collaborators

4 papers

math.DS2023

Normalization of strongly hyperbolic logarithmic transseries and complex Dulac germs

Dino Peran

We give normal forms for strongly hyperbolic logarithmic transseries f = z^r + ... (r is a positive real number nonequal to 1), with respect to parabolic logarithmic normalizations…

math.CA2021

Normal forms of parabolic logarithmic transseries

Dino Peran

We give formal normal forms for parabolic logarithmic transseries , with respect to parabolic logarithmic normalizations. Normalizations are given algorithmically,…

math.DS2021

Linearization of complex hyperbolic Dulac germs

Dino Peran, Maja Resman, Jean-Philippe Rolin +1

We prove that a hyperbolic Dulac germ with complex coefficients in its expansion is linearizable on a standard quadratic domain and that the linearizing coordinate is again a compl…

math.DS2021

Normal forms of hyperbolic logarithmic transseries

Dino Peran, Maja Resman, Jean-Philippe Rolin +1

We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient conditi…