%0 Conference Proceedings
%T Geometric quantization of complex Monge-Ampère Operator for certain diffusion flows
%+ Institut de Mathématiques de Marseille (I2M)
%A Keller, Julien
%Z Slides disponibles sur http://www.i2m.univ-amu.fr/~jkeller/Papers/GSI13-slides.pdf
%< avec comité de lecture
%B Geometric Science of Information, First International Conference, GSI 2013, Paris, France,
%C Paris, France
%Y Frank Nielsen, Frédéric Barbaresco
%I Springer
%3 Lecture Notes in Computer Science
%V 8085
%8 2016-08-28
%D 2016
%R 10.1007/978-3-642-40020-9
%K Donaldson
%K balanced
%K Fischer metric
%K Rao
%K statistical model
%K diffusion flows
%Z Mathematics [math]/Differential Geometry [math.DG]
%Z Mathematics [math]/Complex Variables [math.CV]
%Z Computer Science [cs]/Computational Geometry [cs.CG]Conference papers
%X Certain natural geometric evolution flows for Kahler metrics have been interpreted as anisotropic filtering operators. These flows are typicallygiven by highly non linear PDE and involve usually transcendental and non-constructive techniques. The main objective of this note is to show that incertain cases, Geometric Quantization theory helps to overcome these difficulties and provides new algorithms based on S.K. Donaldson’s ideas.
%G English
%L hal-01282555
%U https://hal.science/hal-01282555
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ AMIDEX
%~ ANR