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SUMMARY:Explicit linearization of multi-dimensional germs and vector field
 s through Ecalle's tree expansions
DTSTART:20260521T133000Z
DTEND:20260521T150000Z
DTSTAMP:20260513T040300Z
UID:indico-event-3073@indico.obspm.fr
CONTACT:2126
DESCRIPTION:Speakers: David Sauzin (ASD\, CNRS)\n\njoint work with Frédé
 ric Fauvet (Strasbourg) and Frédéric Menous (Orsay)\nWe provide explicit
  formulas of non-recursive type for the linearizing transformations of a n
 on-resonant analytic germ of diffeomorphism at a fixed point or a non-reso
 nant analytic germ of vector field at a singular point\, in any complex di
 mension. The formal expressions we obtain rely on a part of Ecalle's tree-
 based combinatorics called "armould calculus" and they have the same shape
  for dynamical systems with discrete or continuous time. They allow us to 
 recover in a straightforward manner\, under Bruno's arithmetical condition
 \, the best known estimates for the domains of convergence of the analytic
  linearizing changes of variables in terms of the value of the Bruno serie
 s. https://arxiv.org/pdf/2507.13216\n\nhttps://indico.obspm.fr/event/3073
 /
LOCATION:Denisse (PARIS)
URL:https://indico.obspm.fr/event/3073/
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