@article{MTMT:32750764,
	title = {Strong one-sided density without uniform density},
	url = {https://m2.mtmt.hu/api/publication/32750764},
	author = {Buczolich, Zoltán and Hanson, Bruce and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1007/s10998-022-00455-9},
	journal-iso = {PERIOD MATH HUNG},
	journal = {PERIODICA MATHEMATICA HUNGARICA},
	volume = {86},
	unique-id = {32750764},
	issn = {0031-5303},
	year = {2023},
	eissn = {1588-2829},
	pages = {13-23},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:33124160,
	title = {Generic Hölder level sets and fractal conductivity},
	url = {https://m2.mtmt.hu/api/publication/33124160},
	author = {Buczolich, Zoltán and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1016/j.chaos.2022.112696},
	journal-iso = {CHAOS SOLITON FRACT},
	journal = {CHAOS SOLITONS & FRACTALS},
	volume = {164},
	unique-id = {33124160},
	issn = {0960-0779},
	year = {2022},
	eissn = {1873-2887},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@CONFERENCE{MTMT:33099660,
	title = {Valós analízisbeli problémák},
	url = {https://m2.mtmt.hu/api/publication/33099660},
	author = {Maga, Balázs},
	booktitle = {Intézményi ÚNKP Konferencia 2022},
	unique-id = {33099660},
	year = {2022},
	pages = {165}
}

@article{MTMT:33072066,
	title = {Generic Hölder level sets on fractals},
	url = {https://m2.mtmt.hu/api/publication/33072066},
	author = {Buczolich, Zoltán and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1016/j.jmaa.2022.126543},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {516},
	unique-id = {33072066},
	issn = {0022-247X},
	abstract = {Hausdorff dimensions of level sets of generic continuous functions defined on fractals were considered in two papers by R. Balka, Z. Buczolich and M. Elekes. In those papers the topological Hausdorff dimension of fractals was defined. In this paper we start to study level sets of generic 1-Hölder-α functions defined on fractals. This is related to some sort of “thickness”, “conductivity” properties of fractals. The main concept of our paper is D⁎(α,F) which is the essential supremum of the Hausdorff dimensions of the level sets of a generic 1-Hölder-α function defined on the fractal F. We prove some basic properties of D⁎(α,F), we calculate its value for an example of a “thick fractal sponge”, we show that for connected self similar sets D⁎(α,F) it equals the Hausdorff dimension of almost every level in the range of a generic 1-Hölder-α function. © 2022 The Author(s)},
	year = {2022},
	eissn = {1096-0813},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:32704811,
	title = {Generic power series on subsets of the unit disk},
	url = {https://m2.mtmt.hu/api/publication/32704811},
	author = {Maga, Balázs and Maga, Péter},
	doi = {10.21136/CMJ.2022.0021-21},
	journal-iso = {CZECH MATH J},
	journal = {CZECHOSLOVAK MATHEMATICAL JOURNAL},
	volume = {72},
	unique-id = {32704811},
	issn = {0011-4642},
	year = {2022},
	eissn = {1572-9141},
	pages = {637-652}
}

@inproceedings{MTMT:32627793,
	title = {Global Sinkhorn Autoencoder - Optimal transport on the latent representation of the full dataset},
	url = {https://m2.mtmt.hu/api/publication/32627793},
	author = {Gellert, Karolyi and Melinda, Kiss and Adrián, Csiszárik and Ákos, Matszangosz and Maga, Balázs and Dániel, Varga},
	booktitle = {Conference on Developments in Computer Science},
	unique-id = {32627793},
	year = {2021},
	pages = {199-202}
}

@article{MTMT:31981091,
	title = {Big and little Lipschitz one sets},
	url = {https://m2.mtmt.hu/api/publication/31981091},
	author = {Buczolich, Zoltán and Hanson, Bruce and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1007/s40879-021-00458-9},
	journal-iso = {EUR J MATH},
	journal = {EUROPEAN JOURNAL OF MATHEMATICS},
	volume = {7},
	unique-id = {31981091},
	issn = {2199-675X},
	year = {2021},
	eissn = {2199-6768},
	pages = {464-488},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@CONFERENCE{MTMT:31849361,
	title = {Attention U-net based adversarial architectures for chest X-ray lung segmentation},
	url = {https://m2.mtmt.hu/api/publication/31849361},
	author = {Gaál, G. and Maga, Balázs and Lukács, András},
	booktitle = {2020 Workshop on Applied Deep Generative Networks, ADGN 2020},
	volume = {2692},
	unique-id = {31849361},
	abstract = {X-ray is by far the most common among medical imaging modalities, being faster, more accessible, and more cost-effective compared to other radiographic methods. Chest X-ray (CXR) is the most commonly requested test due to its contribution to the early detection of lung cancer. The most important biomarker in detecting cancer of the lung are nodules, and in finding those, lung segmentation of chest X-rays is essential. Another goal is interpretability, helping radiologists integrate computer-aided detection methods into their diagnostic pipeline, greatly reducing their workload. For this reason, a robust algorithm to perform this otherwise arduous segmentation task is much desired in the field of medical imaging. In this work, we present a novel deep learning approach that uses state-of-the-art fully convolutional neural networks in conjunction with an adversarial critic model. Our network generalized well to CXR images of unseen datasets with different patient profiles, achieving a final DSC of 97.5% on the JSRT CXR dataset. Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0)},
	keywords = {diagnosis; DISEASES; Medical imaging; Cost effectiveness; X rays; Biological organs; Cost effective; Interpretability; X ray radiography; State of the art; LEARNING APPROACH; Computer aided detection; Convolutional neural networks; Deep learning; Imaging modality; Robust algorithm; lung segmentation},
	year = {2020},
	orcid-numbers = {Lukács, András/0000-0003-3955-9824}
}

@article{MTMT:31596965,
	title = {Generic Birkhoff spectra},
	url = {https://m2.mtmt.hu/api/publication/31596965},
	author = {Buczolich, Zoltán and Maga, Balázs and Moore, Ryo},
	doi = {10.3934/dcds.2020131},
	journal-iso = {DISCRETE CONT DYN S},
	journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A},
	volume = {40},
	unique-id = {31596965},
	issn = {1078-0947},
	abstract = {Suppose that Omega = {0, 1}(N) and sigma is the one-sided shift. The Birkhoff spectrum S-f(alpha) = dim(H) {omega is an element of Omega : lim(N ->infinity) 1/N Sigma(N)(n=1) f(sigma(n)omega) = alpha} where dim H is the Hausdorff dimension. It is well-known that the support of S-f(alpha) is a bounded and closed interval L-f = [alpha(f,min)* ,alpha(f,max)*]and S-f(alpha) on L-f is concave and upper semicontinuous. We are interested in possible shapes/properties of the spectrum, especially for generic/typical f is an element of C(Omega) in the sense of Baire category. For a dense set in C(Omega) the spectrum is not continuous on R, though for the generic f is an element of C(Omega) the spectrum is continuous on R, but has infinite one-sided derivatives at the endpoints of L-f. We give an example of a function which has continuous S-f on R, but with finite one-sided derivatives at the endpoints of L-f. The spectrum of this function can be as close as possible to a "minimal spectrum". We use that if two functions f and g are close in C(Omega) then S-f and S-g are close on L-f apart from neighborhoods of the endpoints.},
	keywords = {Hausdorff dimension; Multifractal analysis; Mathematics, Applied; Birkhoff spectrum; generic/typical continuous functions},
	year = {2020},
	eissn = {1553-5231},
	pages = {6649-6679},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:31350038,
	title = {LIPSCHITZ ONE SETS MODULO SETS OF MEASURE ZERO},
	url = {https://m2.mtmt.hu/api/publication/31350038},
	author = {Buczolich, Zoltán and Hanson, Bruce and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1515/ms-2017-0372},
	journal-iso = {MATH SLOVACA},
	journal = {MATHEMATICA SLOVACA},
	volume = {70},
	unique-id = {31350038},
	issn = {0139-9918},
	abstract = {We denote the local "little" and "big" Lipschitz functions of a function f : R -> R by lip f and Lip f. In this paper we continue our research concerning the following question. Given a set E subset of R is it possible to find a continuous function f such that lip f = 1(E) or Lip f = 1(E)? In giving some partial answers to this question uniform density type (UDT) and strong uniform density type (SUDT) sets play an important role. In this paper we show that modulo sets of zero Lebesgue measure any measurable set coincides with a Lip1 set. On the other hand, we prove that there exists a measurable SUDT set E such that for any G(delta) set (E) over tilde satisfying vertical bar E Delta(E) over tilde vertical bar = 0 the set (E) over tilde does not have UDT. Combining these two results we obtain that there exist Lip1 sets not having UDT, that is, the converse of one of our earlier results does not hold. (C) 2020 Mathematical Institute Slovak Academy of Sciences},
	keywords = {big and little lip functions},
	year = {2020},
	eissn = {1337-2211},
	pages = {567-584},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}