@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: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}
}

@article{MTMT:33755338,
	title = {Almost Everywhere Convergence Questions of Series of Translates of Non-Negative Functions},
	url = {https://m2.mtmt.hu/api/publication/33755338},
	author = {Buczolich, Zoltán},
	doi = {10.14321/realanalexch.48.1.1663223339},
	journal-iso = {REAL ANALYSIS EXCHANGE},
	journal = {REAL ANALYSIS EXCHANGE},
	volume = {48},
	unique-id = {33755338},
	issn = {0147-1937},
	year = {2023},
	pages = {49-76},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:33682478,
	title = {Measures, annuli and dimensions},
	url = {https://m2.mtmt.hu/api/publication/33682478},
	author = {Buczolich, Zoltán and Seuret, Stéphane},
	doi = {10.1007/s00209-023-03230-9},
	journal-iso = {MATH Z},
	journal = {MATHEMATISCHE ZEITSCHRIFT},
	volume = {303},
	unique-id = {33682478},
	issn = {0025-5874},
	abstract = {Given a Radon probability measure \mu μ supported in {\mathbb {R}}^d R d , we are interested in those points x around which the measure is concentrated infinitely many times on thin annuli centered at x . Depending on the lower and upper dimension of \mu μ , the metric used in the space and the thinness of the annuli, we obtain results and examples when such points are of \mu μ -measure 0 or of \mu μ -measure 1. The measure concentration we study is related to “bad points” for the Poincaré recurrence theorem and to the first return times to shrinking balls under iteration generated by a weakly Markov dynamical system. The study of thin annuli and spherical averages is also important in many dimension-related problems, including Kakeya-type problems and Falconer’s distance set conjecture.},
	year = {2023},
	eissn = {1432-8232},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@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}
}

@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:32216495,
	title = {Fractal percolation is unrectifiable},
	url = {https://m2.mtmt.hu/api/publication/32216495},
	author = {Buczolich, Zoltán and Järvenpää, Esa and Järvenpää, Maarit and Keleti, Tamás and Pöyhtäri, Tuomas},
	doi = {10.1016/j.aim.2021.107906},
	journal-iso = {ADV MATH},
	journal = {ADVANCES IN MATHEMATICS},
	volume = {390},
	unique-id = {32216495},
	issn = {0001-8708},
	year = {2021},
	eissn = {1090-2082},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797; Keleti, Tamás/0000-0003-4849-5287}
}

@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}
}

@article{MTMT:31965623,
	title = {Divergence of weighted square averages in L1},
	url = {https://m2.mtmt.hu/api/publication/31965623},
	author = {Buczolich, Zoltán and Eisner, Tanja},
	doi = {10.1016/j.aim.2021.107727},
	journal-iso = {ADV MATH},
	journal = {ADVANCES IN MATHEMATICS},
	volume = {384},
	unique-id = {31965623},
	issn = {0001-8708},
	year = {2021},
	eissn = {1090-2082},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}