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Pré-Publication, Document De Travail Année : 2011

Coefficient estimates for whole-plane SLE processes

Résumé

Loewner introduced his famous differential equation in 1923 in order to solve Bieberbach conjecture for n=3. His method has been revived in 1999 by Ode Schramm who introduced Stochastic Loewner processes which happened to open many doors in statistical mechanics. The aim of this paper is to revisit Bieberbach conjecture in the framework of SLE and more generally Lévy processes. This has lead to astonishing results and conjectures.
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Dates et versions

hal-00609774 , version 1 (20-07-2011)

Identifiants

  • HAL Id : hal-00609774 , version 1

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Bertrand Duplantier, Chi Nguyen, Nga Nguyen, Michel Zinsmeister. Coefficient estimates for whole-plane SLE processes. 2011. ⟨hal-00609774⟩
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