## Research papers of Tamás Keleti

(These papers are not always identical to the published ones. These are simply the latest electronic versions I have. For example, "Added in proof" remarks are typically missing here.)
1. TK and Pablo Shmerkin: New bounds on the dimesnion of planar distance sets,
arXiv:1801.08745.

2. Kornélia Héra, TK and András Máthé: Hausdorff dimension of union of affine subspaces,
arXiv:1701.02299.

3. Alan Chang, Marianna Csörnyei, Kornélia Héra and TK: Small unions of affine subspaces and skeletons via Baire category, to appear in Adv. Math.
arXiv:1701.01405.

4. TK: Small union with large set of centers, Recent Developments in Fractals and Related Fielsds Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015, J. Barral & S. Seuret (Eds.), Birkhäuser Basel, 2017, 189-206.
arXiv:1701.027622

5. TK, Máté Matolcsi, Fernando Mário de Oliveira Filho and Imre Z. Ruzsa: Better bounds for planar sets avoiding unit distances, Discrete & Computational Geometry 55 (2016), 642-661.
arXiv:1501.00168
The final publication is available at link.springer.com.

6. TK: Are lines much bigger than line segments?, Proc. Amer. Math. Soc. 144 (2016), 1535-1541.
arXiv:1409.5992
The final publication is available at www.ams.org.

7. TK, Dániel T. Nagy and Pablo Shmerkin: Squares and their centers, Journal d'Analyse Mathematique 134 (2018), 643-669.
arXiv:1428.1029
The final publication is available at link.springer.com.

8. Márton Elekes and TK: Decomposing the real line into Borel sets closed under addition, Mathematical Logic Quarterly 61 (2015), 466-473.
arXiv:1406.0701
The final publication is available at onlinelibrary.wiley.com.

9. TK, András Máthé and Ondřej Zindulka: Hausdorff dimension of metric spaces and Lipschitz maps onto cubes, Int. Math. Res. Notices 2014 (2014), 289-302.
arXiv:1203.0686

10. Esa Järvenpää, Maarit Järvenpää and TK: Hausdorff dimension and non-degenerate families of projections, J Geom Anal 24 (2014), 2020-2034
arXiv:1203.5296
The final publication is available at link.springer.com.

11. Márton Elekes, TK and András Máthé: Reconstructing geometric objects from the measures of their intersections with test sets, J. Fourier Anal. Appl. 19 (2013) 545-576.
arXiv:1109.6169
The final publication is available at link.springer.com.

12. Viktor Harangi, TK, Gergely Kiss, Péter Maga, András Máthé, Pertti Mattila and Balázs Strenner: How large dimension guarantees a given angle?, Monatsh. Math. 171 (2013) 169-187.
arXiv:1101.1426
The final publication is available at link.springer.com.

13. Esa Järvenpää, Maarit Järvenpää, TK and András Máthé: Continuously parametrized Besicovitch sets in R^n, Ann. Acad. Sci. Fenn. Math. 36 (2011), 411-421.
pdf

14. TK and Elliot Paquette: The trouble with the Koch curve built from n-gons , Amer. Math. Monthly 117 (2010), no. 2, 124-137.
pdf, an illustration

15. Márton Elekes, TK and András Máthé: Self-similar and self-affine sets; measure of the intersection of two copies, Ergodic Theory Dynam. Systems 117 (2010), no. 2, 124-137.
pdf, ps

16. TK: Construction of 1-dimensional subsets of the reals not containing similar copies of given patterns, Anal. PDE 1 (2008), no. 1, 29--33.
pdf

17. Bálint Farkas, Viktor Harangi, TK and Szilárd György Révész: Invariant decomposition of functions with respect to commuting invertible transformations , Proc. Amer. Math Soc. 136 (2008), 1325-1336.
pdf

18. TK: Periodic decomposition of measurable integer valued functions, J. Math. Anal. Appl. 337 (2008), 1394-1403.
dvi, pdf, ps

19. Gyula Károlyi, TK, Géza Kós and Imre Z. Ruzsa: Periodic decomposition of integer valued functions, Acta Math. Hungar. 119 (2008), no. 3, 227--242..
dvi, pdf, ps

20. TK and Mihalis Kolountzakis: On the determination of sets by their triple correlation in finite cyclic groups, Online Journal of Analytic Combinatorics 1 (2006), #4.
dvi, pdf, ps

21. TK: When is the modified von Koch snowflake non-self-intersecting?, Fractals 14 (2006), No. 3, 245-249.
pdf, ps

22. Márton Elekes and TK: Is Lebesgue measure the only sigma-finite invariant Borel measure?, J. Math. Anal. Appl. 321 (2006) 445-451.
dvi, pdf, ps

23. Márton Elekes and TK: Borel sets which are null or non-sigma-finite for every translation invariant measure, Adv. Math. 201 (2006), 102-115.
dvi, pdf, ps

24. Petr Holicky and TK: Borel classes of sets of extreme and exposed points in R^n , Proc. Amer. Math. Soc. 133 (2005), no. 6, 1851-1859..
dvi, pdf, ps

25. TK and Tamás Mátrai: A nowhere convergent series of functions which is somewhere convergent after a typical change of signs, Real Analysis Exchange 29 (2003/04), no. 2, 891-894.
pdf, ps

26. Udayan B. Darji and TK: Covering the real line with translates of a compact set, Proc. Amer. Math. Soc. 131 (2003), 2593-2596.
dvi, pdf, ps

27. Márton Elekes, TK and Vilmos Prokaj: The composition of derivatives has a fixed point, Real Analysis Exchange 27 (2001/02), 131-140.
dvi, pdf, ps

28. Miklós Abért and TK: Shuffle the plane, Proc. Amer. Math. Soc. 130 (2002), 549-553.
dvi, pdf, ps

29. TK and David Preiss: The balls do not generate all Borel sets using complements and countable disjoint unions, Math. Proc. Cambridge Philos. Soc. 128 (2000), no. 3, 539-547.
dvi, pdf, ps

30. TK: The Dynkin system generated by the large balls of R^n, Real Anal. Exchange 24 (1998/99), no. 2, 859-866.
dvi, pdf, ps

31. TK: Density and covering properties of intervals of R^n, Mathematika 47 (2000), 229-242.
dvi, pdf, ps

32. TK: A covering property of some classes of sets in R^n, Acta Univ. Carolin. Math. Phys. 39 (1998), no. 1-2, 111-118.
dvi, pdf, ps

33. TK: A 1-dimensional subset of the reals that intersects each of its translates in at most a single point, Real Anal. Exchange 24 (1998/99), no. 2, 843--844.
dvi, pdf, ps

34. TK: Difference functions of periodic measurable functions, Fund. Math. 157 (1998), no. 1, 15--32.
dvi, pdf, ps

35. TK: Periodic ${\rm Lip}\sp \alpha$ functions with ${\rm Lip}\sp \beta$ difference functions Colloq. Math. 76 (1998), no. 1, 99--103.
dvi, pdf, ps

36. TK: Periodic $L\sb p$ functions with $L\sb q$ difference functions, Real Anal. Exchange 23 (1997/98), no. 2, 431--440.
dvi, pdf, ps

37. TK: On the differences and sums of periodic measurable functions, Acta Math. Hungar. 75 (1997), no. 4, 279--286.
dvi, pdf, ps

38. TK: A peculiar set in the plane constructed by Vitushkin, Ivanov and Melnikov, Real Anal. Exchange 20 (1994/95), no. 1, 291--312.
pdf, ps

39. TK: The mountain climbers' problem, Proc. Amer. Math. Soc. 117 (1993), no. 1, 89--97.
dvi, pdf, ps