@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:30767541,
	title = {Type 1 and 2 sets for series of translates of functions},
	url = {https://m2.mtmt.hu/api/publication/30767541},
	author = {Buczolich, Zoltán and Hanson, B. and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1007/s10474-019-00937-2},
	journal-iso = {ACTA MATH HUNG},
	journal = {ACTA MATHEMATICA HUNGARICA},
	volume = {158},
	unique-id = {30767541},
	issn = {0236-5294},
	abstract = {Suppose Lambda is a discrete infinite set of nonnegative real numbers. We say that Lambda is type 1 if the series s(x)=Sigma lambda is an element of Lambda f(x+lambda) satisfies a zero-one law. This means that for any non-negative measurable f:R ->[0,+infinity) either the convergence set C(f,Lambda)={x:s(x)<+infinity}=R modulo sets of Lebesgue zero, or its complement the divergence set D(f,Lambda)={x:s(x)=+infinity}=R modulo sets of measure zero. If Lambda is not type 1 we say that Lambda is type 2.The exact characterization of type 1 and type 2 sets is not known. In this paper we continue our study of the properties of type 1 and 2 sets. We discuss sub and supersets of type 1 and 2 sets and give a complete and simple characterization of a subclass of dyadic type 1 sets. We discuss the existence of type 1 sets containing infinitely many elements independent over the rationals. Finally, we consider unions and Minkowski sums of type 1 and 2 sets.},
	keywords = {Almost everywhere convergence; Borel-Cantelli lemma; Secondary 40A05; independence over the rationals; primary 28A20},
	year = {2019},
	eissn = {1588-2632},
	pages = {271-293},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}