Hungary

2013 Limiting Behavior of Julia sets for Perturbed Quadratic Maps
Budapest – Wien Dynamics Seminar, Budapest University of Technology and Economics, Budapest, Hungary

2013 On the conjectured ball packing density upper bound in hyperbolic 4-space
Department of Geometry Seminar, Budapest University of Technology and Economics, Budapest, Hungary

2012 Julia sets of perturbed quadratic maps converging to filled Julia sets, I
Dynamical Systems Seminar, Chebyshev Laboratory, St. Petersburg State Univer- sity, St. Petersburg, Russia

2012 Julia sets of perturbed quadratic maps converging to filled Julia sets, II
Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Rus- sia

2012 Julia Sets Converging to Filled Quadratic Julia Sets
Mini Course / Dynamics Learning Seminar, Stony Brook University

2012 Limiting Behavior of Julia Sets for Perturbed Quadratic Maps
Graduate Student Seminar, Stony Brook University