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.
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).
Dajani, K., Kraaikamp, C., and Liardet, P. Ergodic properties
of
signed binary expansions, Disc. and Cont. Dynamical
Systems vol. 15, no. 1 (2006).
Dajani, K., de Vries, M., Johnson A., The relative growth of
information
in two-dimensional partitions, Real
Analysis
Exchange, vol. 31, issue 2
(2006).
Dajani, K. and de Vries, M. Invariant Densities for Random
beta-expansions, J. Eur. Math. Soc. (JEMS) ,vol. 9, issue 1 (2007).
Dajani, K. and Kalle C. On the convergence of logarithmic
first return
times, Revue Romaine de Math. Pures et Appl., Volume 52, Number 1,
2007, pp.
35-46.
Dajani, K. and Kalle C. Natural
Extensions
for
the
Golden
Mean. Proceedings of the 13th General Meeting
of the European Women in Mathematics. World Scientific (2010). ISBN-13
978-981-4277-69-9.
Dajani K., Komornik V., Loreti P. de Vries M. Optimal expansions in non-integer bases. To
appear in the Proceedings of AMS.
Preprints
Dajani, K. A note on cocycles in a semidirect product.
Report
TUDelft 93-65, 1993.
Dajani, K. The Markov property of Random beta-expansions.
Preprint
1252, Department of Mathematics, Utrecht University, 2002.
Dajani, K. and Kalle, C. - A note on the greedy
beta-transformation
with deleted digits. Preprint 1362, University, 2007. To appear in
SMF Séminaires et Congrès, Number 19, 2008
Work in progress
Dajani, K., and Liardet, P. On eigenvalues of induced
transformations.
