We give examples of infinitely renormalizable quadratic polynomials Fc : z 7→ z 2 + c with stationary combinatorics whose Julia sets have Hausdorff dimension arbitrary close to 1. The combinatorics of the renormalization involved is close to the Chebyshev one. The argument is based upon a new tool, a “Recursive Quadratic Estimate” for the Poincaré series of an infinitely renormalizable map. Sto...

V. Manasson has applied dissipative chaos theory to particle physics, deriving a simple relation between the fine structure constant and Feigenbaum delta constant. It is presented a preon model based on Manasson's theory. The model is intended as a naive toy one, as it makes use of unjustified assumptions, as e.g. the possibility of the existence of neither fermionic nor bosonic particles in 3+...