Robert Niemeyer
Publications \& Preprints
- Towards the Koch snowflake fractal billiard--Computer experiments and mathematical conjectures (with M. L. Lapidus), in "Gems in Experimental Mathematics", T. Amdeberhan, L. A. Medina and V. H. Moll (Eds.), Contemporary Mathematics, Amer. Math. Soc., Providence, R. I., 517 (2010), 231-263. [E-print: arXiv:math.DS:0912.3948v1, 2009.]
- Families of periodic orbits of the Koch snowflake billiard (with M. L. Lapidus), preprint (2011), 63 typed pages. [E-print: arXiv:math.DS:1105.0737v1, 2011.]
- Sequences of compatible periodic hybrid orbits of prefractal Koch snowflake billiards (with M. L. Lapidus), preprint (2012), 21 typed pages. [E-print: arXiv:math.DS:1204.3133v1, 2012.]
Papers in preparation
- Periodic billiard orbits of self-similar Sierpinski carpets (with J. P. Chen), 2012.
Papers in progress
- The Veech groups of the prefractal billiards (with M. L. Lapidus), 2012.
- Experimental evidence in support of a fractal law of reflection (with M. L. Lapidus), 2012.
- Requiescat in Pace? Not so fast: how graph theory and fractal geometry can overcome the deep and longstanding critiques of World-Systems Theory (with R. E. Niemeyer), 2012.
- On the Applications of Graph Theory to Emile Durkheim's Division of Labor and The Elementary Forms of Religions Life (with R.E. Niemeyer), 2012.
- An invitation to fractal geometry: Dimension theory, zeta functions, and applications. (with M. L. Lapidus and J. A. Rock), a textbook in progress, 2012.