Research papers of Tamás Keleti
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TK and
András Máthé:
Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements,
arXiv:2203.15731.
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Alex Burgin, Samuel Goldberg, TK, Connor MacMahon, Xianzhi Wang:
Large sets avoiding infinite arithmetic / geometric progressions,
to appear in Real Analysis Exchange.
arXiv:2210.09284.
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TK, Stephen Lacina, Changshuo Liu, Mengzhen Liu, José Ramón Tuirán Rengel:
Tiling of rectangles via Diophantine approximation,
Discrete Mathematics 346 (2023), 113442.
The final publication is freely available here.
pdf
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James Cumberbatch, TK, Jialin Zhang:
Hausdorff dimension of union of lines that cover a curve,
to appear in Pure and Applied Functional Analysis.
arXiv:2107.07995.
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Kornélia Héra,
TK and
András Máthé:
A Fubini-type theorem for Hausdorff dimension,
to appear in Journal d'Analyse Mathématique.
arXiv:2106.09661.
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Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, TK and
Tuomas Pöyhtäri:
Fractal percolation is unrectifiable,
Advances in Mathematics 390 (2021) 107906.
arXiv:1910.11796.
The final publication is freely availble at
https://doi.org/10.1016/j.aim.2021.107906.
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Frank Coen, Nate Gillman, TK, Dylan King and Jennifer Zhu:
Large sets with small injective projections,
Annales Fennici Mathematici 46 (2021), 683-702.
arXiv:1906.06288.
The final publication is freely available at
afm.journal.fi.
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TK and
Pablo Shmerkin:
New bounds on the dimension of planar distance sets,
Geom. Funct. Anal. 29 (2019), 1886-1948.
arXiv:1801.08745.
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Kornélia Héra,
TK and
András Máthé:
Hausdorff dimension of union of affine subspaces,
J. Fractal Geom. 6 (2019), 263-284.
arXiv:1701.02299.
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Alan Chang,
Marianna Csörnyei,
Kornélia Héra
and TK:
Small unions of affine subspaces and skeletons via Baire category,
Adv. Math. 328 (2018), 801-821.
arXiv:1701.01405.
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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
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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.
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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.
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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.
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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.
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TK, András Máthé and
Ondřej Zindulka:
Hausdorff dimension of metric spaces and Lipschitz maps onto cubes,
Int. Math. Res. Notices 2014 (2014), 289-302.
free access to the full text
arXiv:1203.0686
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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.
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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.
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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.
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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
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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
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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
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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
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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
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TK:
Periodic decomposition of measurable integer valued functions,
J. Math. Anal. Appl. 337 (2008), 1394-1403.
dvi,
pdf, ps
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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
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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
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TK:
When is the modified von Koch snowflake
non-self-intersecting?,
Fractals 14 (2006), No. 3, 245-249.
pdf, ps
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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
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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
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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
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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
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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
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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
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Miklós Abért and TK:
Shuffle the plane,
Proc. Amer. Math. Soc. 130 (2002), 549-553.
dvi,
pdf, ps
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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
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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
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TK: Density and covering properties of intervals of R^n,
Mathematika 47 (2000), 229-242.
dvi,
pdf, ps
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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
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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
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TK: Difference functions of periodic measurable functions,
Fund. Math. 157 (1998), no. 1, 15--32.
dvi,
pdf, ps
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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
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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
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TK: On the differences and sums of periodic measurable functions,
Acta Math. Hungar. 75 (1997), no. 4, 279--286.
dvi,
pdf, ps
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TK: Difference functions of periodic measurable functions,
PhD dissertation, Eötvös Loránd University, Budapest, 1996.
pdf, ps
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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
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TK: The mountain climbers' problem,
Proc. Amer. Math. Soc. 117 (1993), no. 1, 89--97.
dvi,
pdf, ps