12 citations · 14 across the 3 of their papers we have counts for
3 papers
math.CV2016★ 1 cited
Algebraic isomonodromic deformations of the five punctured sphere arising from quintic plane curves
Arnaud Girand
In this paper, we classify the algebraic isomonodromic deformations that can be obtained through restriction to generic lines of logarithmic flat connections on the complex project…
math.CV2015★ 1 cited
A new two--parameter family of isomonodromic deformations over the five punctured sphere
Arnaud Girand
The object of this paper is to describe an explicit two--parameter family of logarithmic flat connections over the complex projective plane. These connections have dihedral monodro…
math.DS2013★ 12 cited
Dynamical Green Functions and Discrete Schrödinger Operators with Potentials Generated by Primitive Invertible Substitution
Arnaud Girand
In this paper, we set up a "dictionary" between discrete Schrödinger operators and the holomorphic dynamics on certain affine cubic surfaces, building on previous work by Cantat, D…