- A. Manning, K. Simon,
Dimension of slices through the Sierpinski carpet. Preprint, 2009.
- M. Dekking, K. Simon, B. Szekely
The algebraic difference of two random Cantor sets: The Larsson's family. Preprint, 2009.
- B. Bárány, M. Pollicott, K. Simon,
Stationary measures for projective
transformations:
The Balckwell and Furstenberg measures. Preprint, 2009
- P. Móra, K. Simon and B.Solomyak
The Lebesgue measure of the algebraic
difference of two random Cantor sets.
Indagationes Mathematicae vol. 20 (1), (2009), 131-149.
- T. Jordan, K. Simon,
Multifractal analysis for Birkhoff averages
for some self-affine IFS.
Dynamical Systems An International Journal, Volume 22 Issue 4, 469
(2007) 469-483.
- F. Hofbauer, P. Raith, K. Simon,
Hausdorff dimension for some
hyperbolic attractors with overlaps and
without finite Markov partition.
Ergodic Theory Dynam. Systems 27
(4) (2007), 1143-1165.
- A. Manning, K.Simon,
Subadditive pressure for triangular maps.
Nonlinearity Volume 20, Number 1, January
(2007), 133-149.
- T. Jordan, M. Pollicott, K. Simon,
Hausdorff dimension for randomly perturbed self affine
attractors.Communications in Math. Phys. 270 (2007), 519-544.
- M. Dekking, K. Simon,
On the size of the algebraic
difference of two random Cantor sets.Random
Structures and Algorithms. 32 (2008) 205-222.
- Y. Peres, B. Solomyak, K. Simon,
Absolute continuity for
random iterated function systems with overlaps.
J. London Math. Soc. (2) 74 (2006) 739-756.
- K. Simon, B. Solomyak,
Visibility for self-similar sets of dimension one in the plane.
Real Analysis Exchange, 32 (2006/07) 67-78.
- A.H. Fan, K. Simon, H.R. Toth, Contracting on
average random IFS with repelling fixpoint.
Journal of Stat. Phys. 122 (2006), no. 1, 169--193.
- K. Simon,
Hausdorff dimension of hyperbolic attractors in
$\mathbb{R}^3$.
Fractal geometry and stochastics III, 79--92,
\emph{Progr. Probab.}, \textbf{57}, Birkhauser, Basel (2004).
- K. Simon, H.R. Tóth,
The absolute continuity of the
distribution of random sums with digits
$\{0,1,\dots,m-1\}$. Real Anal. Exchange
30 (2004/05), no. 1, 397--409.
- M.Keane, K. Simon, B. Solomyak The dimension
of graph directed attractors with overlaps on the line, with an
application to a problem in fractal image recognition Fundamentae Mathematicae 180 (2003), no. 3, 279--292.
- Y. Peres, K. Simon, B. Solomyak,
Fractals with positive length and zero Buffon needle probability
Amer. Math. Monthly 110, (2003) no. 4, 315-325.
- K. Simon,
B. Solomyak On the dimension
of self-similar sets Fractals vol. 10 No.1 (2002) 59-65.
- M. Rams, K. Simon, Hausdorff and
packing measure for solenoids Ergodic Theory and Dynamical
Systems 23 (2003), no. 1, 273-291.
- K. Simon, Multifractals and the dimension of exception. Real Anal. Exchange 27
(2001/2002),
no. 1, 191-207.
- K. Simon, B. Solomyak, M. Urbanski Hausdorff dimension of limit sets for parabolic IFS with overlaps. Pacific J.
Math.
(2001) 201 441-478.
- K. Simon, B. Solomyak, M. Urbanski Invariant measures
for parabolic IFS with overlaps and random continued fractions.
overlaps. Trans. Amer. Math. Soc. 353 (2001) 5145-5164.
- K.Simon B. Solomyak, Hausdorff
dimension for Horsehoes Ergod. Th. and Dyn. Syst. Ergodic
Therory and Dyn. Syst. (1999) 19, 1343-1363.
- Y. Peres, M. Rams, K.Simon B. Solomyak, Equivalence of
positive Hausdorff measure and open set condition for self-conformal
sets Proc. Amer. Math. Soc. 129 (2001) 2689-2699.
- K. Simon.
My first paper on Hausdorff dimension.