Márton Elekes

Information for students

Papers

My research is partially supported by and .

Balka, R., Buczolich, Z. and Elekes, M. A new fractal dimension: The topological Hausdorff dimension, pdf, submitted.

Elekes, M., Keleti, T. and Máthé, A. Reconstructing geometric objects from the measures of their intersections with test sets, pdf, submitted.

Balka, R., Buczolich, Z. and Elekes, M. Topological Hausdorff dimension and level sets of generic continuous functions on fractals, pdf, submitted.

Elekes, M. and Steprans, J. Haar null sets and the consistent reflection of non-meagreness, pdf, submitted.

Balka, R. and Elekes, M. Continuous horizontally rigid functions of two variables are affine, pdf, to appear in Aequationes Math.

Elekes, M. A covering theorem and the random-indestructibility of the density zero ideal, pdf, to appear in Real Anal. Exchange.

Elekes, M., Mátrai, T. and Soukup, L. On splitting infinite-fold covers, pdf, Fund. Math. 212 (2011), 95-127.

Elekes, M., Keleti, T. and Máthé, A. Self-similar and self-affine sets; measure of the intersection of two copies, pdf, Ergodic Theory Dynam. Systems. 30 (2010), no. 2, 399-440.

Elekes, M. and Máthé, A. Can we assign the Borel hulls in a monotone way?, ps, pdf, Fund. Math. 205 (2009), no. 2, 105-115.

Balka, R. and Elekes, M. The structure of continuous rigid functions of two variables, pdf, Real Anal. Exchange 35 (2009), no. 1, 139-156.

Elekes, M. On a converse to Banach's Fixed Point Theorem, ps, pdf, Proc. Amer. Math. Soc. 137 (2009), no. 9, 3139-3146.

Balka, R. and Elekes, M. The structure of rigid functions, ps, pdf, J. Math. Anal. Appl. 345 (2008), no. 2, 880-888.

Elekes, M. and Tóth, Á. Covering locally compact groups by less than continuum many translates of a compact nullset, ps, pdf, Fund. Math. 193 (2007), 243-257.

Elekes, M. and Laczkovich, M. A cardinal number connected to the solvability of systems of difference equations in a given function class, ps, pdf, J. Anal. Math. 101 (2007), 199-218.

Elekes, M. and Keleti, T. Is Lebesgue measure the only sigma-finite invariant Borel measure?, ps, pdf, J. Math. Anal. Appl. 321 (2006), no. 1, 445-451.

Elekes, M. and Steprans, J. Chains of Baire class 1 functions and various notions of special trees, ps, pdf, Israel J. Math. 151 (2006), 179-187.

Elekes, M. and Keleti, T. Borel sets which are null or non-sigma-finite for every translation invariant measure, ps, pdf, Adv. Math. 201 (2006), 102-115.

Elekes, M. Hausdorff measures of different dimensions are isomorphic under the Continuum Hypothesis, ps, pdf, Real Anal. Exchange 30 (2004/05), no. 2, 605-616.

Elekes, M. and Steprans, J. Less than continuum many translates of a compact nullset may cover the real line, ps, pdf, Fund. Math. 181 (2004), no. 1, 89-96.

Elekes, M. Measurable envelopes, Hausdorff measures and Sierpinski sets, ps, pdf, Coll. Math. 98 (2003), no. 2, 155-162.

Elekes, M. and Kunen, K. Transfinite sequences of continuous and Baire class 1 functions, ps, pdf, Proc. Amer. Math. Soc. 131 (2003), no. 8, 2453-2457.

Elekes, M. Level sets of differentiable functions of two variables with non-vanishing gradient, ps, pdf, J. Math. Anal. Appl. 270 (2002), no. 2, 369-382.

Elekes, M., Keleti, T. and Prokaj, V. The composition of derivatives has a fixed point, ps, pdf, Real Anal. Exchange 27 (2001/02), no. 1, 131-140.

Elekes, M. Linearly ordered families of Baire 1 functions, ps, pdf, Real Anal. Exchange 27 (2001/02), no. 1, 49-63.

Address: Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences H-1053 Budapest, Reáltanoda u. 13-15. H-1364 Budapest, P.O. Box: 127 Office: III. 12. Phone: (36-1) 483 8351, (36-1) 483 8300 Fax: (36-1) 483 8333 e-mail: