Cosmographic reconstruction of $f(\mathcal{T})$ cosmology
  A cosmographic reconstruction of $f(\mathcal T)$ models is here revised in a
model independent way by fixing observational bounds on the most relevant terms
of the $f(\mathcal T)$ Taylor expansion. We relate the $f(\mathcal T)$ models
and their derivatives to the cosmographic parameters and then adopt a Monte
Carlo analysis. The experimental bounds are thus independent of the choice of a
particular $f(\mathcal T)$ model. The advantage of such an analysis lies on
constraining the dynamics of the universe by reconstructing the form of
$f(\mathcal T)$, without any further assumptions apart from the validity of the
cosmological principle and the analyticity of the $f(\mathcal T)$ function. The
main result is to fix model independent cosmographic constraints on the
functional form of $f(\mathcal T)$ which are compatible with the theoretical
predictions. Furthermore, we infer a phenomenological expression for
$f(\mathcal T)$, compatible with the current cosmographic bounds and show that
small deviations are expected from a constant $f(\mathcal T)$ term, indicating
that the equation of state of dark energy could slightly evolve from the one of
the $\Lambda$CDM model.
