TY  - JOUR
AU  - Berkes, István
AU  - Philipp, W
TI  - Trigonometric series and uniform distribution mod 1
JF  - STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
J2  - STUD SCI MATH HUNG
VL  - 31
PY  - 1996
IS  - 1-3
SP  - 15
EP  - 25
PG  - 11
SN  - 0081-6906
UR  - https://m2.mtmt.hu/api/publication/167201
ID  - 167201
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - An optimal condition for the lil for trigonometric series
JF  - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
J2  - T AM MATH SOC
VL  - 347
PY  - 1995
IS  - 2
SP  - 515
EP  - 530
PG  - 16
SN  - 0002-9947
DO  - 10.1090/S0002-9947-1995-1282883-1
UR  - https://m2.mtmt.hu/api/publication/3125028
ID  - 3125028
AB  - By a classical theorem is a sequence of positive integers satisfying then obeys the law of the iterated logarithm, i.e., limsup It is also known (Takahashi [7, 8]) that the Hadamard gap condition can be essentially weakened here but the problem of finding the precise gap condition for the LIL (1) has remained open. In this paper we find, using combinatorial methods, an optimal gap condition for the upper half of the LIL, i.e., the inequality. © 1995 American Mathematical Society.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - An optimal condition for the LIL for trigonometric series
JF  - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
J2  - T AM MATH SOC
VL  - 347
PY  - 1995
IS  - 2
SP  - 515
EP  - 530
PG  - 16
SN  - 0002-9947
DO  - 10.2307/2154899
UR  - https://m2.mtmt.hu/api/publication/167033
ID  - 167033
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - Critical LIL behavior of the trigonometric system
JF  - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
J2  - T AM MATH SOC
VL  - 338
PY  - 1993
IS  - 2
SP  - 553
EP  - 585
PG  - 33
SN  - 0002-9947
DO  - 10.2307/2154417
UR  - https://m2.mtmt.hu/api/publication/166705
ID  - 166705
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - Non-Gaussian limit distributions of lacunary trigonometric series
JF  - CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
J2  - CAN J MATH
VL  - 43
PY  - 1991
SP  - 948
EP  - 959
PG  - 12
SN  - 0008-414X
DO  - 10.4153/CJM-1991-052-0
UR  - https://m2.mtmt.hu/api/publication/1926614
ID  - 1926614
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berkes, István
TI  - An almost sure invariance principle for lacunary trigonometric series
JF  - ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE
J2  - ACTA MATH ACAD SCI HUNG
VL  - 26
PY  - 1975
IS  - 1-2
SP  - 209
EP  - 220
PG  - 12
SN  - 0001-5954
DO  - 10.1007/BF01895964
UR  - https://m2.mtmt.hu/api/publication/2142578
ID  - 2142578
N1  - WoS:hiba:A1975AA06700022 2019-03-08 03:53 cím nem egyezik
LA  - English
DB  - MTMT
ER  -