A lower bound in the law of the iterated logarithm for general lacunary series

Charles N. Moore, and Xiaojing Zhang. "A lower bound in the law of the iterated logarithm for general lacunary series." Studia Mathematica 222.3 (2014): 207-228. <http://eudml.org/doc/285486>.

@article{CharlesN2014,
abstract = {We prove a lower bound in a law of the iterated logarithm for sums of the form $∑_\{k=1\}^\{N\} a_\{k\}f(n_\{k\}x+c_\{k\})$ where f satisfies certain conditions and the $n_\{k\}$ satisfy the Hadamard gap condition $n_\{k+1\}/n_\{k\} ≥ q > 1$.},
author = {Charles N. Moore, Xiaojing Zhang},
journal = {Studia Mathematica},
keywords = {law of the iterated logarithm; lacunary series; martingale difference sequence},
language = {eng},
number = {3},
pages = {207-228},
title = {A lower bound in the law of the iterated logarithm for general lacunary series},
url = {http://eudml.org/doc/285486},
volume = {222},
year = {2014},
}

TY - JOUR
AU - Charles N. Moore
AU - Xiaojing Zhang
TI - A lower bound in the law of the iterated logarithm for general lacunary series
JO - Studia Mathematica
PY - 2014
VL - 222
IS - 3
SP - 207
EP - 228
AB - We prove a lower bound in a law of the iterated logarithm for sums of the form $∑_{k=1}^{N} a_{k}f(n_{k}x+c_{k})$ where f satisfies certain conditions and the $n_{k}$ satisfy the Hadamard gap condition $n_{k+1}/n_{k} ≥ q > 1$.
LA - eng
KW - law of the iterated logarithm; lacunary series; martingale difference sequence
UR - http://eudml.org/doc/285486
ER -