TY  - JOUR
AU  - Buczolich, Zoltán
TI  - Almost Everywhere Convergence Questions of Series of Translates of Non-Negative Functions
JF  - REAL ANALYSIS EXCHANGE
J2  - REAL ANALYSIS EXCHANGE
VL  - 48
PY  - 2023
IS  - 1
SP  - 49
EP  - 76
PG  - 28
SN  - 0147-1937
DO  - 10.14321/realanalexch.48.1.1663223339
UR  - https://m2.mtmt.hu/api/publication/33755338
ID  - 33755338
N1  - Export Date: 9 May 2023            
            Correspondence Address: Buczolich, Z.; Department of Analysis, Pázmány Péter Sétány 1/c, Hungary; email: zoltan.buczolich@ttk.elte.hu            
            Funding details: Horizon 2020 Framework Programme, H2020, 741420            
            Funding details: European Research Council, ERC            
            Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, 124003            
            Funding text 1: 60F20Key words: almost everywhere convergence, asymptotically dense sets, Borel–Cantelli lemma, laws of large numbers, zero-one laws Received by the editors September 15, 2022 Communicated by: Paul D. Humke ∗The project leading to this application has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 741420). This author was also supported by the Hungarian National Research, Development and Innovation Office–NKFIH, Grant 124003 and at the time of part of the work on this paper was holding a visiting researcher position at the Rényi Institute.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, Christoph
AU  - Baker, Simon
TI  - On the pair correlations of powers of real numbers
JF  - ISRAEL JOURNAL OF MATHEMATICS
J2  - ISR J MATH
VL  - 242
PY  - 2021
IS  - 1
SP  - 243
EP  - 268
PG  - 26
SN  - 0021-2172
DO  - 10.1007/s11856-021-2130-4
UR  - https://m2.mtmt.hu/api/publication/32379535
ID  - 32379535
AB  - A classical theorem of Koksma states that for Lebesgue almost every x > 1 the sequence (x(n))n=1(infinity) is uniformly distributed modulo one. In the present paper we extend Koksma's theorem to the pair correlation setting. More precisely, we show that for Lebesgue almost every x > 1 the pair correlations of the fractional parts of (x(n))n=1(infinity) are asymptotically Poissonian. The proof is based on a martingale approximation method.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Drmota, Michael
AU  - Verwee, Johann
TI  - Effective Erdos-Wintner theorems for digital expansions
JF  - JOURNAL OF NUMBER THEORY
J2  - J NUMBER THEORY
VL  - 229
PY  - 2021
SP  - 218
EP  - 260
PG  - 43
SN  - 0022-314X
DO  - 10.1016/j.jnt.2021.04.006
UR  - https://m2.mtmt.hu/api/publication/32380655
ID  - 32380655
AB  - In 1972 Delange [9] observed in analogy of the classical Erdos-Wintner theorem that q -additive functions f (n) has a distribution function if and only if the two series Sigma f(dqj), Sigma f (dq(j))(2) converge. The purpose of this paper is to provide quantitative versions of this theorem as well as generalizations to other kinds of digital expansions. In addition to the qary and Cantor case we focus on the Zeckendorf expansion that is based on the Fibonacci sequence, where we provide a sufficient and necessary condition for the existence of a distribution function, namely that the two series Sigma f(F-j), Sigma f(F-j)(2) converge (previously only a sufficient condition was known [2]). (C) 2021 Elsevier Inc. All rights reserved.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Buczolich, Zoltán
AU  - Hanson, B.
AU  - Maga, Balázs
AU  - Vértesy, Gáspár
TI  - Type 1 and 2 sets for series of translates of functions
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 158
PY  - 2019
IS  - 2
SP  - 271
EP  - 293
PG  - 23
SN  - 0236-5294
DO  - 10.1007/s10474-019-00937-2
UR  - https://m2.mtmt.hu/api/publication/30767541
ID  - 30767541
N1  - Department of Analysis, ELTE Eötvös Loránd University, Pázmány Péter Sétány 1/c, Budapest, 1117, Hungary            
            Department of Mathematics, Statistics and Computer Science, St. Olaf College, Northfield, MN 55057, United States            
            Export Date: 19 September 2019            
            Correspondence Address: Buczolich, Z.; Department of Analysis, ELTE Eötvös Loránd University, Pázmány Péter Sétány 1/c, Hungary; email: buczo@cs.elte.hu            
            Funding text 1: Z. Buczolich thanks the R?nyi Institute where he was a visiting researcher for the academic year 2017-18. B. Hanson would like to thank the Fulbright Commission, the Budapest Semesters in Mathematics, and the R?nyi Institute for their generous support during the Spring of 2018, while he was visiting Budapest as a Fulbright scholar.
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Conze, J.-P.
AU  - Isola, S.
AU  - Le, Borgne S.
TI  - Diffusive behavior of ergodic sums over rotations
JF  - STOCHASTICS AND DYNAMICS
J2  - STOCH DYNAM
VL  - 19
PY  - 2019
IS  - 2
SN  - 0219-4937
DO  - 10.1142/S0219493719500163
UR  - https://m2.mtmt.hu/api/publication/30812628
ID  - 30812628
N1  - CNRS, IRMAR - UMR 6625, University of Rennes, Rennes, F-35000, France            
            Scuola di Scienze e Tecnologie, Universitá di Camerino, via Madonna delle Carceri, Camerino, 62032, Italy            
            Cited By :1            
            Export Date: 23 September 2019
AB  - For a rotation by an irrational α on the circle and a BV function φ, we study the variance of the ergodic sums S Lφ (x):=σ j=0 L-1 φ(x + jα). When α is not of constant type, we construct sequences (LN) such that, at some scale, the ergodic sums SLNφ satisfy an ASIP. Explicit non-degenerate examples are given with an application to the rectangular periodic billiard in the plane. © 2019 World Scientific Publishing Company.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Buczolich, Zoltán
AU  - Hanson, B
AU  - Maga, Balázs
AU  - Vértesy, Gáspár
TI  - Random constructions for translates of non-negative functions
JF  - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
J2  - J MATH ANAL APPL
VL  - 468
PY  - 2018
IS  - 1
SP  - 491
EP  - 505
PG  - 15
SN  - 0022-247X
DO  - 10.1016/j.jmaa.2018.08.030
UR  - https://m2.mtmt.hu/api/publication/3410311
ID  - 3410311
N1  - Funding Agency and Grant Number: Hungarian National Research, Development and Innovation Office-NKFIH [124003, 124749]; New National Excellence of the Hungarian Ministry of Human Capacities [UNKP-17-2, ELTE/12421/88]
            Funding text: Research supported by the Hungarian National Research, Development and Innovation Office-NKFIH, Grant 124003.; This author was supported by the UNKP-17-2 New National Excellence of the Hungarian Ministry of Human Capacities, ELTE/12421/88 (2017), and by the Hungarian National Research, Development and Innovation Office-NKFIH, Grant 124749.; This author was supported by the Hungarian National Research, Development and Innovation Office-NKFIH, Grant 124749.
Department of Analysis, ELTE Eötvös Loránd University, Pázmány Péter Sétány 1/c, Budapest, 1117, Hungary            
            Department of Mathematics, Statistics and Computer Science, St. Olaf College, Northfield, MN 55057, United States            
            Cited By :1            
            Export Date: 19 September 2019            
            Correspondence Address: Buczolich, Z.; Department of Analysis, ELTE Eötvös Loránd University, Pázmány Péter Sétány 1/c, Hungary; email: buczo@cs.elte.hu
AB  - Suppose A is a discrete infinite set of nonnegative real numbers. We say that A is type 2 if the series s(x) = Sigma lambda Lambda f (x + lambda) does not satisfy a zero-one law. This means that we can find a non-negative measurable "witness function" f : R -> [0,+ infinity) such that both the convergence set C(f, Lambda) ={x : s(x) < + infinity} and its complement the divergence set D (f, Lambda) = {x : s(x) = +infinity} are of positive Lebesgue measure. If Lambda is not type 2 we say that A is type 1. The main result of our paper answers a question raised by Z. Buczolich, J-P. Kahane, and D. Mauldin. By a random construction we show that one can always choose a witness function which is the characteristic function of a measurable set. We also consider the effect on the type of a set A if we randomly delete its elements. Motivated by results concerning weighted sums Sigma c(n)f(nx)and the Khinchin conjecture, we also discuss some results about weighted sums
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, C
AU  - Berkes, István
AU  - Seip, K
AU  - Weber, M
TI  - Convergence of series of dilated functions and spectral norms of GCD matrices
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 168
PY  - 2015
IS  - 3
SP  - 221
EP  - 246
PG  - 26
SN  - 0065-1036
DO  - 10.4064/aa168-3-2
UR  - https://m2.mtmt.hu/api/publication/2994059
ID  - 2994059
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, C
AU  - Berkes, István
AU  - Seip, K
TI  - GCD sums from Poisson integrals and systems of dilated functions
JF  - JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
J2  - J EUR MATH SOC
VL  - 17
PY  - 2015
IS  - 6
SP  - 1517
EP  - 1546
PG  - 30
SN  - 1435-9855
DO  - 10.4171/JEMS/537
UR  - https://m2.mtmt.hu/api/publication/2994061
ID  - 2994061
AB  - Upper bounds for GCD sums of the form (Formula Presented) are established, where (n<inf>k</inf>)1≤k≤N is any sequence of distinct positive integers and 0 < α ≤ 1; the estimate for α = 1/2 solves in particular a problem of Dyer and Harman from 1986, and the estimates are optimal except possibly for α = 1/2. The method of proof is based on identifying the sum as a certain Poisson integral on a polydisc; as a byproduct, estimates for the largest eigenvalues of the associated GCD matrices are also found. The bounds for such GCD sums are used to establish a Carleson - Hunt-type inequality for systems of dilated functions of bounded variation or belonging to Lip<inf>1/2</inf>, a result that in turn settles two longstanding problems on the a.e. behavior of systems of dilated functions: the a.e. growth of sums of the form (Formula Presented)=1 f(n<inf>k</inf>x) and the a.e. convergence of (Formula Presented)=1 c<inf>k</inf>f(n<inf>k</inf>x) when f is 1-periodic and of bounded variation or in Lip<inf>1/2</inf>. © European Mathematical Society 2015.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, Christoph
TI  - On some questions of VI Arnold on the stochasticity of geometric and arithmetic progressions
JF  - NONLINEARITY
J2  - NONLINEARITY
VL  - 28
PY  - 2015
IS  - 10
SP  - 3663
EP  - 3675
PG  - 13
SN  - 0951-7715
DO  - 10.1088/0951-7715/28/10/3663
UR  - https://m2.mtmt.hu/api/publication/25370501
ID  - 25370501
N1  - Export Date: 13 June 2022            
            Correspondence Address: Aistleitner, C.; Department of Mathematics and Statistics, 1-1 Rokkodai, Japan; email: aistleitner@math.tugraz.at
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
AU  - Kuri, N
TI  - The central limit theorem for complex Riesz-Raikov sums
JF  - COMPTES RENDUS MATHEMATIQUE
J2  - CR MATH
VL  - 353
PY  - 2015
IS  - 8
SP  - 749
EP  - 753
PG  - 5
SN  - 1631-073X
DO  - 10.1016/j.crma.2015.04.020
UR  - https://m2.mtmt.hu/api/publication/25263394
ID  - 25263394
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, C
TI  - Quantitative uniform distribution results for geometric progressions
JF  - ISRAEL JOURNAL OF MATHEMATICS
J2  - ISR J MATH
VL  - 204
PY  - 2014
IS  - 1
SP  - 155
EP  - 197
PG  - 43
SN  - 0021-2172
DO  - 10.1007/s11856-014-1080-5
UR  - https://m2.mtmt.hu/api/publication/26119245
ID  - 26119245
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Conze, J-P
AU  - Le Borgne, S
AU  - Roger, M
TI  - Central limit theorem for stationary products of toral automorphisms
JF  - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A
J2  - DISCRETE CONT DYN S
VL  - 32
PY  - 2012
IS  - 5
SP  - 1597
EP  - 1626
PG  - 30
SN  - 1078-0947
DO  - 10.3934/dcds.2012.32.1597
UR  - https://m2.mtmt.hu/api/publication/22947107
ID  - 22947107
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
AU  - Miyamoto, S
TI  - METRIC DISCREPANCY RESULTS FOR ERDOS-FORTET SEQUENCE
JF  - STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
J2  - STUD SCI MATH HUNG
VL  - 49
PY  - 2012
IS  - 1
SP  - 52
EP  - 78
PG  - 27
SN  - 0081-6906
DO  - 10.1556/SScMath.2011.1186
UR  - https://m2.mtmt.hu/api/publication/22945716
ID  - 22945716
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
AU  - Hiroshima, N
TI  - Metric discrepancy results for subsequences of {theta (k) x}
JF  - MONATSHEFTE FUR MATHEMATIK
J2  - MONATSH MATH
VL  - 165
PY  - 2012
IS  - 2
SP  - 199
EP  - 215
PG  - 17
SN  - 0026-9255
DO  - 10.1007/s00605-010-0235-7
UR  - https://m2.mtmt.hu/api/publication/22945715
ID  - 22945715
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Conze, J-P
AU  - Le Borgne, S
TI  - Limit law for some modified ergodic sums
JF  - STOCHASTICS AND DYNAMICS
J2  - STOCH DYNAM
VL  - 11
PY  - 2011
IS  - 1
SP  - 107
EP  - 133
PG  - 27
SN  - 0219-4937
DO  - 10.1142/S021949371100319X
UR  - https://m2.mtmt.hu/api/publication/22947111
ID  - 22947111
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, C
AU  - Berkes, István
TI  - On the central limit theorem for f (nkx)
JF  - PROBABILITY THEORY AND RELATED FIELDS
J2  - PROBAB THEORY REL
VL  - 146
PY  - 2010
IS  - 1-2
SP  - 267
EP  - 289
PG  - 23
SN  - 0178-8051
DO  - 10.1007/s00440-008-0190-6
UR  - https://m2.mtmt.hu/api/publication/2142559
ID  - 2142559
AB  - By a classical observation in analysis, lacunary subsequences of the trigonometric system behave like independent random variables: they satisfy the central limit theorem, the law of the iterated logarithm and several related probability limit theorems. For subsequences of the system (f(nx))n≥1 with 2π-periodic fεL2 this phenomenon is generally not valid and the asymptotic behavior of (f(nkx))k≥1 is determined by a complicated interplay between the analytic properties of f (e.g., the behavior of its Fourier coefficients) and the number theoretic properties of nk. By the classical theory, the central limit theorem holds for f (nkx) if nk = 2k, or if nk+1/nk → α with a transcendental α, but it fails e.g., for nk = 2k - 1. The purpose of our paper is to give a necessary and sufficient condition for f (nkx) to satisfy the central limit theorem. We will also study the critical CLT behavior of f (nkx), i.e., the question what happens when the arithmetic condition of the central limit theorem is weakened "infinitesimally". © Springer-Verlag 2008.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Aistleitner, C
TI  - ON THE LAW OF THE ITERATED LOGARITHM FOR THE DISCREPANCY OF LACUNARY SEQUENCES
JF  - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
J2  - T AM MATH SOC
VL  - 362
PY  - 2010
IS  - 11
SP  - 5967
EP  - 5982
PG  - 16
SN  - 0002-9947
DO  - 10.1090/S0002-9947-2010-05026-3
UR  - https://m2.mtmt.hu/api/publication/26119254
ID  - 26119254
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
AU  - Weber, M
TI  - On the convergence of sum c_kf(n_kx)
JF  - MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
J2  - MEM AM MATH SOC
VL  - 201
PY  - 2009
IS  - 943
SP  - 1
EP  - 72
PG  - 72
SN  - 0065-9266
DO  - 10.1090/memo/0943
UR  - https://m2.mtmt.hu/api/publication/169526
ID  - 169526
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
TI  - The law of the iterated logarithm for the discrepancies of a permutation of {n (k) x}
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 123
PY  - 2009
IS  - 1-2
SP  - 121
EP  - 125
PG  - 5
SN  - 0236-5294
DO  - 10.1007/s10474-008-8067-9
UR  - https://m2.mtmt.hu/api/publication/22945720
ID  - 22945720
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Weber, M
ED  - Weber, M
TI  - The von Neumann theorem and spectral regularization
T2  - DYNAMICAL SYSTEMS AND PROCESSES
SN  - 9783037190463
T3  - IRMA Lectures in Mathematics and Theoretical Physics ; 14.
PY  - 2009
SP  - 3
EP  - +
UR  - https://m2.mtmt.hu/api/publication/22946843
ID  - 22946843
N1  - D2 10.4171/046
Megjegyzés-22945719
D2 10.4171/046
Megjegyzés-22945766
D2 10.4171/046
Megjegyzés-22946299
D2 10.4171/046
Megjegyzés-22946318
D2 10.4171/046
Megjegyzés-22945693
D2 10.4171/046
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
TI  - The law of the iterated logarithm for discrepancies of {theta(n)x}
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 118
PY  - 2008
IS  - 1-2
SP  - 155
EP  - 170
PG  - 16
SN  - 0236-5294
DO  - 10.1007/s10474-007-6201-8
UR  - https://m2.mtmt.hu/api/publication/22945721
ID  - 22945721
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Fukuyama, K
ED  - Berkes, István
ED  - Csáki, Endre
ED  - Csörgő, M
TI  - The central limit theorem for non-conventional averages
T2  - Limit theorems in probability and statistics II
PB  - János Bolyai Mathematical Society
CY  - Budapest
SN  - 9639453013
PY  - 2002
SP  - 77
EP  - 90
PG  - 14
UR  - https://m2.mtmt.hu/api/publication/22945768
ID  - 22945768
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - K, Fukuyama
AU  - B, Petit
TI  - Le théorème limite central pour les suites de R. C. Baker
JF  - ERGODIC THEORY AND DYNAMICAL SYSTEMS
J2  - ERGOD THEOR DYN SYST
VL  - 21
PY  - 2001
IS  - 2
SP  - 479
EP  - 492
PG  - 14
SN  - 0143-3857
DO  - 10.1017/S0143385701001237
UR  - https://m2.mtmt.hu/api/publication/22328124
ID  - 22328124
LA  - French
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
TI  - The central limit theorem for ∑ f(θn x)g(θn2 x)
JF  - ERGODIC THEORY AND DYNAMICAL SYSTEMS
J2  - ERGOD THEOR DYN SYST
VL  - 20
PY  - 2000
IS  - 5
SP  - 1335
EP  - 1353
PG  - 19
SN  - 0143-3857
DO  - 10.1017/S0143385700000729
UR  - https://m2.mtmt.hu/api/publication/22945741
ID  - 22945741
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Péter, Erika
TI  - A Probability Limit Theorem for {f(nx)}
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 87
PY  - 2000
IS  - 1-2
SP  - 23
EP  - 31
PG  - 9
SN  - 0236-5294
DO  - 10.1023/A:1006716931963
UR  - https://m2.mtmt.hu/api/publication/1738274
ID  - 1738274
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
AU  - Philipp, W
TI  - A limit theorem for lacunary series summa f(nkx)
JF  - STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
J2  - STUD SCI MATH HUNG
VL  - 34
PY  - 1998
IS  - 1-3
SP  - 1
EP  - 13
PG  - 13
SN  - 0081-6906
UR  - https://m2.mtmt.hu/api/publication/167577
ID  - 167577
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Fukuyama, K
TI  - Riesz-raikov sums and weyl transform
JF  - MONTE CARLO METHODS AND APPLICATIONS
J2  - MONTE CARLO METH APPL
VL  - 2
PY  - 1996
IS  - 4
SP  - 271
EP  - 293
PG  - 23
SN  - 0929-9629
UR  - https://m2.mtmt.hu/api/publication/22945744
ID  - 22945744
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - FUKUYAMA, K
TI  - THE CENTRAL-LIMIT-THEOREM FOR RIESZ-RAIKOV SUMS
JF  - PROBABILITY THEORY AND RELATED FIELDS
J2  - PROBAB THEORY REL
VL  - 100
PY  - 1994
IS  - 1
SP  - 57
EP  - 75
PG  - 19
SN  - 0178-8051
DO  - 10.1007/BF01204953
UR  - https://m2.mtmt.hu/api/publication/22945769
ID  - 22945769
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - FUKUYAMA, K
TI  - FUNCTIONAL LAW OF THE ITERATED LOGARITHM FOR LACUNARY TRIGONOMETRIC AND SOME GAP SERIES
JF  - JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
J2  - J MATH KYOTO U
VL  - 32
PY  - 1992
IS  - 4
SP  - 967
EP  - 987
PG  - 21
SN  - 0023-608X
UR  - https://m2.mtmt.hu/api/publication/22945770
ID  - 22945770
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - BINGHAM, NH
TI  - VARIANTS ON THE LAW OF THE ITERATED LOGARITHM
JF  - BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
J2  - B LOND MATH SOC
VL  - 18
PY  - 1986
SP  - 432
EP  - 467
PG  - 36
SN  - 0024-6093
DO  - 10.1112/blms/18.5.433
UR  - https://m2.mtmt.hu/api/publication/25748824
ID  - 25748824
N1  - Admin megjegyzés-20076787
#JournalID1#
Name: BULL LOND MATH SOC
ISSN: 0024-6093
#JournalID2#
Megjegyzés-22689643
PN Part 5
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LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - KAUFMAN, R
TI  - ON THE APPROXIMATION OF LACUNARY SERIES BY BROWNIAN-MOTION
JF  - ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE
J2  - ACTA MATH ACAD SCI HUNG
VL  - 35
PY  - 1980
IS  - 1-2
SP  - 61
EP  - 66
PG  - 6
SN  - 0001-5954
DO  - 10.1007/BF01896825
UR  - https://m2.mtmt.hu/api/publication/22945772
ID  - 22945772
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - DELJUNCO, A
AU  - ROSENBLATT, J
TI  - COUNTEREXAMPLES IN ERGODIC THEORY AND NUMBER THEORY
JF  - MATHEMATISCHE ANNALEN
J2  - MATH ANN
VL  - 245
PY  - 1979
IS  - 3
SP  - 185
EP  - 197
PG  - 13
SN  - 0025-5831
DO  - 10.1007/BF01673506
UR  - https://m2.mtmt.hu/api/publication/22945773
ID  - 22945773
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
AU  - W, Philipp
TI  - An a.s. invariance principle for lacunary series f(nkx)
JF  - ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE
J2  - ACTA MATH ACAD SCI HUNG
VL  - 34
PY  - 1979
IS  - 1-2
SP  - 141
EP  - 155
PG  - 15
SN  - 0001-5954
DO  - 10.1007/BF01902603
UR  - https://m2.mtmt.hu/api/publication/1926655
ID  - 1926655
N1  - WoS:hiba:A1979HY17700019 2019-03-03 01:42 első szerző nem egyezik, cím nem egyezik
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - On a central limit theorem for lacunary trigonometric series
JF  - ANALYSIS MATHEMATICA
J2  - ANAL MATH
VL  - 4
PY  - 1978
SP  - 159
EP  - 180
PG  - 22
SN  - 0133-3852
DO  - 10.1007/BF01908987
UR  - https://m2.mtmt.hu/api/publication/1926682
ID  - 1926682
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - PHILIPP, W
TI  - FUNCTIONAL LAW OF ITERATED LOGARITHM FOR EMPIRICAL DISTRIBUTION FUNCTIONS OF WEAKLY DEPENDENT RANDOM-VARIABLES
JF  - ANNALS OF PROBABILITY
J2  - ANN PROBAB
VL  - 5
PY  - 1977
IS  - 3
SP  - 349
EP  - 350
PG  - 2
SN  - 0091-1798
UR  - https://m2.mtmt.hu/api/publication/22945775
ID  - 22945775
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - On the asymptotic behaviour of {perspective}f(nkx) - Applications
JF  - ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE
J2  - Z WAHRSC VERW GEBIETE
VL  - 34
PY  - 1976
IS  - 4
SP  - 347
EP  - 365
PG  - 19
SN  - 0044-3719
DO  - 10.1007/BF00535968
UR  - https://m2.mtmt.hu/api/publication/2142576
ID  - 2142576
N1  - WoS:hiba:A1976BM63700006 2019-03-02 22:35 cím nem egyezik
LA  - English
DB  - MTMT
ER  -