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Projekt adatai

 
azonosító
124749
típus K
Vezető kutató Laczkovich Miklós
magyar cím Valós analízis
Angol cím Real Analysis
magyar kulcsszavak Geometriai mérékelmélet, dinamikai rendszerek, leíró halmazelmélet
angol kulcsszavak Geometric measure theory, decompositions, generic objects, descriptive set theory
megadott besorolás
Matematika (Műszaki és Természettudományok Kollégiuma)100 %
Ortelius tudományág: Matematikai analízis
zsűri Matematika–Számítástudomány
Kutatóhely HUN-REN Rényi Alfréd Matematikai Kutatóintézet
résztvevők Balka Richárd
Buczolich Zoltán
Elekes Márton
Héra Kornélia
Keleti Tamás
Keszthelyi Gabriella
Kiss Gergely
Kiss Viktor
Máthé András
Nagy Donát
Poór Márk
Vidnyánszky Zoltán
projekt kezdete 2017-12-01
projekt vége 2024-06-30
aktuális összeg (MFt) 48.000
FTE (kutatóév egyenérték) 26.84
állapot aktív projekt





 

Zárójelentés

 
kutatási eredmények (magyarul)
A kutatás eredményeit 120 közleményben, olyan rangos nemzetközi folyóiratokban publikáltuk (publikáljuk), mint például az Inventiones, Forum of Mathematics Pi és Sigma, Trans. Amer. Math. Soc., Adv. Math., Mem. Amer. Math. Soc., Geom. Funct. Anal. és Israel J. Math. Kutatóink számos nemzetközi konferencián plenáris vagy meghívott előadóként számoltak be a projekt eredményeiről. Számos olyan dolgozat született, amelyben régóta nyitott problémák kerültek megoldásra, olyan modern és aktív témákban, mint például a Borel kromatikus számok, csip-tüzelés graphonokon, a Fuglede-sejtés, a távolsághalmaz-probléma, a Schanuel-sejtés, generikus tulajdonságok és fraktál-perkoláció.
kutatási eredmények (angolul)
The results of the project were published in 120 papers in very prestigious international journals such as Inventiones, Forum of Mathematics Pi and Sigma, Trans. Amer. Math. Soc., Adv. Math., Mem. Amer. Math. Soc., Geom. Funct. Anal., Israel J. Math., just to name a few. The researchers reported on the results at numerous international conferences, many times as plenary or invited speakers. Numerous papers solved long-standing open problems in modern and active topics such as Borel chromatic numbers, chip-firing on graphons, Fuglede’s conjecture, the distance set problem, Schanuel’s Conjecture, generic properties, and fractal percolation.
a zárójelentés teljes szövege https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=124749
döntés eredménye
igen





 

Közleményjegyzék

 
R. Balka, T. Keleti: New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions, submitted, arXiv:2312.06456, 2023
R. Balka, A. Csordás, G. Homa: Positivity and entaglement of polynomial Gaussian integral operators, submitted, arXiv:2405.04438, 2024
R. Balka, A. Csordás, G. Homa: Minimal eigenvalue estimates for self-adjoint trace-class operators, submitted, arXiv:2407.04478, 2024
E. Csóka, Z. Vidnyánszky: FIID homomorphisms and entropy inequalities, submitted, arXiv:2407.10006, 2024
M. Poór, S. Shelah: Between Whitehead groups and uniformization, submitted (JML), 2022
M. Elekes, B. Gehér, T. Kátay, T. Keleti, A. Kocsis, M. Pálfy: Generic properties of topological groups, submitted to J. Symb. Log., 2022
B. Csikós, T. Kátay, A. Kocsis, M. Pálfy: Compact Lie groups isolated up to conjugacy, arXiv: 2209.15389, 2022
G. Kiss, D. Matolcsi, M. Matolcsi, G. Somlai: Tiling and weak tiling in (Z_p)^d, benyújtva, 2022
Keleti T., Máthé A.: Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complement, benyújtva, 2022
Alex Burgin, Samuel Goldberg, Tamás Keleti, Connor MacMahon, Xianzhi Wang: Large sets avoiding infinite arithmetic / geometric progressions, benyújtva, 2022
Grebik, J., Vidnyánszky Z.: Tall F_\sigma subideals of tall analytic ideals, Proc. Amer. Math. Soc. 151 (2023), 4043-4046., 2023
Balka, R., Elekes, M., Kiss, V., Nagy, D., Poór, M.: Compact sets with large projections and nowhere dense sumset, Nonlinearity 36 (2023), no. 10, 5190-5215., 2023
M. Laczkovich, I. Vasenov: Tiling of regular polygons with similar right triangles, Rocky Mountain Journal of Mathematics 53 (1) (2023) 153-155., 2023
G. Kiss, M. Laczkovich: Translation invariant linear spaces of polynomials, Fund. Math. 260, 163-179, 2023., 2023
G. Kiss, J-L. Marichal: Nonstandard n-distances based on certain geometric constructions, Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 64 (1), 107-126, 2023., 2023
Zoltán Buczolich, Bruce Hanson, Balázs Maga, Gáspár Vértesy: Strong one-sided density without uniform density, Period. Math. Hungar. 86 (2023), no. 1, 13–23., 2023
Zoltán Buczolich, Gunther Leobacher and Alexander Steinicke: Continuous functions with impermeable graphs, Math. Nachr. 296 (2023), no. 10, 4778–4805., 2023
K. Héra, T. Keleti, A. Máthé: A Fubini type theorem for Hausdorff dimension, J. Anal. Math. (2023), 2023
J. Frisch, A.S. Kechris, F. Shinko, Vidnyanszky Z.: Realizations of countable Borel equivalence relations, submitted to Mem. Amer. Math. Soc., 2021
A. Medini, Vidnyanszky Z: Zero-dimensional \sigma-homogeneous spaces, Ann. Pure App. Log. 175 (2024), no 1., 103-133., 2024
Tamás Keleti, Stephen Lacina, Changshuo Liu, Mengzhen Liu, José Ramón Tuirán Rangel: Tiling of rectangles with squares via Diophantine approximation, Discret. Math. 346(9): 113442 (2023), 2023
M. Laczkovich: Quadrilateral reptiles, Beitr"age zur Algebra und Geometrie 64 (2023), 945-967., 2023
A. Ambrus, M. Csikos, G. Kiss, J. Pach, G. Somlai: Optimal embedded and enclosing isosceles triangles, Int. J. Found. Comput. 34 (07), 737-760, 2023., 2023
P. Burai, G. Kiss, P. Szokol: A dichotomy result for strictly increasing bisymmetric maps, Journal of Mathematical Analysis and Applications 526 (2), 127269, 2023., 2023
G. Kiss, J. Schwaiger: Sincov's and other functional equations and negative interest rates, Aequationes Mathematicae 97 (3), 629-637, 2023., 2023
G. Kiss, D. Matolcsi, M. Matolcsi, G. Somlai: Tiling and weak tiling in (Z_p)^d, accepted at Sampling Theory, Signal Processing, and Data Analysis, 2023., 2023
Alex Burgin, Samuel Goldberg, Tamás Keleti, Connor MacMahon, Xianzhi Wang: Large sets avoiding infinite arithmetic / geometric progressions, Real Anal. Exchange 48(2): 351-364 (2023), 2023
E. Gselmann, G. Kiss: Polynomial equations for additive functions II., arXiv: 2303.03306, 2023
G. Kiss, G. Somlai, T. Terpai: Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication, arXiv:2303.16579, 2023
T. Fallon, G. Kiss, A. Mayeli, G. Somlai: Spectral Tile Direction in the Group (Z_p)^2 x (Z_q)^2 x Z_r, arxiv:2308.16277, 2023
G. Kiss, M. Laczkovich: Separately polynomial functions, Monatshefte für Mathematik 197 (1) (2022), 125-130., 2022
Z. Buczolich, B. Maga: Box dimension of generic Hölder level sets, arxiv:2306.04790, 2023
R. Balka, T. Keleti: Lipschitz images and dimensions, submitted to Adv. Math., arxiv:2308.02639, 2023
G. Homa, R. Balka, J. Z. Bernád, M. Károly, A. Csordás: Newton's identities and positivity of trace class integral operators, J. Phys. A: Math Theor., 56, 145203 (2023), 2023
T. Katay, L. M. Toth, Z. Vidnyánszky: The CSP Dichotomy, the Axiom of Choice, and Cyclic Polymorphisms, submitted, arxiv:2310.00514, 2023
E. Csoka, Z. Vidnyanszky: FIID homomorphisms and entropy inequalities, submitted, 2023
M. Poór, S. Shelah: On the weak Borel chromatic number and cardinal invariants of the continuum, submitted, arxiv:2302.10141, 2023
M. Poór, A. Rinot: A Shelah group in ZFC, submitted, arxiv:2305.11155, 2023
U.B. Darji, M. Elekes, T. Kátay, A. Kocsis, M. Pálfy: Generic isomorphism classes of abelian groups, submitted, arXiv:2306.05214, 2023
K. Héra: Hausdorff dimension of Furstenberg-type sets associated to families of affine subspaces, Annales Fennici Mathematici 44(2), 903–923, 2019
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random automorphisms of the random graph, Ann. Pure App. Log. 173 (2022), no. 9, 27 pp., 2022
V. Kiss, L. Levine, L. Tóthmérész: The devil's staircase for chip-firing on random graphs and on graphons, accepted, Random Structures & Algorithms, 2024
Todorcevic, S. Vidnyánszky Z.: A complexity problem for Borel graphs, Inventiones Mathematicae volume 226, pages 225–249 (2021), 2021
G. Kiss, G. Somlai: Special directions on the finite affine plane, Designs, Codes and Cryptography, published online, 2024, 2024
S. Brandt, Y. Chang, J. Grebik, C. Grunau, V. Rozhon, Vidnyanszky Z: On homomorphism graphs, Forum of Mathematics, Pi, volume 12, e10, 2024, 2024
Tamás Keleti, James Cumberbatch, Jialin Zhang: Hausdorff dimension of union of lines that cover a curve, Pure and Applied Functional Analysis, volume 8, number 6, 1651-1659, 2023, 2023
I. Altaf, M. Csörnyei, K. Héra: Hausdorff dimension of Besicovitch sets of Cantor graphs, Mathematika, volume 70, issue 2, e12241, 2024, 2024
E. Gselmann, G. Kiss: Polynomial equations for additive functions I. The inner parameter case, Results in Mathematics, volume 79, article number 63, 2024, 2024
M. Poór, S. Shelah: Universal graphs between a strong limit singular and its power, submitted, 2022
G. Kiss, D. Matolcsi, M. Matolcsi, G. Somlai: Tiling and weak tiling in (Z_p)^d, Sampling Theory, Signal Processing, and Data Analysis, volume 22, article number 1, 2024, 2024
E. Gselmann, G. Kiss: Polynomial equations for additive functions II. The mixed parameter case, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, volume 118, article number 112, 2024, 2024
Z. Buczolich, B. Maga: Box dimension of generic Hölder level sets, Indagationes Mathematicae, volume 35, issue 3, pages 531-554, 2024
R. Balka, T. Keleti: Lipschitz images and dimensions, Advances in Mathematics, 446 (2024), article 109669, 2023
Z. Buczolich, B. Maga, G. Vértesy: Better estimates of Hölder thickness of fractals, submitted, 2023
M. Laczkovich: Schanuel's conjecture and the roots of elementary functions, accepted, Elemente der Mathematik, 2024
Tamás Keleti, James Cumberbatch, Jialin Zhang: Hausdorff dimension of union of lines that cover a curve, submitted, 2021
Tamás Keleti, Stephen Lacina, Changshuo Liu, Mengzhen Liu, José Ramón Tuirán Rangel: Tiling of rectangles with squares via Diophantine approximation, submitted, 2022
Balka R., Elekes M., Kiss V.: The range of dimensions of microsets, https://arxiv.org/abs/2102.13059, 2021
Márk Poór, Saharon Shelah: Universal graphs between a strong limit singular and its power, submitted, 2022
András Máthé, Jonathan A. Noel, Oleg Pikhurko: Circle Squaring with Pieces of Small Boundary and Low Borel Complexity, arXiv:2202.01412, 2022
B. D. Miller, Z. Vidnyanszky: On the existence of large antichains for definable quasi-orders, J. Symb. Logic 85 (2020), no. 1, 103-108., 2020
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random automorphisms of the random graph, Ann. Pure App. Log., elfogadva, 2022
G. Kiss, R. D. Malikiosis, G. Somlai, M. Vizer: Fuglede's conjecture holds for cyclic groups of order pqrs, Journal Fourier Analysis and Applications 28, 79 (2022), 2022
Grebik, J., Vidnyánszky Z.: Tall F_\sigma subideals of tall analytic ideals, Proc. Amer. Math. Soc., elfogadva, 2022
L. Grabowski, A. Máthé and O. Pikhurko: Measurable equidecompositions for group actions with an expansion property, Journal of Eur Math Soc 24 (2022) 4277-4326, 2022
Elekes, M., Flesch, J., Kiss, V., Nagy, D., Poór, M., Predtetchinski, A.: Games characterizing limsup functions and Baire class 1 functions, J. Symb. Log. 87(4), (2022), 1459-1473., 2022
Balka, R., Elekes, M., Kiss, V., Nagy, D., Poór, M.: Compact sets with large projections and nowhere dense sumset, submitted to Nonlinearity, 2020
R. Balka, M. Elekes, V. Kiss: Stability and measurability of the modified lower dimension, Proc. Amer. Math. Soc. 150, (2022), 3889-3898., 2022
M. Laczkovich, I. Vasenov: Tiling of regular polygons with similar right triangles, Rocky Mt. J. Math., accepted, 2021
G. Kiss, M. Laczkovich: Translation invariant linear spaces of polynomials, Fund. Math., accepted, 2021
T. Fallon, G. Kiss, G. Somlai: Spectral sets and tiles in Z^2_p×Z^2_q, Journal of Functional Analysis 282(12), 109472, (2022), 2022
G. Kiss, T. Titkos: Isometric rigidity of Wasserstein spaces: the graph metric case, Proc. Amer. Math. Soc. 150, 4083-4097. (2022), 2022
Zoltán Buczolich, Bruce Hanson, Balázs Maga, Gáspár Vértesy: Strong one-sided density without uniform density, Period. Math. Hung. (2022), 2022
Zoltán Buczolich, Balázs Maga, Gáspár Vértesy: Generic Hölder level sets on Fractals, J. Math. Anal. Appl. 516 (2022), no. 2, Paper No. 126543, 26 pp, 2022
Zoltán Buczolich, Balázs Maga, Gáspár Vértesy: Generic Hölder level sets and fractal conductivity, Chaos Solitons Fractals 164 (2022), Paper No. 112696, 11 pp, 2022
K. Héra, T. Keleti, A. Máthé: A Fubini type theorem for Hausdorff dimension, to appear in J. Anal. Math., 2021
Tamás Keleti, James Cumberbatch, Jialin Zhang: Hausdorff dimension of union of lines that cover a curve, elfogadva, Pure and Applied Functional Analysis, 2022
M. Laczkovich: Quadrilateral reptiles, to appear in Beitrage zur Algebra und Geometrie, arXiv: 2205.11068, 2022
I. Altaf, M. Csörnyei, K. Héra: Hausdorff dimension of Besicovitch sets of Cantor graphs, submitted to Mathematika, arXiv: 2208.12687, 2022
A. Ambrus, M. Csikos, G. Kiss, J. Pach, G. Somlai: Optimal embedded and enclosing isosceles triangles, submitted to Int. J. Found. Comput., (2022), 2022
P. Burai, G. Kiss, P. Szokol: A dichotomy result for strictly increasing bisymmetric maps, submitted to Journal of Mathematical Analysis and Applications, (2022), 2022
G. Kiss, J. Schwaiger: Sincov's and other functional equations and negative interest rates, submitted to Aequationes Mathematicae, (2022), 2022
E. Gselmann, G. Kiss: Polynomial equations for additive functions I., submitted to Journal of Algebra, (2022), 2022
S. Brandt, Y. Chang, J. Grebik, C. Grunau, V. Rozhon, Z. Vidnyánszky: Deterministic Distributed algorithms and Descriptive Combinatorics on \Delta-regular trees, submitted to J. Eur. Math. Soc., 2022
J. Grebik, Z. Vidnyánszky: Ramsey, expanders, and Borel chromatic numbers, submitted to J. Math. Logic, 2022
M. Poór, S. Shelah: Universal graphs between a strong limit singular and its power, submitted (TAMS), 2022
J. Devillet, G. Kiss, J-L Marichal: Charaterizations of quasitrivial symmetric nondecreasing associative operations, Semigroup Forum 98 (2019) 154-171., 2019
J. Devillet, G. Kiss: Charaterizations of biselective operations, Acta Math. Hung. 157 (2019) 387–407., 2019
E. Gselmann, G. Kiss, Cs. Vincze: Characterization of field homomorphisms through Pexiderized functional equations, Journal of Difference Equations and Applications, 2019
Z. Buczolich, B. Hanson, M. Rmoutil, T. Zürcher: On sets where lip f is finite, Studia Math. 249 (2019), no. 1, 33–58., 2019
Z. Buczolich and G. Keszthelyi: Isentropes and Lyapunov exponents, Discrete and Continuous Dynamical Systems 40, no. 4, (2020) pp. 1989–2009, 2019
Z. Buczolich, B. Hanson, B. Maga, G. Vértesy: Type 1 and 2 sets for series of translates of functions, Acta Math. Hungar. 158 (2019), no. 2, 271–293., 2019
M. Laczkovich: A characterization of generalized exponential polynomials in terms of decomposable functions, Acta Math. Hungar. 158 (2) (2019), 338-351., 2019
U. B. Darji, M. Elekes, K. Kende, V. Kiss, Z. Vidnyanszky: The structure of random automorphisms of countable structures, Trans. Amer. Math. Soc., 371 (2019) 8829–8848., 2019
R. Carroy, Y. Pequignot, Z. Vidnyanszky: Embeddability on functions: order and chaos, Trans. Amer. Math. Soc. 371 (2019) 6711–6738., 2019
P. Komjath , I. Leader, P. A. Russell, S. Shelah, D. T. Soukup, Z. Vidnyanszky: Infinite monochromatic sumsets for colourings of the reals, Proc. Amer. Math. Soc.,147 (2019) 2673–2684., 2019
B. D. Miller, Z. Vidnyanszky: On the existence of large antichains for definable quasi-orders, elfogadva, J. Symb. Logic, 2019
M. Poór: Small-large subgroups of locally compact Abelian Polish groups, Journal of Mathematical Analysis and Applications Volume 478, Issue 2, 15 October 2019, Pages 345-356., 2019
M. Elekes, D. Nagy, M. Poór and Z. Vidnyánszky: A Haar meager set that is not strongly Haar meager, Israel Journal of Mathematics, elfogadva, 2019
M. Elekes and D. Nagy: Haar null and Haar meager sets: a survey and new results, Accepted for publication in the Bulletin of the London Mathematical Society, 2020
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random homeomorphisms, accepted, Israel J. Math, 2019
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random automorphisms of the rational numbers, accepted, Fund. Math., 2019
V. Kiss: A game characterizing Baire class 1 functions, accepted, J. Symb. Log., 2019
T. Keleti, P. Shmerkin: New bounds on the dimensions of planar distance sets, Geom. Funct. Anal. 29, 1886–1948, 2019
M. Laczkovich: Continuous solutions of the equation x+g(y+f(x))=y+g(x+f(y)), Aequationes Math. 93 (2019), no. 6, 1139-1157, 2019
Z. Buczolich, B. Maga and Ryo Moore: Generic Birkhoff Spectra, To appear in Discrete and Continuous Dynamical Systems, 2020
Zoltán Buczolich, Bruce Hanson, Balázs Maga and Gáspár Vértesy: Big and little Lipschitz one sets, submitted, 2020
Z. Buczolich, B. Hanson, B. Maga, G. Vértesy: Lipschitz one sets modulo sets of measure zero, to appear in Mathematica Slovaca, 2020
Zoltán Buczolich, Bruce Hanson, Balázs Maga, Gáspár Vértesy: Characterization of lip sets, submitted, 2020
Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, Tamás Keleti and Tuomas Pöyhtäri: Fractal percolation is unrectifiable, submitted, 2020
M. Laczkovich: The Levi-Civita equation in function classes, Aequationes Math., közlésre elfogadva, 2020
M. Laczkovich: Rational points of some elliptic curves related to the tilings of the equilateral triangle, Discrete and Computational Geometry, közlésre elfogadva., 2020
M. Laczkovich: Irregular tilings of regular polygons with similar triangles, benyújtva a Discrete and Computational Geometry-hez, 2020
M. Elekes, M. Poór: Cardinal invariants of Haar null and Haar meager sets, benyújtva, 2020
M. Poór: On the spectra of cardinalities of branches of Kurepa trees, Archive for Math Logic, elfogadva, 2020
K. Héra, P. Shmerkin, A. Yavicoli: An improved bound for the dimension of (α,2α)-Furstenberg sets, előkészületben, 2020
K. Héra: Hausdorff dimension of Furstenberg-type sets associated to families of affine subspaces, Ann. Acad. Sci. Fenn. Math. 44, (2019), 903–923., 2019
E. Gselmann, G. Kiss, Cs. Vincze: On a class of linear functional equations without range condition, accepted at Aequationes Math., 2020
G. Kiss, J-L. Marichal: On the best constants associated with n-distances, accepted at Acta Math. Hung., 2020
G. Kiss, G. Somlai: Fuglede's conjecture holds on (Zp)2×Zq, submitted to Proceedings of AMS, 2020
E. Gselmann, G. Kiss: Remarks on the notion of homo-derivations, submitted at Annales Univ. Sci. Budapest., Sec. Math., 2020
D. Nagy: Substituting the typical compact sets into a power series, in preparation, 2020
Frank Coen, Nate Gillman, Tamás Keleti, Dylan King, Jennifer Zhu: Large Sets with Small Injective Projections, submitted, 2020
R. Carroy, B. D. Miller, D. Schrittesser, Vidnyanszky Z.: Minimal definable graphs of definable chromatic number at least three, benyujtva, Forum of Math. Sigma, 2020
R. Carroy, B. D. Miller, Vidnyanszky Z.: On the existence of small antichains for definable quasi-orders, benyujtva, J. Math. Logic, 2020
G. Kiss. M. Laczkovich: Derivations and differential operators on rings and fields, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 48 (2018) 31–43., 2018
J. Devillet, G. Kiss, J-L Marichal: Charaterizations of quasitrivial symmetric nondecreasing associative operations, Semigroup Forum 98 (2019) 154-171., 2019
J. Devillet, G. Kiss: Charaterizations of biselective operations, Acta Math. Hung. 157 (2019) 387–407., 2019
G. Kiss, R. D. Malikiosis, G. Somlai, M. Vizer: On the discrete Pompeiu and Fuglede problems, Analysis & PDE 13 (3), 765-788, 2020
E. Gselmann, G. Kiss, Cs. Vincze: Characterization of field homomorphisms through Pexiderized functional equations, Journal of Difference Equations and Applications 25, 1645-1679, 2019
M. Poór: Answer to a question of Roslanowski and Shelah, J. Math. Logic, elfogadva, 2019
M. Elekes, D. Nagy, M. Poór and Z. Vidnyánszky: A Haar meager set that is not strongly Haar meager, Israel J. Math. 235 (2020), 91–109., 2020
M. Elekes and D. Nagy: Haar null and Haar meager sets: a survey and new results, Bull. Lond. Math. Soc. 52 (2020), no. 4, 561--619., 2020
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random homeomorphisms, Israel J. Math. 237, no. 1, 75--113., 2020
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random automorphisms of the rational numbers, Fund. Math. 250 (2020), no. 1, 1--20., 2020
V. Kiss: A game characterizing Baire class 1 functions, J. Symb. Log. 85 (2020), no. 1, 456--466., 2020
Z. Buczolich, B. Maga and Ryo Moore: Generic Birkhoff Spectra, Discrete & Continuous Dynamical Systems - A 2020, 40(12): 6649-6679, 2020
Z. Buczolich, B. Hanson, B. Maga, G. Vértesy: Lipschitz one sets modulo sets of measure zero, Math. Slovaca 70 (2020), no. 3, 567–584., 2020
Zoltán Buczolich, Bruce Hanson, Balázs Maga, Gáspár Vértesy: Characterization of lip sets, J. Math. Anal. Appl. 489 (2020), no. 2, 124175, 11 pp., 2020
M. Laczkovich: The Levi-Civita equation in function classes, Aequationes Math. 94 (2020), 689-701., 2020
M. Laczkovich: Rational points of some elliptic curves related to the tilings of the equilateral triangle, Discrete and Computational Geometry 64 (3) (2020), 985-994., 2020
M. Laczkovich: Irregular tilings of regular polygons with similar triangles, Discrete and Computational Geometry, elfogadva, 2020
M. Elekes, M. Poór: Cardinal invariants of Haar null and Haar meager sets, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2020
M. Poór: On the spectra of cardinalities of branches of Kurepa trees, Archive for Math Logic, to appear, 2020
K. Héra, P. Shmerkin, A. Yavicoli: An improved bound for the dimension of (α,2α)-Furstenberg sets, benyújtva, Revista Matemática Iberoamericana, 2020
E. Gselmann, G. Kiss, Cs. Vincze: On a class of linear functional equations without range condition, Aequationes Math. 94, 473–509, 2020
G. Kiss, J-L. Marichal: On the best constants associated with n-distances, Acta Math. Hung. 161 (1), 341-365, 2020
E. Gselmann, G. Kiss: Remarks on the notion of homo-derivations, Annales Univ. Sci. Budapest., Sect. Comp. 51, 111–130, 2020
D. Nagy: Substituting the typical compact sets into a power series, Real Analysis Exchange, elfogadva, 2020
Frank Coen, Nate Gillman, Tamás Keleti, Dylan King, Jennifer Zhu: Large Sets with Small Injective Projections, Ann. Acad. Sci. Fenn. Math., to appear, 2020
R. Carroy, B. D. Miller, D. Schrittesser, Vidnyanszky Z.: Minimal definable graphs of definable chromatic number at least three, elfogadva, Forum of Math. Sigma, 2020
R. Carroy, B. D. Miller, Vidnyanszky Z.: On the existence of small antichains for definable quasi-orders, elfogadva, J. Math. Logic, 2020
V. Kiss, S. Solecki: Random continuum and Brownian motion, submitted, 2020
V. Kiss, L. Levine, L. Tóthmérész: The devil's staircase for chip-firing on random graphs and on graphons, submitted, 2020
G. Kiss, J. Pach, G. Somlai: Minimum area isosceles containers, accepted at Journal of Information Processing, 2020
G. Kiss, R. D. Malikiosis, G. Somlai, M. Vizer: Fuglede's conjecture holds for cyclic groups of order pqrs, submitted to International Mathematics Research Notices, 2020
M. Laczkovich: Vector valued polynomials, exponential polynomials and vector valued harmonic analysis, Results in Mathematics 75 (2020), No. 4, article 150., 2020
M. Laczkovich: Tilings of the regular N-gon with triangles of angles \pi /N, \pi /N, (N-2)\pi/N for N=5, 8, 10 and 12, Computational Geometry: Theory and Applications 92, 2021
M. Laczkovich: The solvability cardinal of the class of polynomials, submitted, 2020
M. Laczkovich: Numbers sticking together (mod N), submitted, 2020
T. Kátay: The intersection of typical Besicovitch sets with lines, Real Anal. Exchange 45 (2020) , no. 2, 453-464., 2020
M. Poór, S. Shelah: Characterizing the spectra of cardinalities of branches of Kurepa trees, to appear in Pac. J. Math., 2020
Todorcevic, S. Vidnyánszky Z.: A complexity problem for Borel graphs, Invent. Math., benyujtva, 2019
Grebik, J., Vidnyánszky Z.: Tall F_\sigma subideals of tall analytic ideals, Proc. Amer. Math. Soc., benyújtva, 2020
L. Grabowski, A. Máthé and O. Pikhurko: Measurable equidecompositions for group actions with an expansion property, J. Eur. Math. Soc., 2020
Elekes, M., Flesch, J., Kiss, V., Nagy, D., Poór, M., Predtetchinski, A.: Games characterizing limsup functions and Baire class 1 functions, submitted to J. Symb. Logic, 2020
Balka, R., Elekes, M., Kiss, V., Poór, M.: Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms, submitted to Adv. Math., 2020
Balka, R., Elekes, M., Kiss, V., Nagy, D., Poór, M.: Compact sets with large projections and nowhere dense sumset, submitted to Math. Z., 2020
M. Poór: Answer to a question of Roslanowski and Shelah, Journal of mathematical logic 21 (2021) no. 3 38 p., 2021
Zoltán Buczolich, Bruce Hanson, Balázs Maga and Gáspár Vértesy: Big and little Lipschitz one sets, Eur. J. Math. 7 (2021), no. 2, 464–488., 2021
Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, Tamás Keleti and Tuomas Pöyhtäri: Fractal percolation is unrectifiable, Adv. Math. 390 (2021), Paper No. 107906, 61 pp., 2021
M. Laczkovich: Irregular tilings of regular polygons with similar triangles, Discrete and Computational Geometry, 66 (4) (2021), 1239-1261., 2021
M. Poór: On the spectra of cardinalities of branches of Kurepa trees, Archive for Mathematical Logic 60 (2021) no. 7, pp. 927-966, 2021
K. Héra, P. Shmerkin, A. Yavicoli: An improved bound for the dimension of (α,2α)-Furstenberg sets, Revista Matemática Iberoamericana, published online, 2021, DOI: 10.4171/RMI/1281, 2021
G. Kiss, G. Somlai: Fuglede's conjecture holds on (Zp)2×Zq, Proc. Amer. Math. Soc. 149 (2021), 4181-4188., 2021
D. Nagy: Substituting the typical compact sets into a power series, Real Analysis Exchange, 46 (1), 149-162, (2021), 2021
Frank Coen, Nate Gillman, Tamás Keleti, Dylan King, Jennifer Zhu: Large Sets with Small Injective Projections, Ann. Fenn. Math. 46 (2021), 683-702., 2021
R. Carroy, B. D. Miller, D. Schrittesser, Vidnyanszky Z.: Minimal definable graphs of definable chromatic number at least three, Forum of Mathathematics Sigma, 9 (2021) e7., 2021
R. Carroy, B. D. Miller, Vidnyanszky Z.: On the existence of small antichains for definable quasi-orders, Journal of Mathematical Logic 21 (2):2150005 (2021), 2020
V. Kiss, S. Solecki: Random continuum and Brownian motion, Bull. Lond. Math. Soc. 53, no. 5, 1376--1389., 2021
G. Kiss, J. Pach, G. Somlai: Minimum area isosceles containers, Journal of Information Processing, Vol.26 1–8,, 2020
G. Kiss, R. D. Malikiosis, G. Somlai, M. Vizer: Fuglede's conjecture holds for cyclic groups of order pqrs, submitted to Journal Fourier Analysis and Applications, 2020
M. Laczkovich: The solvability cardinal of the class of polynomials, Aequationes Math. 95 (2021), 1195-1219., 2021
M. Laczkovich: Numbers sticking together (mod N), Annales Univ. Sci. Budapest R. Eotvos Nom. 64 (2021), 5-14., 2021
M. Poór, S. Shelah: Characterizing the spectra of cardinalities of branches of Kurepa trees, Pacific Journal of Mathematics, Vol. 311 (2021) No.2, pp. 423–453, 2021
Todorcevic, S. Vidnyánszky Z.: A complexity problem for Borel graphs, nventiones mathematicae volume 226, pages 225–249 (2021), 2021
Balka, R., Elekes, M., Kiss, V., Poór, M.: Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms, Advances in Mathematics Volume 385, 16 July 2021, 2021
R. Balka, M. Elekes, V. Kiss: Stability and measurability of the modified lower dimension, Proc. Amer. Math. Soc., accepted, 2022
M. Laczkovich: A superposition theorem of Kolmogorov type for bounded continuous functions, J. of Approximation Theory 269 (2021), Paper No. 105609, 9 pp., 2021
M. Laczkovich, I. Vasenov: Tiling of regular polygons with similar right triangles, submitted, 2021
G. Kiss, M. Laczkovich: Translation invariant linear spaces of polynomials, submitted, 2021
T. Fallon, G. Kiss, G. Somlai: Spectral sets and tiles in Z^2_p×Z^2_q, submitted, 2021
P. Burai, G. Kiss, P. Szokol: Characterization of quasi-arithmetic means without regularity condition, Acta Math. Hung. 165, 474-485, 2021
G. Kiss, G. Somlai: Special directions on the finite affine plane, submitted, 2021
G. Kiss, J-L. Marichal: Nonstandard n-distances based on certain geometric constructions, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry (2022), published online, 2022
G. Kiss, T. Titkos: Isometric rigidity of Wasserstein spaces: the graph metric case, Proc. Amer. Math. Soc, 2022
Zoltán Buczolich, Bruce Hanson, Balázs Maga, Gáspár Vértesy: Strong one-sided density without uniform density, accepted to appear in Periodica Mathematica Hungarica, 2021
Zoltán Buczolich, Balázs Maga, Gáspár Vértesy: Generic Hölder level sets on Fractals, submitted, 2021
Zoltán Buczolich, Balázs Maga, Gáspár Vértesy: Generic Hölder level sets and fractal conductivity, submitted, 2021
Zoltán Buczolich, Gunther Leobacher and Alexander Steinicke: Continuous functions with impermeable graphs, submitted, 2021
K. Héra, T. Keleti, A. Máthé: A Fubini type theorem for Hausdorff dimension, submitted, 2021
G. Keszthelyi, H. Bruin: On co-sigma-porosity of the parameters with dense critical orbits for skew tent maps and matching on generalised beta-transformations, Indagationes Mathematicae on 23 November 2021 (ISSN: 0019-3577), 2021
J. Frisch, A.S. Kechris, F. Shinko, Vidnyanszky Z.: Realizations of countable Borel equivalence relations, submitted, 2021
S. Brandt, Y. Chang, J. Grebik, C. Grunau, V. Rozhon, Vidnyanszky Z: Local Problems on Trees from the Perspectives of Distributed Algorithms, Finitary Factors, and Descriptive Combinatorics, elfogadva, Conference on Innovations in Theoretical Computer Science, 2021
S. Brandt, Y. Chang, J. Grebik, C. Grunau, V. Rozhon, Vidnyanszky Z: On homomorphism graphs, submitted, 2021
A. Medini, Vidnyanszky Z: Zero-dimensional \sigma-homogeneous spaces, elfogadva, Annals of Pure and Applied Logic, 2021
M. Elekes, B. Gehér, K. Kanalas, T. Kátay and T. Keleti: Generic countably infinite groups, submitted, 2021
G. Kiss. M. Laczkovich: Derivations and differential operators on rings and fields, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 48 (2018) 31–43., 2018
J. Devillet, G. Kiss, J-L Marichal: Charaterizations of quasitrivial symmetric nondecreasing associative operations, Semigroup Forum, Published online, https://doi.org/10.1007/s00233-018-9980-z, 2018
J. Devillet, G. Kiss: Charaterizations of biselective operations, Acta Mathematica Hungarica, Published online, https://doi.org/10.1007/s10474-018-0897-5, 2018
G. Kiss, R. D. Malikiosis, G. Somlai, M. Vizer: On the discrete Pompeiu and Fuglede problems, accepted, Analysis & PDE, 2018
E. Gselmann, G. Kiss, Cs. Vincze: Characterization of field homomorphisms through Pexiderized functional equations, submitted, Arxiv, 2019
Z. Buczolich, B. Hanson, M. Rmoutil, T. Zürcher: On sets where lip f is finite, accepted, Studia Math, 2018
Z. Buczolich and G. Keszthelyi: Isentropes and Lyapunov exponents, submitted, Arxiv, 2019
Z. Buczolich, B. Maga, G. Vértesy: On Series of Translates of Positive Functions. III, ANALYSIS MATHEMATICA (ISSN: 0133-3852) (eISSN: 1588-273X) 44: (2) pp. 185-205., 2018
Z. Buczolich, H. Bruce, B. Maga, G. Vértesy: Random constructions for translates of non-negative functions, J. Math. Anal. Appl. 468 (2018), no. 1, 491–505., 2018
Z. Buczolich, B. Hanson, B. Maga, G. Vértesy: Type 1 and 2 sets for series of translates of functions, submitted, Arxiv, 2019
M. Laczkovich: A characterization of generalized exponential polynomials in terms of decomposable functions, submitted, 2019
U. B. Darji, M. Elekes, K. Kende, V. Kiss, Z. Vidnyanszky: The structure of random automorphisms of countable structures, accepted, Trans. Amer. Math. Soc., 2018
R. Carroy, Y. Pequignot, Z. Vidnyanszky: Embeddability on functions: order and chaos, accepted, Trans. Amer. Math. Soc., 2018
P. Komjath , I. Leader, P. A. Russell, S. Shelah, D. T. Soukup, Z. Vidnyanszky: Infinite monochromatic sumsets for colourings of the reals, accepted, Proceedings of the American Mathematical Society, 2018
B. D. Miller, Z. Vidnyanszky: On the existence of large antichains for definable quasi-orders, submitted, Arxiv, 2019
K. Héra: Hausdorff dimension of Furstenberg-type sets associated to families of affine subspaces, submitted, Arxiv, 2019
M. Poór: Answer to a question of Roslanowski and Shelah, submitted, Arxiv, 2019
M. Poór: Small-large subgroups in locally compact Abelian Polish groups, submitted, Arxiv, 2019
M. Elekes, D. Nagy, M. Poór and Z. Vidnyánszky: A Haar meager set that is not strongly Haar meager, submitted, Arxiv, 2019
M. Elekes and D. Nagy: Haar null and Haar meager sets: a survey and new results, submitted, Arxiv, 2019
Balka R.: Packing dimension of images and graphs of Gaussian random fields with drift, submitted, Arxiv, 2019
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random homeomorphisms, submitted, Arxiv, 2019
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random automorphisms of the rational numbers, submitted, Arxiv, 2019
V. Kiss: A game characterizing Baire class 1 functions, submitted, Arxiv, 2019
T. Keleti, P. Shmerkin: New bounds on the dimensions of planar distance sets, submitted, Arxiv, 2019
U. B. Darji, M. Elekes, K. Kalina, V. Kiss, Z. Vidnyánszky: The structure of random automorphisms of the random graph, submitted, Arxiv, 2019
M. Laczkovich: Continuous solutions of the equation x+g(y+f(x))=y+g(x+f(y)), accepted, Aequationes Math., 2018




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