A 2-adic approach of the human respiratory tree

@article{Bernicot2010A2A,
  title={A 2-adic approach of the human respiratory tree},
  author={Fr{\'e}d{\'e}ric Bernicot and Bertrand Maury and Delphine Salort},
  journal={Networks Heterog. Media},
  year={2010},
  volume={5},
  pages={405-422}
}
We propose here a general framework to address the question of trace operators on a dyadic tree. This work is motivated by the modeling of the human bronchial tree which, thanks to its regularity, can be extrapolated in a natural way to an infinite resistive tree. The space of pressure fields at bifurcation nodes of this infinite tree can be endowed with a Sobolev space structure, with a semi-norm which measures the instantaneous rate of dissipated energy. We aim at describing the behaviour of… 

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