67 citations · 128 across the 35 of their papers we have counts for
5 papers · 1 filter
Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae
Stefano Marmi, Piergiulio Tempesta
A generalization of the classical Lipschitz summation formula is proposed. It involves new polylogarithmic rational functions constructed via the Fourier expansion of certain seque…
Potts models on hierarchical lattices and Renormalization Group dynamics II: examples and numerical results
Jacopo De Simoi
We obtain the exact renormalization map and plots of Lee-Yang and Fisher zeros distributions for Potts models on a number of hierarchical lattices: the diamond hierarchical lattice…
Potts models on hierarchical lattices and Renormalization Group dynamics
Jacopo De Simoi, Stefano Marmi
We prove that the generator of the renormalization group of Potts models on hierarchical lattices can be represented by a rational map acting on a finite-dimensional product of com…
A quasianalyticity property for monogenic solutions of small divisor problems
Stefano Marmi, David Sauzin
We discuss the quasianalytic properties of various spaces of functions suitable for one-dimensional small divisor problems. These spaces are formed of functions C^1-holomorphic on…
Generalized Brjuno functions associated to -continued fractions
Laura Luzzi, Stefano Marmi, Hitoshi Nakada +1
For αin the interval [0,1], we consider the one-parameter family of α-continued fraction maps, which include the Gauss map (α=1) and the nearest integer (α=1/2) and by-excess (α=0)…