Dynamical phase transition for a logarithm observable in chaotic systems

Lucianno Defaveri, Naftali R. Smith

We consider the full distribution $P_N(A)$ of the dynamical observable $A=-{\sum }_{i=1}^N\ln x_i$ where $x_1,\dots ,x_N$ is a sequence generated by a chaotic map $f(x)$ via $x_{…