Home-page of Cor Kraaikamp

 

Publications

 1. Kraaikamp, C. --- The distribution of some sequences connected with the nearest integer continued fraction, Indag. Math. 49 (1987), (2), 177--191.

 2. Jager, H.; Kraaikamp, C. --- On the approximation by continued fractions, Indag. Math. 51 (1989) (3), 289--307.

 3. Kraaikamp, C. --- Statistic and ergodic properties of Minkowski's diagonal continued fraction, Theoret. Comput. Sci. 65 (1989) (2), 197--212.

 3. Bosma, W. and Kraaikamp, C. --- Metrical theory for optimal continued fractions, J. Number Theory 34 (1990) (3), 251--270.

 4. Kraaikamp, C. --- On the approximation by continued fractions, II, Indag. Math. (N.S.) 1 (1990) (1), 63--75.

 5. Kraaikamp, C. --- A new class of continued fraction expansions, Acta Arith. 57 (1991) (1), 1--39.

 6. Kraaikamp, C. and Liardet, P. --- Good approximations and continued fractions, Proc. Amer. Math. Soc. 112 (1991) (2), 303--309.

 7. Bosma, W. and Kraaikamp, C. --- Optimal approximation by continued fractions, J. Austral. Math. Soc. Ser. A 50 (1991) (3), 481--504.

 8. Kraaikamp, C. --- Maximal S-expansions are Bernoulli shifts, Bull. Soc. Math. France 121 (1993) (1), 117--131.

 9. Kraaikamp, C. --- On symmetric and asymmetric Diophantine approximation by continued fractions, J. Number Theory 46 (1994) (2), 137--157.

10. Dajani, K. and Kraaikamp, C. --- Generalization of a theorem of Kusmin, Monatsh. Math. 118 (1994) (1-2), 55--73.

11. Kraaikamp, C. and Meester, R. --- Ergodic properties of a dynamical system arising from percolation theory, Ergodic Th. Dynam. Systems 15 (1995) (4), 653--661.

12. Barrionuevo, J., Burton, R.M., Dajani, K. and Kraaikamp, C. --- Ergodic properties of generalized Luroth series, Acta Arith. 74 (1996) (4), 311--327.

13. Kraaikamp, C. and Lopes, A. --- The theta group and the continued fraction expansion with even partial quotients, Geom. Dedicata 59 (1996) (3), 293--333.

14. Dajani, K., Kraaikamp, C. and Solomyak, B. --- The natural extension of the beta-transformation, Acta Math. Hungar. 73 (1996) (1-2), 97--109.

15. Dajani, K. and Kraaikamp, C. --- On approximation by Luroth Series, J. Th. des Nombres Bordeaux 8 (1996), 331-346.

16. Kraaikamp, C. and Meester, R. --- Convergence of continued fraction type algorithms and generators, Monatsh. Math. 125 (1998), 1-14.

17. Dajani, K. and Kraaikamp, C. --- A note on the approximation by continued fractions under an extra condition, New York J. Math. 3A (1997/98), 69-80.

18. Dajani, K. and Kraaikamp, C. --- A Gauss-Kusmin Theorem for Optimal Continued Fractions, Trans. Amer. Math. Soc. 351 (1999), no. 5, 2055--2079.

19. Dekking, F.M., Kraaikamp, C. and Schouten, J.G. --- Binary images and inhomogeneous tree-indexed Markov chains, Revue Roumaine Math. Pures Appl. 44 (1999), no.2, 181-188.

20. Burton, R.M., Kraaikamp, C. and Schmidt, T.A. --- Natural extensions for the Rosen fractions, Trans. Amer. Math. Soc. 352 (2000), no. 3, 1277--1298.

21. Hartono, Y. and Kraaikamp, C. --- On a relationship between the convergents of the Nearest Integer and Odd Continued Fractions, J. Indonesian Math. Soc. 6 (5), (2000),
131-137.

22. Dajani, K. and Kraaikamp, C. --- `The mother of all continued fractions'. Colloquium Math. 84/85 (2000), 109-123.

23. Kraaikamp, C. and Nakada, H. --- On normal numbers for continued fractions, Ergodic Theory Dynam. Systems 20 (2000), no. 5, 1405--1421.

24.  Kraaikamp, C. and Nakada, H. --- On a problem of Schweiger concerning normal numbers. J. Number Theory 86 (2001), no. 2, 330--340.

25. Dekking, F.M., Kraaikamp, C., Elfeki, A.E. and Bruining, J. --- Multi-scale and multi-resolution stochastic modeling of subsurface heterogeneity by tree-indexed Markov Chains, Computational Geosciences 5 (2001), 47-60.

26. Elfeki, A.E., Dekking, F.M., Bruining, J. and Kraaikamp, C. --- Influence of the fine-scale heterogeneity patterns on large-scale behaviour of miscible transport in porous media. Petroleum Geoscience 8 (2002), 159--165.

27. Hartono, Y. and Kraaikamp, C. --- On continued fractions with odd partial quotients. Revue Roumaine Math. Pures Appl. 47 (1), (2002).


Proceedings papers:
 1. Dekking, F.M., Kraaikamp, C., Elfeki, A.E., and Bruining, J. --- Synthesis and simulation of digital images by tree-indexed Markov chains. In: T.J. Schulz, P.S. Indell (eds.); Digital image recovery and synthesis IV (Proceedings of SPIE3815). SPIE Conference on Digital Image Recovery and Synthesis (Denver, July 1999), International Society for Optical Engineering, Bellingham, 1999, p. 227-238.

 2. Dekking, F.M., Kraaikamp, C., Elfeki, A.E. and Bruining, J. --- Influence of the fine-scale heterogeneity patterns on large-scale behaviour of miscible transport in porous media. 7th European Conference on the Mathematics of Oil Recovery (Baveno, 5--8 Sept. 2000), European Association of Geoscientists and Engineers, Houten, 2000, p. 1--7.(2000). Revised version in: Petroleum Geoscience 8 (2002), 159--165.


 3. Cooke, R. and Kraaikamp, C. --- Risk Analysis and Jurisprudence; A recent example, In: W.W. Doer (eds.); SERA-vol. 10: Safety engineering and risk analysis - 2000. 2000 ASME International Mechanical Engineering Conference and Exposition (Orlando, Nov. 5--10, 2000), ASME New York, 2000, p. 67--72.


Accepted papers:
 1. Hartono, Y., Kraaikamp, C. and Schweiger, F. --- Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. . To appear in: J. Th. Nombres Bordeaux.

  2. Hartono, Y. and Kraaikamp, C. ---  A Note on Hurwitzian Numbers. To appear in the Tokyo J. of Math.

 3. Dajani, K. and Kraaikamp, C. --- Random beta-expansions. To appear in Erodic Theory and Dynamical Systems.



Submitted papers:
 1. Dajani, K., and Kraaikamp, C. -- From Greedy to Lazy expansions and their driving dynamics. 

 2. Iosifescu, M., Kraaikamp, C. --- On Denjoy's canonical continued fraction expansions


Books accepted for publication:
 1. Kraaikamp, C. and Dajani, K. --- Ergodic Theory of Numbers. To appear in the MAA-Carus Series.

 2. Iosifescu, M. and Kraaikamp, C. --- Metrical Theory of Continued Fractions. Kluwer Academic Press.


Reports/Pre-print and other publications::
 1. Bosma, W., Kraaikamp, C. and Dajani, K. --- Entropy and counting correct digits, Rapporten Mathematisch Instituut 1999, June 1999.

 2. Alberts, G., C. Kraaikamp --- Kassa! De winst van de statistiek - interview met Ronald Does. ITW Nieuws, 9 (2000), 3--4 .

 3. Kraaikamp, C., I. Driessen --- Pi in de Pieterskerk. Nieuw Archief van de Wiskunde 5 (2000), 250--253.

 4. Kraaikamp, C. --- Het experiment van Buffon, Pythagoras 41 (2) (2001), 20--23.