3 papers
math.DS2011
Local analytic conjugacy of resonant analytic mappings in two variables, in the non-archimedean setting
Adrian Jenkins, Steven Spallone
In this note, we consider locally invertible analytic mappings in two dimensions, with coefficients in a non-archimedean field. Suppose such a map has a Jacobian with eigenvalues $…
math.DS2010
Lipeomorphic equivalence for p-adic analytic functions: a comparison between complex and p-adic dynamics
Adrian Jenkins, Steven Spallone
Let K be a p-adic field, and suppose that f and g are germs of analytic functions on K which are tangent to the identity at 0. It is known that f and g are homeomorphically equival…
math.DS2007
A p-adic approach to local analytic dynamics: analytic flows and analytic maps tangent to the identity
Adrian Jenkins, Steven Spallone
In this note, we will consider the question of local equivalence of analytic functions which fix the origin and are tangent to the identity, as well as the question of flows of ana…