Research


The subject of my thesis is focused on numeration systems and fractal structures arising from them.
In particular I'm dealing with beta-numeration and with a very interesting class of combinatorial objects, Pisot substitutions.
In this settings, many different branches of mathematics join up together, such as dynamical systems, algebraic number theory, combinatorics, numeration systems, fractal geometry and ergodic theory.





Publications:


  1. The geometry of non-unit Pisot substitutions, with J. Thuswaldner, to appear in Ann. Inst. Fourier 64 (2014). arXiv

  2. Tilings for Pisot beta-numeration, with W. Steiner, to appear in Indagationes Mathematicae (2014). DOI, arXiv
                 
  3. Dynamics of reducible Pisot substitutions, in preparation.

Some talks and posters:



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