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Biography

I am a senior lecturer and researcher at the University of Utrecht. My research interests are primarily in ergodic theory and its application to other fields such as number theory, probability theory and symbolic dynamics. See also my publications.

I am also interested in the area of financial mathematics and I have been the master thesis advisor of several students who wrote their thesis in this area.

Education

Information on courses I am giving at the university college UCU

Information on courses I am giving at the Bachelors level.

Information on course I am giving at the Masters level.

Information on the course I am giving at Würzburg University

Information on the course I am giving for Mastermath and SFM 2014

Information on the course Brownian Motion and Financial Mathematics2015-16

Information on the course Brownian Motion and Financial Mathematics2016-17

Information on the mastermath course Ergodic Theory 2016-17

Publications
• Dajani, K. Genericity of nontrivial $H$-superrecurrent $H$-cocycles. Trans. Amer. Math. Soc. 323 (1991), no. 1, 111--132.
• Dajani, K. On superrecurrence. Canad. Math. Bull. 34(1991), no. 1, 48--57.
• Dajani, K. Coboundaries under integrable exponentiation. Tokyo J. Math. 15 (1992), no. 1, 83--89.
• Dajani, K. Generic results for cocycles with values in a semidirect product. Canad. J. Math. 45 (1993), no. 3, 497--516.
• Dajani, K., Hawkins and J. Rohlin factors, product factors, and joinings for $n$-to-one maps. Indiana Univ. Math. J. 42 (1993), no. 1, 237--258.
• Dajani, K. and Hawkins, J. M. Examples of natural extensions of nonsingular endomorphisms. Proc. Amer. Math. Soc. 120 (1994), no. 4, 1211--1217.
• Dajani, K. and Kraaikamp, C. Generalization of a theorem of Kusmin. Monatsh. Math. 118 (1994), no. 1-2, 55--73.
• Dajani, Karma; Kraaikamp, Cor On approximation by Lüroth series. J. Théor. Nombres Bordeaux 8 (1996), no. 2, 331--346.
• Barrionuevo, J., Burton, R. M., Dajani, K. and Kraaikamp, C. Ergodic properties of generalized Lüroth series. Acta Arith. 74(1996), no. 4, 311--327.
• Dajani, K. and Dooley, A. The mean ratio set for $ax+b$ valued cocycles. Publ. Res. Inst. Math. Sci. 32 (1996), no. 4, 671--688.
• Dajani, K. and Hawkins, J. A construction of a non-measure-preserving endomorphism using quotient relations and automorphic factors. J. Math. Anal. Appl. 204 (1996), no. 3, 854--867.
• Dajani, K., Kraaikamp, C. and Solomyak, B. The natural extension of the ß-transformation. Acta Math. Hungar. 73 (1996), no. 1-2, 97--109.
• Dajani, K. and Kraaikamp, C. A note on the approximation by continued fractions under an extra condition. New York J. Math. 3A (1997/98), Proceedings of the New York Journal of Mathematics Conference, June 9--13, 1997, 69--80 (electronic).
• Burton, R., Dajani, K. and Meester, R. Entropy for random group actions. Ergodic Theory Dynam. Systems 18 (1998), no. 1, 109--124.
• Dajani, Karma; Kraaikamp, Cor A Gauss-Kusmin theorem for optimal continued fractions. Trans. Amer. Math. Soc. 351 (1999), no. 5, 2055--2079.
• Dajani, K. and Kraaikamp, C. "The mother of all continued fractions". Dedicated to the memory of Anzelm Iwanik. Colloq. Math. 84/85 (2000), part 1, 109--123.
• Dajani, K. and Fieldsteel, A. Equipartition of interval partitions and an application to number theory. Proc. Amer. Math. Soc. 129 (2001), no. 12, 3453--3460 (electronic).
• Dajani, K. A note on rotations and interval exchange transformations on 3-intervals. Int. J. Pure Appl. Math. 1 (2002), no. 2, 151--160.
• Dajani, K. and Kraaikamp, Cor From greedy to lazy expansions and their driving dynamics. Expo. Math. 20 (2002), no. 4, 315--327.
• Dajani, K. and Kraaikamp, C. Ergodic theory of numbers. Carus Mathematical Monographs, 29. Mathematical Association of America, Washington, DC, (2002) ISBN: 0-88385-034-6.
• Dajani, K. and Kraaikamp, Cor Random beta-expansions. Ergod. Th. & Dynam. Sys. (2003), 23.
• Dajani, K. and Meester, R. Random Entropy and Recurrence.  International Journal of Mathematics and Mathematical Sciences, vol. 2003 no. 47 (2003), 2977-2988.
• Bezuglyi, S., Dajani, K., Dooley, A.H. and Hamachi , T. Isomorphic actions of group extensions on a measure space. Indag. Math. (N.S.) 15 (2004), no. 2, 167--188.
• Dajani, K. and de Vries, M. Measures of Maximal Entropy for Random beta-expansions J. Eur. Math. Soc. (JEMS) 7 (2005), no. 1, 51--68.
• Dajani, K., Properties of expansions to non-integer bases; a survey. CWI Tract 135, (2005), 27--38.
• Dajani, K. and von Reis J., editors of the Proceedings of the 11th conference of EWM, CWI Tract 135 (2005).
• Bosma W., Dajani K. and Kraaikamp C., Entropy quotients and correct digits in number-theoretic expansions.  IMS Lecture Notes-Monograph Series  (Dynamics and Stochastics), vol. 48 (2006).

Last updated: November 1, 2014.

k.dajani1@uu.nl