Henk Don

Assistant Professor.
Curriculum vitae

Applied Stochastics Group,
Institute for Mathematics, Astrophysics and Particle Physics (IMAPP),
Radboud University Nijmegen.

Research interests

I mainly work in probability. Research interest include random fractals, random graphs, percolation theory, branching processes and probabilistic combinatorics. Some topics outside probability theory that I find intriguing: the Cerny conjecture and the Kolakoski sequence.

Publications

• PhD thesis

  H. Don -- Reflecting walls and dissipating tiles, PhD thesis TU Delft, 2013.

• Published papers

  1. H. Don -- On the distribution of the distances of multiples of an irrational number to the nearest integer, Acta Arithmetica 139, 253-264, 2009.
  
  
  2. F.M. Dekking, H. Don -- Correlated fractal percolation and the Palis conjecture, Journal of Statistical Physics. 139, no. 2, 307-325, 2010.
  
  
  3. H. Don -- Polygons in billiard orbits, Journal of Number Theory 132, no. 6, 1151-1163, 2012.
  
  
  4. H. Don -- New methods to bound the critical probability in fractal percolation, Random Structures and Algorithms, Vol. 47, Issue 4, 710-730, 2015.
  
  
  5. H. Don -- The Cerny conjecture and 1-contracting automata, The Electronic Journal of Combinatorics, Vol. 23, Issue 3, P3.12, 2016.
  
  
  6. E.A. Cator, H. Don -- Constructing conditioned multi-type Galton-Watson trees, ESAIM: Probability and Statistics 20, 400-416, 2016.
  
  
  7. H. Don, H. Zantema -- Finding DFAs with maximal shortest synchronizing word length, In: Drewes F., Martin-Vide C., Truthe B. (eds), Language and Automata Theory and Applications. LATA 2017. Lecture Notes in Computer Science, vol. 10168. Springer, Cham, 2017.
  
  
  8. E.A. Cator, H. Don -- Self-averaging sequences which fail to converge, Electron. Commun. Probab. Volume 22, paper no. 16, 12 pp, 2017.
  
  
  9. M. de Bondt, H. Don, H. Zantema -- DFAs and PFAs with long shortest synchronizing word length, to appear in proceedings of Developments in Language Theory, 2017.
  
  

• Preprints

  1. E.A. Cator, H. Don and P. Van Mieghem -- Non-negative matrix factorization for heterogeneous SIS epidemics in large networks, arXiv:1609.07636, 2016.
  
  
  2. H. Don, H. Zantema -- Synchronizing non-deterministic finite automata, arXiv:1703.07618, 2017.
  
  
  3. H. Don, H. Zantema, M. de Bondt -- Slowly synchronizing automata with fixed alphabet size, arXiv:1703.07995, 2017.