F. Moreira

activity

20032018

most citedTopological obstructions to smoothness for infinitely renormalizable maps of the disk

4 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2018★ 1 cited

Ultralimits of Birkhoff averages

Maria Carvalho, Fernando Moreira

Given a compact metric space $X$ and a probability measure in the $σ -$ algebra of Borel subsets of $X$ , we will establish a dominated convergence theorem for ultralimits of sequence…

math.DS2012★ 1 cited

An ergodic theorem for non-invariant measures

Maria Carvalho, Fernando Moreira

Given a space $X$ , a $σ$ -algebra $B$ on $X$ and a measurable map $T : X \to X$ , we say that a measure $μ$ is half-invariant if, for any $B \in B$ , we have $μ(T^…

math.DS2011

Sharkovskii order for non-wandering points

M. Carvalho, F. Moreira

For a map $f : I \to I$ , a point $x \in I$ is periodic with period $p \in N$ if $f^{p} (x) = x$ and $f^{j} (x) \neq = x$ for all $0 < j < p$ . When $f$ is continuous and $I$ is an i…

math.DS2003★ 4 cited

Topological obstructions to smoothness for infinitely renormalizable maps of the disk

F. J. Moreira

We analyze the signature type of a cascade of periodic orbits associated to period doubling renormalizable maps of the two dimensional disk. The signature is a sequence of rational…