A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …

A number of very different approaches to quantum gravity contain a common thread, a hint
that spacetime at very short distances becomes effectively two dimensional. I review this …

Lectures on Perception: An Ecological Perspective addresses the generic principles by
which each and every kind of life form—from single celled organisms (eg, difflugia) to multi …

Wannier-Mott excitons in anisotropic or confined systems are studied using the model of
fractional-dimensional space. The excitons in an anisotropic solid are treated as ones in an …

Recent findings in the computer sciences, discrete mathematics, formal logics and
metamathematics have opened up a royal road for the investigation of undecidability and …

We propose a model for a power-counting renormalizable field theory living in a fractal
spacetime. The action is Lorentz covariant and equipped with a Stieltjes measure. The …

We review the present status of quantum-gravity phenomenology in relation to gravitational
waves (GWs). The topic can be approached from two directions, a model-dependent one …

A bstract We construct a theory of fields living on continuous geometries with fractional
Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski …

Spacetime is modelled as a fractal subset of R n. Analysis on homogeneous sets with non-
integer Hausdorff dimensions is applied to the low-order perturbative renormalisation of …

We study a class of perturbative scalar quantum field theories where dynamics is
characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional …