Publications and papers submitted for publication

  1. Differentiability of Lipschitz functions, structure of null sets, and other problems
    to appear in Proceedings of ICM Hyderabad, India, 2010. (Joint with G. Alberti and D. Preiss)

  2. Upper conical density results for general measures on $R^n$
    Proc. Edinb. Math. Soc. 53 (2010), pp. 311-331. (Joint with A. Kaenmaki, T. Rajala and V. Suomala)

  3. Points of middle density in the real line
    Submitted. (Joint with J. Grahl and Toby O'Neil)

  4. Haar measure is not approximable by balls
    Acta Univ. Sapientiae Math. 1(1) (2009), pp. 83-86.

  5. Which measures are projections of purely unrectifiable one-dimensional Hausdorff measures?
    Proc. Amer. Math. Soc. 137(1) (2009), pp. 145-154. (Joint with V. Suomala)

  6. Homeomorphisms in the Sobolev space $W^{1,n-1}$
    To appear in J. Reine Angew. Math. (Joint with S. Hencl and J. Maly)

  7. Tube-Measurability
    Real Anal. Exchange 33(1) (2008), pp. 243-247. (Joint with L. Wisewell)

  8. Sets of finite $H^1$ measure that intersect positively many lines in infinitely many points
    Ann. Acad. Sci. Fenn. Math. 32(2) (2007), pp. 545--548. (Joint with D. Preiss)

  9. Universal singular sets in the calculus of variations
    Arch. Ration. Mech. Anal. 190(3) (2008), pp. 371-424. (Joint with B. Kirchheim, T. O'Neil, D. Preiss and S. Winter)

  10. Darboux property of Gateaux derivatives of functions on $R^n$
    Acta Math. Hungar. 120(3) (2008), pp. 209-234. (Joint with P. Holicky)

  11. Whitney and 1-critical arcs
    Fund. Math. 199(2) (2008), pp. 119-130. (Joint with J. Kalis and L. Zajicek)

  12. Structure of null sets in the plane and applications
    "European Congress of Mathematics, Stockholm, June 27 - July 2, 2004", pp. 3-22, A. Laptev Ed., European Mathematical Society Publishing House, Zürich 2005 (Joint with G. Alberti and D. Preiss)

  13. Appendix: Positive measure self-similar sets without interior
    Ergod. Th. & Dynam. Sys. 26 (2006), pp. 755-758. (Joint with T. Jordan, M. Pollicott, D. Preiss and B. Solomyak)

  14. First-return integrals
    J. Math. Anal. Appl. 305(2) (2005), pp. 546--559. (Joint with U.B. Darji, M.J. Evans and P.D. Humke)

  15. Scaled-oscillation and regularity
    Proc. Amer. Math. Soc. 134 (9) (2006), pp. 2667--2675. (Joint with Z. Balogh)

  16. BV has the bounded approximation property
    The Journal of Geometric Analysis 15(1) (2005), pp. 1-7. (Joint with G. Alberti, A. Pelczynski and D. Preiss)

  17. Lipschitz functions with unexpectedly large sets of non-differentiability points
    Abstract and Applied Analysis 4 (2005), pp. 361-373. (Joint with D. Preiss and J. Tiser)

  18. Lipschitz sums of convex functions
    Studia Mathematica 158 (3) (2003), pp. 269-286. (Joint with A. Naor)

  19. A note on simultaneous polar and Cartesian decomposition
    GAFA Israel Seminar 2001-2002, Lecture Notes in Mathematics, Vol. 1807, pp. 1-19. (Joint with F. Barthe and A. Naor)

  20. Lipschitz image of Lipschitz functions
    Real Analysis Exchange, Vol 27(2) (2001/2002), pp. 735-738.

  21. An example illustrating $P^g(K)\neq P_0^g(K)$ for compact sets of finite premeasure
    Real Analysis Exchange, Vol 27(1) (2001/2002), pp. 65-70.

  22. Can one squash the space into the plane without squashing?
    Geometric And Functional Analysis, Vol 11(5) (2001), pp. 933-952.

  23. The composition of two derivatives has a fixed point
    Real Analysis Exchange, Vol 26(2) (2000/2001), pp. 749-760. (Joint with T.C. O'Neil and D. Preiss)

  24. Some periodic and non-periodic recursions
    Monatshefte für Mathematik, Vol 132 (2001), pp. 215-236. (Joint with M. Laczkovich)

  25. Scaling properties of Hausdorff and packing measures
    Math. Ann., Vol 319 (2001), pp. 817-836. (Joint with R.D. Mauldin)

  26. On planar sets with prescribed packing dimensions of line sections
    Math. Proc. Cambridge Philos. Soc., Vol 130 (2001), pp. 523-539.

  27. How to make Davies' theorem visible
    Bulletin of London Math. Soc., Vol 33 (2001), pp. 59-66.

  28. Denjoy-Young-Saks's theorem for approximate derivatives revisited
    Real Analysis Exchange, Vol 26(1) (2000/2001), pp. 485-488. (Joint with G. Alberti, M. Laczkovich and D. Preiss)

  29. Absolutely continuous functions of Rado, Reichelderfer and Malý
    J. of Math. Anal. and Applications, Vol 252 (2000), pp. 147-166.

  30. On the visibility of invisible sets
    Annales Academiæ Scientiarum Fennicæ, Mathematica, Vol 25 (2000), pp. 415-421.

  31. Az $x^2+dy^2$ alakú számok hányadosáról. (In Hungarian)
    Középiskolai Matematikai Lapok, 2000.

  32. A note on strongly invisible sets
    Real Analysis Exchange, Vol 25(1) (1999/2000), pp. 481-484.

  33. Mennyi a kicsi, ha a tér nagy? Nullahalmazok Banach-terekben. (In Hungarian)
    Matematikai Lapok, (1996/3-4), pp. 1-26.

  34. Aronszajn null and Gaussian null sets coincide
    Israel Journal of Mathematics, Vol 111 (1999), pp. 191-201.

  35. On Whitney pairs
    Fundamenta Mathematicae, Vol 160 (1999), pp. 63-79.

  36. On the affine sharpness of hearts density theorem
    Real Analysis Exchange, Vol 24(1) (1998/9), pp. 289-294.

  37. Remark on the space of restricted derivatives
    Annales Univ. Sci. Budapest., Vol 41 (1998), pp. 11-12.

  38. Differentiability points of a distance function
    Acta Universitatis Carolinae - Mathematica et Physica, Vol 39(1-2) (1998), pp. 105-110.

  39. Density theorems revisited
    Acta Sci. Math. (Szeged), Vol 64 (1998), pp. 59-65.

  40. On the non-existence of certain bounded projections
    Real Analysis Exchange, Vol 23(1) (1997/8), pp. 217-222.

  41. On the chord set of continuous functions
    Real Analysis Exchange, Vol 22(2) (1996/7), pp. 853-856.