ProV Logo
0

Central limit theorem for generalized We...
de Lima, Amanda...
Central limit theorem for generalized Weierstrass functions by de Lima, Amanda ( Author )
N.A
09-08-2015
Let f be a C2+ϵ expanding map of the circle and v be a C1+ϵ real function of the circle. Consider the twisted cohomological equation v(x)=α(f(x))−Df(x)α(x) which has a unique bounded solution α. We prove that α is either C1+ϵ or nowhere differentiable, and if α is nowhere differentiable then the Newton quotients of α, after an appropriated normalization, converges in distribution to the normal distribution, with respect to the unique absolutely continuous invariant probability of f.
-
Article
pdf
36.88 KB
English
-
MYR 0.00
-
https://arxiv.org/abs/1508.02033
Share this eBook