@article{MTMT:34741100,
	title = {Matrix Kloosterman sums modulo prime powers},
	url = {https://m2.mtmt.hu/api/publication/34741100},
	author = {Erdélyi, Márton Kristóf and Tóth, Árpád and Zábrádi, Gergely},
	doi = {10.1007/s00209-024-03467-y},
	journal-iso = {MATH Z},
	journal = {MATHEMATISCHE ZEITSCHRIFT},
	volume = {306},
	unique-id = {34741100},
	issn = {0025-5874},
	abstract = {We give optimal bounds for matrix Kloosterman sums modulo prime powers extending earlier work of the first two authors on the case of prime moduli. These exponential sums arise in the theory of the horocyclic flow on GL_n G L n .},
	year = {2024},
	eissn = {1432-8232},
	orcid-numbers = {Zábrádi, Gergely/0000-0002-7293-3569}
}

@article{MTMT:34429446,
	title = {Tiling and weak tiling in (Zp)d},
	url = {https://m2.mtmt.hu/api/publication/34429446},
	author = {Kiss, Gergely and Matolcsi, Dávid and Matolcsi, Máté and Somlai, Gábor},
	doi = {10.1007/s43670-023-00073-7},
	journal-iso = {Sampl. Theory Signal Process. Data Anal.},
	journal = {Sampling Theory, Signal Processing, and Data Analysis},
	volume = {22},
	unique-id = {34429446},
	issn = {2730-5716},
	abstract = {We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary p -groups (\mathbb {Z}_p)^d ( Z p ) d , we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions which can be regarded as a common generalization of tiles and spectral sets. We characterize such 4-tuples for d=1, 2 d = 1 , 2 , and prove some partial results for d=3 d = 3 .},
	year = {2024},
	eissn = {2730-5724},
	orcid-numbers = {Matolcsi, Máté/0000-0003-4889-697X; Somlai, Gábor/0000-0001-5761-7579}
}

@article{MTMT:34140740,
	title = {Measures of morphological complexity of microalgae and their linkage with organism size},
	url = {https://m2.mtmt.hu/api/publication/34140740},
	author = {Lerf, Verona and Borics, Gábor and Tóth, István and Kisantal, Tibor and Lukács, Áron and Tóthmérész, Béla and Buczolich, Zoltán and Bárány, Balázs and Végvári, Zsolt and Török-Krasznai, Enikő},
	doi = {10.1007/s10750-023-05338-9},
	journal-iso = {HYDROBIOLOGIA},
	journal = {HYDROBIOLOGIA},
	volume = {851},
	unique-id = {34140740},
	issn = {0018-8158},
	abstract = {In phytoplankton ecology the shape of microalgae appears predominantly as a categorical variable. Using shape-realistic 3D models of 220 microalgae we proposed and calculated six shape metrics and tested how these relate to each other and to the size of the microalgae. We found that some of the metrics are more sensitive to elongation, while others are related to multicellularity. We found a linear relationship between shape measures and the greatest axial linear dimensions of the microalgae. Our findings suggest that there is an evolutionary trade-off between the shape and size of the microalgae. It is important to stress that we found that surface area to volume ratio of the microalgae are hyperbolic functions of the length and volume for each shape. In our study, we demonstrated that the proposed shape metrics serve as suitable quantitative traits, and help to understand better how simple shapes evolved to more complex outlines.},
	keywords = {Fractal dimension; Surface-to-volume ratio; compactness; sphericity; Length/width ratio},
	year = {2024},
	eissn = {1573-5117},
	pages = {751-764},
	orcid-numbers = {Tóthmérész, Béla/0000-0002-4766-7668; Buczolich, Zoltán/0000-0001-5481-8797; Bárány, Balázs/0000-0002-0129-8385}
}

@article{MTMT:33676139,
	title = {Additive Combinatorics Using Equivariant Cohomology},
	url = {https://m2.mtmt.hu/api/publication/33676139},
	author = {Fehér, László and Nagy, János},
	journal-iso = {ISR J MATH},
	journal = {ISRAEL JOURNAL OF MATHEMATICS},
	volume = {accepted},
	unique-id = {33676139},
	issn = {0021-2172},
	abstract = {We introduce a geometric method to study additive combinatorial problems. Using equivariant cohomology we reprove the Dias da Silva-Hamidoune theorem. We improve a result of Sun on the linear extension of the Erdős-Heilbronn conjecture. We generalize a theorem of G. Kós (the Grashopper problem) which in some sense is a simultaneous generalization of the Erdős-Heilbronn conjecture. We also prove a signed version of the Erdős-Heilbronn conjecture and the Grashopper problem. Most identities used are based on calculating the projective degree of an algebraic variety in two different ways.},
	year = {2024},
	eissn = {1565-8511},
	pages = {&},
	orcid-numbers = {Fehér, László/0000-0003-0219-1915}
}

@misc{MTMT:34202958,
	title = {The CSP Dichotomy, the Axiom of Choice, and Cyclic Polymorphisms},
	url = {https://m2.mtmt.hu/api/publication/34202958},
	author = {Kátay, Tamás and Tóth, László Márton and Vidnyánszky, Zoltán},
	unique-id = {34202958},
	abstract = {We study Constraint Satisfaction Problems (CSPs) in an infinite context. We show that the dichotomy between easy and hard problems -- established already in the finite case -- presents itself as the strength of the corresponding De Bruijin-Erdős-type compactness theorem over ZF. More precisely, if D is a structure, let KD stand for the following statement: for every structure X if every finite substructure of X admits a solution to D, then so does X. We prove that if D admits no cyclic polymorphism, and thus it is NP-complete by the CSP Dichotomy Theorem, then KD is equivalent to the Boolean Prime Ideal Theorem (BPI) over ZF. Conversely, we also show that if D admits a cyclic polymorphism, and thus it is in P, then KD is strictly weaker than BPI.},
	year = {2023}
}

@article{MTMT:34188449,
	title = {On a problem of Angelo Bella},
	url = {https://m2.mtmt.hu/api/publication/34188449},
	author = {Juhász, István and Soukup, Lajos and Szentmiklóssy, Zoltán},
	doi = {10.1016/j.topol.2023.108714},
	journal-iso = {TOPOL APPL},
	journal = {TOPOLOGY AND ITS APPLICATIONS},
	volume = {340},
	unique-id = {34188449},
	issn = {0166-8641},
	year = {2023},
	eissn = {1879-3207},
	orcid-numbers = {Soukup, Lajos/0000-0002-3975-0293}
}

@article{MTMT:34126755,
	title = {Compact sets with large projections and nowhere dense sumset},
	url = {https://m2.mtmt.hu/api/publication/34126755},
	author = {Balka, Richárd and Elekes, Márton and Kiss, Viktor and Nagy, Donát and Poór, Márk},
	doi = {10.1088/1361-6544/acebae},
	journal-iso = {NONLINEARITY},
	journal = {NONLINEARITY},
	volume = {36},
	unique-id = {34126755},
	issn = {0951-7715},
	abstract = {We answer a question of Banakh, Jabłońska and Jabłoński by showing that for d ⩾ 2 there exists a compact set K ⊆ R d such that the projection of K onto each hyperplane is of non-empty interior, but K  +  K is nowhere dense. The proof relies on a random construction. A natural approach in the proofs is to construct such a K in the unit cube with full projections, that is, such that the projections of K agree with that of the unit cube. We investigate the generalization of these problems for projections onto various dimensional subspaces as well as for ℓ -fold sumsets. We obtain numerous positive and negative results, but also leave open many interesting cases. We also show that in most cases if we have a specific example of such a compact set then actually the generic (in the sense of Baire category) compact set in a suitably chosen space is also an example. Finally, utilizing a computer-aided construction, we show that the compact set in the plane with full projections and nowhere dense sumset can be self-similar.},
	year = {2023},
	eissn = {1361-6544},
	pages = {5190-5215},
	orcid-numbers = {Elekes, Márton/0000-0002-5139-2169}
}

@{MTMT:34046344,
	title = {Szimpliciális komplexus. a valós projektív tér háromszögelése},
	url = {https://m2.mtmt.hu/api/publication/34046344},
	author = {Bali, János and Fehér, László and Peternák, Zsigmond},
	unique-id = {34046344},
	abstract = {műalkotásunk nem a bambuszpálcikákból összedrótozott, a mennyezetről függő tárgy. Nem a falra függesztett szénrajz. Nem a videók. Nem is ezek együttese: mindezek csak lenyomatai, tárgyi emlékei dialógusok sorozatának, ami főleg két matematikus, Fehér László és Bali János között zajlanak régóta, de kinyíltak a Hermina művészcsoport belső dialógusa felé, végül pedig közvetlenül, egy telefonhívással bevonták a videóművész Peternák Zsigmondot is. Folytatódtak a tárgy elkészülte után is, és remélhetőleg folytatódni fognak a kiállítással bármilyen módon kapcsolatba kerülőkben is.
		
		A tárgy és a rajzok, a műcím szavai szimbolikusak. De senki ne keressen bennük bármiféle kódolt szimbolikus üzenetet: egyszerűen hordozzák kiterjedt szimbolikus hátországukat, interferálnak a matematikai, pszichológiai, köznapi tapasztalatok, tér-élmények, absztrakciók és testi valóságok örömei.},
	year = {2023},
	orcid-numbers = {Fehér, László/0000-0003-0219-1915}
}

@article{MTMT:34040957,
	title = {TILING OF REGULAR POLYGONS WITH SIMILAR RIGHT TRIANGLES},
	url = {https://m2.mtmt.hu/api/publication/34040957},
	author = {Laczkovich, Miklós and Vasenov, Ivan},
	doi = {10.1216/rmj.2023.53.153},
	journal-iso = {ROCKY MT J MATH},
	journal = {ROCKY MOUNTAIN JOURNAL OF MATHEMATICS},
	volume = {53},
	unique-id = {34040957},
	issn = {0035-7596},
	year = {2023},
	eissn = {1945-3795},
	pages = {153-155}
}

@article{MTMT:34024227,
	title = {Continuous functions with impermeable graphs},
	url = {https://m2.mtmt.hu/api/publication/34024227},
	author = {Buczolich, Zoltán and Leobacher, Gunther and Steinicke, Alexander},
	doi = {10.1002/mana.202200268},
	journal-iso = {MATH NACHR},
	journal = {MATHEMATISCHE NACHRICHTEN},
	volume = {296},
	unique-id = {34024227},
	issn = {0025-584X},
	year = {2023},
	eissn = {1522-2616},
	pages = {4778-4805},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797; Leobacher, Gunther/0000-0002-7837-784X; Steinicke, Alexander/0000-0001-6330-0295}
}